<?xml version='1.0' encoding='UTF-8'?><?xml-stylesheet href="http://www.blogger.com/styles/atom.css" type="text/css"?><feed xmlns='http://www.w3.org/2005/Atom' xmlns:openSearch='http://a9.com/-/spec/opensearchrss/1.0/' xmlns:blogger='http://schemas.google.com/blogger/2008' xmlns:georss='http://www.georss.org/georss' xmlns:gd="http://schemas.google.com/g/2005" xmlns:thr='http://purl.org/syndication/thread/1.0'><id>tag:blogger.com,1999:blog-7239212013783179876</id><updated>2025-09-25T00:01:26.682-07:00</updated><title type='text'>AS and A level Physics  notes and revision</title><subtitle type='html'>Its all about o level and a level physics students who are serious about their exams and seek online help.</subtitle><link rel='http://schemas.google.com/g/2005#feed' type='application/atom+xml' href='http://astarphysics.blogspot.com/feeds/posts/default'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/7239212013783179876/posts/default?redirect=false'/><link rel='alternate' type='text/html' href='http://astarphysics.blogspot.com/'/><link rel='hub' href='http://pubsubhubbub.appspot.com/'/><link rel='next' type='application/atom+xml' href='http://www.blogger.com/feeds/7239212013783179876/posts/default?start-index=26&amp;max-results=25&amp;redirect=false'/><author><name>Anonymous</name><uri>http://www.blogger.com/profile/14858239409097269667</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><generator version='7.00' uri='http://www.blogger.com'>Blogger</generator><openSearch:totalResults>35</openSearch:totalResults><openSearch:startIndex>1</openSearch:startIndex><openSearch:itemsPerPage>25</openSearch:itemsPerPage><entry><id>tag:blogger.com,1999:blog-7239212013783179876.post-473018990616235452</id><published>2012-04-20T20:57:00.000-07:00</published><updated>2012-04-20T20:57:34.168-07:00</updated><title type='text'>Samll phyisics exam point</title><content type='html'>Look carefully&lt;br /&gt;
dispalacement travelled in t seconds is different from disaplacement travelled in t th second .&lt;br /&gt;
&lt;br /&gt;</content><link rel='replies' type='application/atom+xml' href='http://astarphysics.blogspot.com/feeds/473018990616235452/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://astarphysics.blogspot.com/2012/04/samll-phyisics-exam-point.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/7239212013783179876/posts/default/473018990616235452'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/7239212013783179876/posts/default/473018990616235452'/><link rel='alternate' type='text/html' href='http://astarphysics.blogspot.com/2012/04/samll-phyisics-exam-point.html' title='Samll phyisics exam point'/><author><name>Anonymous</name><uri>http://www.blogger.com/profile/14858239409097269667</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-7239212013783179876.post-2213500375336873484</id><published>2012-04-15T06:24:00.000-07:00</published><updated>2012-04-15T06:24:57.764-07:00</updated><title type='text'>Heat</title><content type='html'>&lt;u&gt;&lt;span style=&quot;background-color: yellow; color: red;&quot;&gt;The relationship between linear expansivity and area expansivity:&lt;/span&gt;&lt;/u&gt;&lt;br /&gt;
&lt;span style=&quot;color: red;&quot;&gt;&lt;u&gt;&lt;br /&gt;&lt;/u&gt;&lt;/span&gt;&lt;br /&gt;
The linear expansivity of a material is equal to half times the area expansivity of a material.&lt;br /&gt;
HENCE &amp;nbsp;area expansivity =2 x linear expansivity&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;u&gt;&lt;span style=&quot;background-color: yellow; color: red;&quot;&gt;The relationship between linear expansivity and volume expansivity:&lt;/span&gt;&lt;/u&gt;
&lt;br /&gt;
&lt;br /&gt;
The linear expansivity of a material equals to one third of the volume expansivity of the material.&lt;br /&gt;
&lt;br /&gt;
HENCE volume expansivity = 3 x linear expansivity&lt;br /&gt;
&lt;br /&gt;
These relationships should be remembered , because in the question only one form of linear expansivity will be given and you have to deduce the other forms.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;</content><link rel='replies' type='application/atom+xml' href='http://astarphysics.blogspot.com/feeds/2213500375336873484/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://astarphysics.blogspot.com/2012/04/heat.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/7239212013783179876/posts/default/2213500375336873484'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/7239212013783179876/posts/default/2213500375336873484'/><link rel='alternate' type='text/html' href='http://astarphysics.blogspot.com/2012/04/heat.html' title='Heat'/><author><name>Anonymous</name><uri>http://www.blogger.com/profile/14858239409097269667</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-7239212013783179876.post-3787948448525726653</id><published>2012-04-15T02:32:00.000-07:00</published><updated>2012-04-15T02:32:18.351-07:00</updated><title type='text'>Radioactivity</title><content type='html'>&lt;br /&gt;
&lt;div n=&quot;0&quot; o=&quot;848&quot; p=&quot;0&quot; q=&quot;540&quot; style=&quot;bottom: 0px; left: 0px; position: absolute; right: 0px; top: 0px; visibility: visible; z-index: -9983;&quot;&gt;
&lt;!--?import namespace = g_vml_ urn = &quot;urn:schemas-microsoft-com:vml&quot; implementation 
= &quot;#default#VML&quot; /--&gt;&lt;g_vml_:shape coordsize=&quot;5370,8480&quot; fillcolor=&quot;white&quot; filled=&quot;t&quot; path=&quot; m0,50 l0,8390 at0,8390,100,8490,-500,8390,0,8890 l5310,8490 at5310,8390,5410,8490,5310,8890,5810,8390 l5410,50 at5310,0,5410,100,5810,0,5310,-500 l50,0 at0,0,100,100,0,-500,-499,25 e&quot; stroked=&quot;f&quot; style=&quot;height: 847px; left: 0px; position: absolute; top: 0px; width: 538px;&quot;&gt;&lt;g_vml_:fill opacity=&quot;1&quot;&gt;&lt;/g_vml_:fill&gt;&lt;/g_vml_:shape&gt;&lt;g_vml_:shape coordsize=&quot;5370,8480&quot; fillcolor=&quot;black&quot; filled=&quot;f&quot; path=&quot; m0,45 l0,8445 at0,8390,100,8490,-500,8390,124,8874 e&quot; strokecolor=&quot;#ddd&quot; stroked=&quot;t&quot; strokeweight=&quot;.75pt&quot; style=&quot;height: 847px; left: 0px; position: absolute; top: 0px; width: 538px;&quot;&gt;&lt;g_vml_:stroke endcap=&quot;flat&quot; joinstyle=&quot;miter&quot; miterlimit=&quot;10&quot; opacity=&quot;1&quot;&gt;&lt;/g_vml_:stroke&gt;&lt;/g_vml_:shape&gt;&lt;g_vml_:shape coordsize=&quot;5370,8480&quot; fillcolor=&quot;black&quot; filled=&quot;f&quot; path=&quot; m50,8490 l5365,8490 at5310,8390,5410,8490,5310,8890,5810,8390 e&quot; strokecolor=&quot;#ddd&quot; stroked=&quot;t&quot; strokeweight=&quot;.75pt&quot; style=&quot;height: 847px; left: 0px; position: absolute; top: 0px; width: 538px;&quot;&gt;&lt;g_vml_:stroke endcap=&quot;flat&quot; joinstyle=&quot;miter&quot; miterlimit=&quot;10&quot; opacity=&quot;1&quot;&gt;&lt;/g_vml_:stroke&gt;&lt;/g_vml_:shape&gt;&lt;g_vml_:shape coordsize=&quot;5370,8480&quot; fillcolor=&quot;black&quot; filled=&quot;f&quot; path=&quot; m5410,8440 l5410,45 at5310,0,5410,100,5810,0,5310,-500 e&quot; strokecolor=&quot;#ddd&quot; stroked=&quot;t&quot; strokeweight=&quot;.75pt&quot; style=&quot;height: 847px; left: 0px; position: absolute; top: 0px; width: 538px;&quot;&gt;&lt;g_vml_:stroke endcap=&quot;flat&quot; joinstyle=&quot;miter&quot; miterlimit=&quot;10&quot; opacity=&quot;1&quot;&gt;&lt;/g_vml_:stroke&gt;&lt;/g_vml_:shape&gt;&lt;g_vml_:shape coordsize=&quot;5370,8480&quot; fillcolor=&quot;black&quot; filled=&quot;f&quot; path=&quot; m5360,0 l50,0 at0,0,100,100,124,-484,-484,124 e&quot; strokecolor=&quot;#ddd&quot; stroked=&quot;t&quot; strokeweight=&quot;.75pt&quot; style=&quot;height: 847px; left: 0px; position: absolute; top: 0px; width: 538px;&quot;&gt;&lt;g_vml_:stroke endcap=&quot;flat&quot; joinstyle=&quot;miter&quot; miterlimit=&quot;10&quot; opacity=&quot;1&quot;&gt;&lt;/g_vml_:stroke&gt;&lt;/g_vml_:shape&gt;&lt;/div&gt;
&lt;div class=&quot;post-outer&quot; closure_uid_jw2vks=&quot;11&quot; style=&quot;background-attachment: scroll; background-clip: initial; background-image: none; background-origin: initial; background-position: 0% 0%; background-repeat: repeat repeat; border-bottom-color: initial; border-bottom-style: none; border-bottom-width: medium; border-left-color: initial; border-left-style: none; border-left-width: medium; border-right-color: initial; border-right-style: none; border-right-width: medium; border-top-color: initial; border-top-style: none; border-top-width: medium; left: 1px; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; position: relative; top: 1px;&quot;&gt;

&lt;div class=&quot;post hentry&quot;&gt;
&lt;a href=&quot;&quot; name=&quot;8252922870905287867&quot;&gt;&lt;/a&gt;
&lt;h3 class=&quot;post-title entry-title&quot;&gt;
&lt;a href=&quot;http://newsciencepage.blogspot.com/2011/02/todays-chapter-is-all-about.html&quot;&gt;Todays 
chapter is all about &#39;Radioactivity&#39; its very important in science exams&lt;/a&gt; 
&lt;/h3&gt;
&lt;div class=&quot;post-header&quot;&gt;

&lt;div class=&quot;post-header-line-1&quot;&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;div class=&quot;post-body entry-content&quot;&gt;

&lt;div dir=&quot;ltr&quot; style=&quot;text-align: left;&quot; trbidi=&quot;on&quot;&gt;
&lt;br /&gt;&lt;span style=&quot;color: blue;&quot;&gt;Radioactivity &lt;/span&gt;&lt;br /&gt;Radioactivity is the change in the nucleus of the atom of an element&lt;br /&gt;There 
are three different types of radioactivity&lt;br /&gt;They are:&lt;br /&gt;
&lt;ol&gt;
&lt;li&gt;alpha [ ] radiation 
&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Beta [ ] radiation&lt;/strong&gt; 
&lt;div align=&quot;right&quot;&gt;
&lt;/div&gt;
&lt;/li&gt;
&lt;li&gt;Gamma [ ] radiation &lt;br /&gt;When the nucleus emit these radiation the nucleus 
changes and a new atom of a different element is formed &lt;br /&gt;Alpha 
radiation&lt;br /&gt;1) It is giving out helium nucleus&lt;br /&gt;&lt;br /&gt;When this is given out 
the mass number of the nucleus decreases by 4 and the atomic number decreases by 
2&lt;br /&gt;2) Its penetrating power is very low it can’t pass through even thin paper 
but a thin metal sheet can stop it.&lt;br /&gt;3) It is heavier than beta&lt;br /&gt;4) It is 
deflected by electric and magnetic field. &lt;/li&gt;
&lt;/ol&gt;
&lt;br /&gt;Beta radiation&lt;br /&gt;1) One 
neutron in the nucleus changes to proton and electron and electron is given out 
as beta radiation&lt;br /&gt;When this is given out the mass number of the nucleus does 
not change. The atomic number increases by 1&lt;br /&gt;2) The penetrating power is 
higher than alpha particle. It can penetrate few centimeters of thin aluminum 
sheet but it can’t penetrate few centimeters of lead&lt;br /&gt;3) It is light. It is 
deflected by electric and magnetic field&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://astarphysics.blogspot.com/feeds/3787948448525726653/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://astarphysics.blogspot.com/2012/04/radioactivity.html#comment-form' title='1 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/7239212013783179876/posts/default/3787948448525726653'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/7239212013783179876/posts/default/3787948448525726653'/><link rel='alternate' type='text/html' href='http://astarphysics.blogspot.com/2012/04/radioactivity.html' title='Radioactivity'/><author><name>Anonymous</name><uri>http://www.blogger.com/profile/14858239409097269667</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><thr:total>1</thr:total></entry><entry><id>tag:blogger.com,1999:blog-7239212013783179876.post-4786945846679466101</id><published>2012-04-13T02:52:00.001-07:00</published><updated>2012-04-13T02:54:33.227-07:00</updated><title type='text'>Three types of equilibrium</title><content type='html'>1.neutral equilibrium| eg a ball on a flat surface&lt;br /&gt;
2.stable equilibrium eg a ball in a downward curved surface&lt;br /&gt;
3.unstable equilibrium eg a ball on a moutain curved surface</content><link rel='replies' type='application/atom+xml' href='http://astarphysics.blogspot.com/feeds/4786945846679466101/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://astarphysics.blogspot.com/2012/04/three-types-of-equilibrium.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/7239212013783179876/posts/default/4786945846679466101'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/7239212013783179876/posts/default/4786945846679466101'/><link rel='alternate' type='text/html' href='http://astarphysics.blogspot.com/2012/04/three-types-of-equilibrium.html' title='Three types of equilibrium'/><author><name>Anonymous</name><uri>http://www.blogger.com/profile/14858239409097269667</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-7239212013783179876.post-6451149753874520874</id><published>2012-04-12T08:37:00.002-07:00</published><updated>2012-04-12T08:37:14.697-07:00</updated><title type='text'>Main types of thermometers and their specific uses</title><content type='html'>1.mercury glass thermometer- easy to use and take readings as the reding are already marked on the thermometer itself.&lt;br /&gt;
&lt;br /&gt;
2.Gas thermometer - very sensitive and accurate as the expansion of gas is very high&lt;br /&gt;
&lt;br /&gt;
3.Platinum wire resistence thermometer -measure temperatures that have a steady value&lt;br /&gt;
(mycar is used here because it is an good electric insulator but very fine conductor of heat)&lt;br /&gt;
&lt;br /&gt;
4.Thermocouple - measure temperature at a point and also temperatures which are rapidly changing.</content><link rel='replies' type='application/atom+xml' href='http://astarphysics.blogspot.com/feeds/6451149753874520874/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://astarphysics.blogspot.com/2012/04/main-types-of-thermometers-and-their.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/7239212013783179876/posts/default/6451149753874520874'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/7239212013783179876/posts/default/6451149753874520874'/><link rel='alternate' type='text/html' href='http://astarphysics.blogspot.com/2012/04/main-types-of-thermometers-and-their.html' title='Main types of thermometers and their specific uses'/><author><name>Anonymous</name><uri>http://www.blogger.com/profile/14858239409097269667</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-7239212013783179876.post-26862728639651895</id><published>2011-10-19T08:27:00.000-07:00</published><updated>2011-10-19T08:27:07.983-07:00</updated><title type='text'>All the concepts of waves that are required for A Level Physics in animation form and very interactive</title><content type='html'>Welcome to the animated are of this blog where learning becomes fun.&lt;br /&gt;
All the knowledge and stuff that you will need to learn in your A Levels when studying waves and their property and oscillations are presented below in a animated way.Learn and enjoy.&lt;br /&gt;
&lt;div id=&quot;__ss_2957723&quot; style=&quot;width: 425px;&quot;&gt;
&lt;strong style=&quot;display: block; margin: 12px 0 4px;&quot;&gt;&lt;a href=&quot;http://www.slideshare.net/josoborned/ppa6-concep-tests-ch-11&quot; target=&quot;_blank&quot; title=&quot;Ppa6 Concep Tests Ch 11&quot;&gt;Ppa6 Concep Tests Ch 11&lt;/a&gt;&lt;/strong&gt; &lt;iframe frameborder=&quot;0&quot; height=&quot;355&quot; marginheight=&quot;0&quot; marginwidth=&quot;0&quot; scrolling=&quot;no&quot; src=&quot;http://www.slideshare.net/slideshow/embed_code/2957723&quot; width=&quot;425&quot;&gt;&lt;/iframe&gt; &lt;br /&gt;
&lt;div style=&quot;padding: 5px 0 12px;&quot;&gt;
&lt;/div&gt;
&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://astarphysics.blogspot.com/feeds/26862728639651895/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://astarphysics.blogspot.com/2011/10/all-concepts-of-waves-that-are-required.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/7239212013783179876/posts/default/26862728639651895'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/7239212013783179876/posts/default/26862728639651895'/><link rel='alternate' type='text/html' href='http://astarphysics.blogspot.com/2011/10/all-concepts-of-waves-that-are-required.html' title='All the concepts of waves that are required for A Level Physics in animation form and very interactive'/><author><name>Unknown</name><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-7239212013783179876.post-1883490860565643797</id><published>2011-10-17T08:04:00.001-07:00</published><updated>2011-10-17T08:04:08.779-07:00</updated><title type='text'>What are our main purposes for the use of satellites ?</title><content type='html'>1.To transmit telecommunication messages to and fro .&lt;br /&gt;
2.To get weather news.&lt;br /&gt;
3.To get photos of the solar system or other planets.&lt;br /&gt;
4.</content><link rel='replies' type='application/atom+xml' href='http://astarphysics.blogspot.com/feeds/1883490860565643797/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://astarphysics.blogspot.com/2011/10/what-are-our-main-purposes-for-use-of.html#comment-form' title='1 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/7239212013783179876/posts/default/1883490860565643797'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/7239212013783179876/posts/default/1883490860565643797'/><link rel='alternate' type='text/html' href='http://astarphysics.blogspot.com/2011/10/what-are-our-main-purposes-for-use-of.html' title='What are our main purposes for the use of satellites ?'/><author><name>Unknown</name><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><thr:total>1</thr:total></entry><entry><id>tag:blogger.com,1999:blog-7239212013783179876.post-5366399972537271669</id><published>2011-10-09T21:38:00.001-07:00</published><updated>2011-10-09T21:38:37.717-07:00</updated><title type='text'>Waves and vibrations:</title><content type='html'>Speed of a wave= frequency x wavelenght of the wave&lt;br /&gt;
period =1/frequency&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Light waves and transverse waves and sound waves are longitudinal waves.&lt;br /&gt;
&lt;br /&gt;
If you still need any more information, please leave a cooment.</content><link rel='replies' type='application/atom+xml' href='http://astarphysics.blogspot.com/feeds/5366399972537271669/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://astarphysics.blogspot.com/2011/10/waves-and-vibrations.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/7239212013783179876/posts/default/5366399972537271669'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/7239212013783179876/posts/default/5366399972537271669'/><link rel='alternate' type='text/html' href='http://astarphysics.blogspot.com/2011/10/waves-and-vibrations.html' title='Waves and vibrations:'/><author><name>Unknown</name><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-7239212013783179876.post-1404174484819524855</id><published>2011-10-02T06:28:00.000-07:00</published><updated>2011-10-02T06:28:22.219-07:00</updated><title type='text'>A Level Physics :Vectors and thier addition with Force</title><content type='html'>The maximum value of a resultant force when two forces act on &amp;nbsp;a body = Force 1+ Force2&lt;br /&gt;
The minimum value of a resultant force when two forces act on a body= &amp;nbsp;Force1 - Force2&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;table align=&quot;center&quot; cellpadding=&quot;0&quot; cellspacing=&quot;0&quot; class=&quot;tr-caption-container&quot; style=&quot;margin-left: auto; margin-right: auto; text-align: center;&quot;&gt;&lt;tbody&gt;
&lt;tr&gt;&lt;td style=&quot;text-align: center;&quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi3clT04YRiwI1807aFNDmgmrMxfF0b3gKZF6WcDbgEmRDnAend3NhfAWM8G100_M3wbSbqWqszohyphenhyphen-mjKghWLLT8dlQ-DOPdILEmIazef-fkfTxItNke4kfx5reT6hvpf0STMZC8-6urDX/s1600/Untitled.png&quot; imageanchor=&quot;1&quot; style=&quot;margin-left: auto; margin-right: auto;&quot;&gt;&lt;img border=&quot;0&quot; height=&quot;236&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi3clT04YRiwI1807aFNDmgmrMxfF0b3gKZF6WcDbgEmRDnAend3NhfAWM8G100_M3wbSbqWqszohyphenhyphen-mjKghWLLT8dlQ-DOPdILEmIazef-fkfTxItNke4kfx5reT6hvpf0STMZC8-6urDX/s320/Untitled.png&quot; width=&quot;320&quot; /&gt;&lt;/a&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;tr-caption&quot; style=&quot;text-align: center;&quot;&gt;The resulatant force of two forces that act in many diverse direction.&lt;/td&gt;&lt;/tr&gt;
&lt;/tbody&gt;&lt;/table&gt;
&lt;br /&gt;</content><link rel='replies' type='application/atom+xml' href='http://astarphysics.blogspot.com/feeds/1404174484819524855/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://astarphysics.blogspot.com/2011/10/level-physics-vectors-and-thier.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/7239212013783179876/posts/default/1404174484819524855'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/7239212013783179876/posts/default/1404174484819524855'/><link rel='alternate' type='text/html' href='http://astarphysics.blogspot.com/2011/10/level-physics-vectors-and-thier.html' title='A Level Physics :Vectors and thier addition with Force'/><author><name>Unknown</name><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi3clT04YRiwI1807aFNDmgmrMxfF0b3gKZF6WcDbgEmRDnAend3NhfAWM8G100_M3wbSbqWqszohyphenhyphen-mjKghWLLT8dlQ-DOPdILEmIazef-fkfTxItNke4kfx5reT6hvpf0STMZC8-6urDX/s72-c/Untitled.png" height="72" width="72"/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-7239212013783179876.post-7949266175396404935</id><published>2011-10-02T05:51:00.000-07:00</published><updated>2012-04-15T06:33:15.216-07:00</updated><title type='text'>Pressure</title><content type='html'>The physical equation for pressure is
   
             Pressure = force/are   

Pressure is measured in Pascals.&lt;br /&gt;
&lt;br /&gt;
Below is a graphical explanation for pressure , please give me your views by commenting!
&lt;br /&gt;
&lt;br /&gt;
&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;
&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjtEfAAvSrbIoXNwrX4uEANmKzUwW6AjSV5YK_f4eaEwX9N0po3vXWE_bS2jWQv1dwt8eXbCOMkQhJRbMjYcZYl62zd6IRUV8UFo-hT12LRVFS5V3P5qzQm4hP5CyP0vSZwB-rcIhFmWfdT/s1600/IMG149.jpg&quot; imageanchor=&quot;1&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img border=&quot;0&quot; height=&quot;240&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjtEfAAvSrbIoXNwrX4uEANmKzUwW6AjSV5YK_f4eaEwX9N0po3vXWE_bS2jWQv1dwt8eXbCOMkQhJRbMjYcZYl62zd6IRUV8UFo-hT12LRVFS5V3P5qzQm4hP5CyP0vSZwB-rcIhFmWfdT/s320/IMG149.jpg&quot; width=&quot;320&quot; /&gt;&lt;/a&gt;&lt;/div&gt;
&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;
This picture was taken by me in karainagar with a digital camera and is protected by copyright.&lt;/div&gt;
&lt;br /&gt;
when the force on a constant area increases the pressure also increases&lt;br /&gt;
When the area on which a constant force is applied decreases the pressure increases.</content><link rel='replies' type='application/atom+xml' href='http://astarphysics.blogspot.com/feeds/7949266175396404935/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://astarphysics.blogspot.com/2011/10/pressure.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/7239212013783179876/posts/default/7949266175396404935'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/7239212013783179876/posts/default/7949266175396404935'/><link rel='alternate' type='text/html' href='http://astarphysics.blogspot.com/2011/10/pressure.html' title='Pressure'/><author><name>Unknown</name><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjtEfAAvSrbIoXNwrX4uEANmKzUwW6AjSV5YK_f4eaEwX9N0po3vXWE_bS2jWQv1dwt8eXbCOMkQhJRbMjYcZYl62zd6IRUV8UFo-hT12LRVFS5V3P5qzQm4hP5CyP0vSZwB-rcIhFmWfdT/s72-c/IMG149.jpg" height="72" width="72"/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-7239212013783179876.post-6821675461516995769</id><published>2011-09-30T07:23:00.000-07:00</published><updated>2011-09-30T07:48:21.475-07:00</updated><title type='text'>A Level Physics notes ans questions: Equation of continiuty</title><content type='html'>&lt;br /&gt;
The equation of continuity says that the rate of mass flow through a given tube at the entrance and at the exist is the same, if there is no other way for the fliud to get out from the pipe. Lets put things into a simpler form :&lt;br /&gt;
&lt;br /&gt;
A1 x V1= A1 x V1&lt;br /&gt;
&lt;br /&gt;
Lets prove this equation:&lt;br /&gt;
&lt;br /&gt;
Mass flow rate = mass flowing through the pipe in one second&lt;br /&gt;
&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp;= V x D /t (t=1 second)&lt;br /&gt;
&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp;= l x a x D &amp;nbsp;/t&lt;br /&gt;
&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp;= A x D x V ( l/t)&lt;br /&gt;
&amp;nbsp;Because the mass flow rate is constant from th equation of continiuty&lt;br /&gt;
A1 x V1 x D = &amp;nbsp;A2 x V2 x D&lt;br /&gt;
&lt;br /&gt;
&lt;table align=&quot;center&quot; cellpadding=&quot;0&quot; cellspacing=&quot;0&quot; class=&quot;tr-caption-container&quot; style=&quot;margin-left: auto; margin-right: auto; text-align: center;&quot;&gt;&lt;tbody&gt;
&lt;tr&gt;&lt;td style=&quot;text-align: center;&quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjlOSt0SM4LdGizdYwEuDbyeEZ-L_cPDyG9WMOqtsogfrjhHmW_p5ajz0T-Wn8JtIct6JaQDw3WQq5Tkz1hcZH8-L8l9Nm6YnklduHjzLbaStE2RFCobnpY9YhkWXpvvHcMOmQrUF8udS-C/s1600/continity.png&quot; imageanchor=&quot;1&quot; style=&quot;margin-left: auto; margin-right: auto;&quot;&gt;&lt;img border=&quot;0&quot; height=&quot;194&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjlOSt0SM4LdGizdYwEuDbyeEZ-L_cPDyG9WMOqtsogfrjhHmW_p5ajz0T-Wn8JtIct6JaQDw3WQq5Tkz1hcZH8-L8l9Nm6YnklduHjzLbaStE2RFCobnpY9YhkWXpvvHcMOmQrUF8udS-C/s320/continity.png&quot; width=&quot;320&quot; /&gt;&lt;/a&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;tr-caption&quot; style=&quot;text-align: center;&quot;&gt;Equation of continuity and Bornoulllis law A Level Physics Notes Questions Answers &amp;nbsp;and Explanation&lt;/td&gt;&lt;/tr&gt;
&lt;/tbody&gt;&lt;/table&gt;
&amp;nbsp;As Density D is the same on both sides ,it gets canceled out.&lt;br /&gt;
&lt;br /&gt;
So :,&lt;br /&gt;
A1 x V1 = A2 x V2&lt;br /&gt;
&lt;br /&gt;
You must be able &amp;nbsp;to prove this equation , and using this equation you will be able to solve many problems in your A Level Physics exam paper.&lt;br /&gt;
&lt;br /&gt;
For a set of questions and Answers onthis section of A Level Physics Please click here.&lt;br /&gt;
&lt;br /&gt;
</content><link rel='replies' type='application/atom+xml' href='http://astarphysics.blogspot.com/feeds/6821675461516995769/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://astarphysics.blogspot.com/2011/09/level-physics-notes-ans-questions.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/7239212013783179876/posts/default/6821675461516995769'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/7239212013783179876/posts/default/6821675461516995769'/><link rel='alternate' type='text/html' href='http://astarphysics.blogspot.com/2011/09/level-physics-notes-ans-questions.html' title='A Level Physics notes ans questions: Equation of continiuty'/><author><name>Unknown</name><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjlOSt0SM4LdGizdYwEuDbyeEZ-L_cPDyG9WMOqtsogfrjhHmW_p5ajz0T-Wn8JtIct6JaQDw3WQq5Tkz1hcZH8-L8l9Nm6YnklduHjzLbaStE2RFCobnpY9YhkWXpvvHcMOmQrUF8udS-C/s72-c/continity.png" height="72" width="72"/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-7239212013783179876.post-6694273606003626799</id><published>2011-09-29T07:28:00.001-07:00</published><updated>2011-09-29T07:28:24.471-07:00</updated><title type='text'>A Level Physics:Dynamics and Motion(formula and solved problems)</title><content type='html'>Dynamics Physics a level

Motion in a srtraight line.
Speed is different from velocity .Speed is the distance moved in a unit time , while velocity is the distance moved in a unit time in a particular direction.
We can assume that a car is moving in a stright line with a velocity of 5 m/s ,than it is evident that the car travels a distance of 5m in one second without any change in direction,

The equation which is used is:  velocity = distance moved /time taken (use this formula in exams and when doing problems)

Example: A motor bike  travels 1000 m in 6 minutes,find the speed of the motor bike? (dear students take note of the wording please the question asks for the speed of the bike as it doesnot say that the bike travelling in a specific direction.

If you have any further doubts about the specifications about the differenciations of speed and velocity and the problems involved in them please be kind enough either to email me at veeradinesh85@gmail.com or just leave a comment below.Any type of doubts are welcome even ifthey are not from this section.</content><link rel='replies' type='application/atom+xml' href='http://astarphysics.blogspot.com/feeds/6694273606003626799/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://astarphysics.blogspot.com/2011/09/level-physicsdynamics-and-motionfp.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/7239212013783179876/posts/default/6694273606003626799'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/7239212013783179876/posts/default/6694273606003626799'/><link rel='alternate' type='text/html' href='http://astarphysics.blogspot.com/2011/09/level-physicsdynamics-and-motionfp.html' title='A Level Physics:Dynamics and Motion(formula and solved problems)'/><author><name>Unknown</name><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-7239212013783179876.post-2949519105748540897</id><published>2011-09-29T07:26:00.000-07:00</published><updated>2011-09-29T07:26:20.495-07:00</updated><title type='text'>A Level Notes: Law of Floatation</title><content type='html'>The principle of floatation says that for a floating objects,the weight of the object equals the upthhrust exerted by a fluid on that object.&lt;br /&gt;
ie: When a body floats in a liqiud , it is in equilibrium and is acted upon by two forces only,its weigght and the upthrust.&lt;br /&gt;
&lt;br /&gt;
These two forces must be equal and opposite to satisfy the conditions of floatations,&lt;br /&gt;
&lt;br /&gt;
&amp;nbsp;Weight of object = upthrust&lt;br /&gt;
&lt;br /&gt;
But as we already know from Archimedes principle that U=Vx Dx g N..............................1&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
So hence, &amp;nbsp;Weight=VDg..........................2&lt;br /&gt;
&lt;br /&gt;
With these two equations you must be able to solve problems on the law of flatation,&lt;br /&gt;
&lt;br /&gt;
I wish you all the best in your exam.If you need any other notes or information in this topic or any other area of physics email me or simply put a comment.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;</content><link rel='replies' type='application/atom+xml' href='http://astarphysics.blogspot.com/feeds/2949519105748540897/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://astarphysics.blogspot.com/2011/09/level-notes-law-of-floatation.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/7239212013783179876/posts/default/2949519105748540897'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/7239212013783179876/posts/default/2949519105748540897'/><link rel='alternate' type='text/html' href='http://astarphysics.blogspot.com/2011/09/level-notes-law-of-floatation.html' title='A Level Notes: Law of Floatation'/><author><name>Unknown</name><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-7239212013783179876.post-5219763234002158170</id><published>2011-09-23T07:01:00.000-07:00</published><updated>2011-09-23T07:04:42.952-07:00</updated><title type='text'>Weights and Mass A Level Physics</title><content type='html'>The weight of an object is defined as the force acting on it due to the gravitational force .The weight of a object can be measured by attaching it to a spring balance and reading the scale.&lt;br /&gt;
&lt;br /&gt;
But mass is differen in the way that it is equal to the density of the object multiplied by the volume of the object.&lt;br /&gt;
Mass is universally constant meaning it doesnot change from one planet to the other just as weight changes.&lt;br /&gt;
&lt;br /&gt;
(a level revision,notes,syllabus,problems solved,help,tutorial)</content><link rel='replies' type='application/atom+xml' href='http://astarphysics.blogspot.com/feeds/5219763234002158170/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://astarphysics.blogspot.com/2011/09/weights-and-mass-level-physics.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/7239212013783179876/posts/default/5219763234002158170'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/7239212013783179876/posts/default/5219763234002158170'/><link rel='alternate' type='text/html' href='http://astarphysics.blogspot.com/2011/09/weights-and-mass-level-physics.html' title='Weights and Mass A Level Physics'/><author><name>Unknown</name><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-7239212013783179876.post-90332771924766402</id><published>2011-09-23T06:45:00.001-07:00</published><updated>2011-09-23T06:45:50.306-07:00</updated><title type='text'></title><content type='html'>&lt;br /&gt;
Hydrostatics.&lt;br /&gt;
This is the study of fliuds and their behaviors.&lt;br /&gt;
</content><link rel='replies' type='application/atom+xml' href='http://astarphysics.blogspot.com/feeds/90332771924766402/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://astarphysics.blogspot.com/2011/09/hydrostatics.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/7239212013783179876/posts/default/90332771924766402'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/7239212013783179876/posts/default/90332771924766402'/><link rel='alternate' type='text/html' href='http://astarphysics.blogspot.com/2011/09/hydrostatics.html' title=''/><author><name>Unknown</name><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-7239212013783179876.post-6353090778232689673</id><published>2011-09-06T04:27:00.000-07:00</published><updated>2011-09-06T04:27:21.919-07:00</updated><title type='text'>Circular motion Physics A Level</title><content type='html'>&lt;br /&gt;
&lt;div class=&quot;MsoNormal&quot;&gt;
&lt;u&gt;&lt;span style=&quot;color: #948a54; font-size: 48.0pt; line-height: 115%; mso-themecolor: background2; mso-themeshade: 128;&quot;&gt;Circular Motion&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/u&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot;&gt;
&lt;span style=&quot;background: yellow; font-size: 12.0pt; line-height: 115%; mso-highlight: yellow;&quot;&gt;What is exactly meant by circular motion ? It is
the physical motion of an object moving in a circular path about a center.
There are circular motion in many areas of our life, for example the hour and
minute hand of a clock displays circular motion, and also the planets and moons
in the solar system show circular motion.(Although planets move in elliptical
paths we consider them to be moving in circular paths for calculation
purposes.)&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot;&gt;
&lt;span style=&quot;background: yellow; font-size: 12.0pt; line-height: 115%; mso-highlight: yellow;&quot;&gt;First lets look at some important maths that are a
essential for understanding todays topic of circular motion.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot;&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;table align=&quot;left&quot; border=&quot;1&quot; cellpadding=&quot;0&quot; cellspacing=&quot;0&quot; class=&quot;MsoTableGrid&quot; style=&quot;border-bottom-style: none; border-collapse: collapse; border-color: initial; border-left-style: none; border-right-style: none; border-top-style: none; border-width: initial; margin-left: 6.75pt; margin-right: 6.75pt; width: 682px;&quot;&gt;
 &lt;tbody&gt;
&lt;tr style=&quot;height: 85.25pt; mso-yfti-firstrow: yes; mso-yfti-irow: 0; mso-yfti-lastrow: yes;&quot;&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; height: 85.25pt; mso-border-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 511.85pt;&quot; valign=&quot;top&quot; width=&quot;682&quot;&gt;
  &lt;div class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; mso-element-anchor-horizontal: margin; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 9.0pt; mso-element-top: 7.15pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly;&quot;&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; mso-element-anchor-horizontal: margin; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 9.0pt; mso-element-top: 7.15pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly;&quot;&gt;
&lt;span style=&quot;color: red; font-size: 12.0pt;&quot;&gt;180&lt;/span&gt;&lt;span style=&quot;font-size: 12.0pt;&quot;&gt; &lt;span style=&quot;color: red;&quot;&gt;degrees = &lt;/span&gt;&lt;/span&gt;&lt;span style=&quot;color: red; font-size: 12.0pt; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;&quot;&gt;π&lt;/span&gt;&lt;span style=&quot;color: red; font-size: 12.0pt;&quot;&gt; radians&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; mso-element-anchor-horizontal: margin; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 9.0pt; mso-element-top: 7.15pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly;&quot;&gt;
&lt;span style=&quot;color: red; font-size: 12.0pt;&quot;&gt;360 degrees =&lt;/span&gt;&lt;span style=&quot;color: red; font-size: 12.0pt; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;&quot;&gt; 2π radians&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; mso-element-anchor-horizontal: margin; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 9.0pt; mso-element-top: 7.15pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly;&quot;&gt;
&lt;span style=&quot;color: red; font-size: 12.0pt; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;&quot;&gt;90 degrees&lt;span&gt;&amp;nbsp;&amp;nbsp; &lt;/span&gt;= ½
  π radians&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; mso-element-anchor-horizontal: margin; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 9.0pt; mso-element-top: 7.15pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly;&quot;&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; mso-element-anchor-horizontal: margin; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 9.0pt; mso-element-top: 7.15pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; tab-stops: 168.0pt;&quot;&gt;
&lt;span style=&quot;color: red; font-size: 12.0pt; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;&quot;&gt;For very small angles :&lt;span&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;sin θ&lt;span&gt;&amp;nbsp;
  &lt;/span&gt;= θ radians&lt;span&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; mso-element-anchor-horizontal: margin; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 9.0pt; mso-element-top: 7.15pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; tab-stops: 168.0pt;&quot;&gt;
&lt;span style=&quot;color: red; font-size: 12.0pt; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;&quot;&gt;&lt;span&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
  &lt;/span&gt;tan θ=&lt;span&gt;&amp;nbsp; &lt;/span&gt;θ radians&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; mso-element-anchor-horizontal: margin; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 9.0pt; mso-element-top: 7.15pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; tab-stops: 168.0pt;&quot;&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;/td&gt;
 &lt;/tr&gt;
&lt;/tbody&gt;&lt;/table&gt;
&lt;div class=&quot;MsoNormal&quot;&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot;&gt;
&lt;span style=&quot;background: yellow; font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin; mso-highlight: yellow;&quot;&gt;* Ѡ (the angular velocity) is the angle
in radians through which the the object in circular motion has turned in one
second.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot;&gt;
&lt;span style=&quot;background: yellow; font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin; mso-highlight: yellow;&quot;&gt;*ἀ (the angular acceleration) is the
increase in the value of Ѡ (the angular velocity) per second.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot;&gt;
&lt;span style=&quot;background: yellow; font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin; mso-highlight: yellow;&quot;&gt;* r –denotes the radius of the circle
that we are dealing with.&lt;/span&gt;&lt;span style=&quot;font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot;&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot;&gt;
&lt;u&gt;&lt;span style=&quot;color: #4a442a; font-size: 22.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin; mso-themecolor: background2; mso-themeshade: 64;&quot;&gt;The types of circular motion:&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/u&gt;&lt;/div&gt;
&lt;div class=&quot;MsoListParagraphCxSpFirst&quot; style=&quot;mso-list: l2 level1 lfo1; tab-stops: 168.0pt 321.75pt; text-indent: -.25in;&quot;&gt;
&lt;!--[if !supportLists]--&gt;&lt;span style=&quot;color: #4a442a; font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin; mso-themecolor: background2; mso-themeshade: 64;&quot;&gt;&lt;span&gt;1.&lt;span style=&quot;font: 7.0pt &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;!--[endif]--&gt;&lt;span style=&quot;color: #4a442a; font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin; mso-themecolor: background2; mso-themeshade: 64;&quot;&gt;Horizontal circular motion&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;MsoListParagraphCxSpMiddle&quot; style=&quot;mso-list: l2 level1 lfo1; tab-stops: 168.0pt 321.75pt; text-indent: -.25in;&quot;&gt;
&lt;!--[if !supportLists]--&gt;&lt;span style=&quot;color: #4a442a; font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin; mso-themecolor: background2; mso-themeshade: 64;&quot;&gt;&lt;span&gt;2.&lt;span style=&quot;font: 7.0pt &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;!--[endif]--&gt;&lt;span style=&quot;color: #4a442a; font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin; mso-themecolor: background2; mso-themeshade: 64;&quot;&gt;Vertical circular motion&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;MsoListParagraphCxSpMiddle&quot;&gt;
&lt;u&gt;&lt;span style=&quot;color: #4a442a; font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin; mso-themecolor: background2; mso-themeshade: 64;&quot;&gt;
&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/u&gt;&lt;/div&gt;
&lt;div class=&quot;MsoListParagraphCxSpMiddle&quot; style=&quot;mso-list: l2 level1 lfo1; tab-stops: 168.0pt 321.75pt; text-indent: -.25in;&quot;&gt;
&lt;!--[if !supportLists]--&gt;&lt;span style=&quot;color: #4a442a; font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin; mso-themecolor: background2; mso-themeshade: 64;&quot;&gt;&lt;span&gt;3.&lt;span style=&quot;font: 7.0pt &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;!--[endif]--&gt;&lt;span style=&quot;color: #4a442a; font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin; mso-themecolor: background2; mso-themeshade: 64;&quot;&gt;Conic pendulum&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;MsoListParagraphCxSpMiddle&quot;&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div class=&quot;MsoListParagraphCxSpMiddle&quot;&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div class=&quot;MsoListParagraphCxSpMiddle&quot;&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div class=&quot;MsoListParagraphCxSpMiddle&quot;&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div class=&quot;MsoListParagraphCxSpLast&quot;&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot;&gt;
&lt;u&gt;&lt;span style=&quot;font-size: 22.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;&quot;&gt;Different
situation or means of circular motion:&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/u&gt;&lt;/div&gt;
&lt;div class=&quot;MsoListParagraphCxSpFirst&quot; style=&quot;mso-list: l0 level1 lfo2; tab-stops: 168.0pt; text-indent: -.25in;&quot;&gt;
&lt;!--[if !supportLists]--&gt;&lt;span style=&quot;font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;&quot;&gt;&lt;span&gt;1.&lt;span style=&quot;font: 7.0pt &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;!--[endif]--&gt;&lt;span style=&quot;font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;&quot;&gt;Revolving at a
constant speed around a circle.(eg: hands of a clock)&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;MsoListParagraphCxSpMiddle&quot; style=&quot;mso-list: l0 level1 lfo2; tab-stops: 168.0pt; text-indent: -.25in;&quot;&gt;
&lt;!--[if !supportLists]--&gt;&lt;span style=&quot;font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;&quot;&gt;&lt;span&gt;2.&lt;span style=&quot;font: 7.0pt &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;!--[endif]--&gt;&lt;span style=&quot;font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;&quot;&gt;Revolving with
variable speeds (that is with constant angular acceleration or constant angular
deceleration)&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;MsoListParagraphCxSpMiddle&quot;&gt;
&lt;span style=&quot;font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;&quot;&gt;*(eg : A car starts from rest and its wheels
show constant angular acceleration)&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;MsoListParagraphCxSpMiddle&quot;&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div class=&quot;MsoListParagraphCxSpMiddle&quot;&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div class=&quot;MsoListParagraphCxSpMiddle&quot; style=&quot;margin-left: .75in; mso-add-space: auto; mso-list: l1 level1 lfo3; tab-stops: 168.0pt; text-indent: -.25in;&quot;&gt;
&lt;!--[if !supportLists]--&gt;&lt;span style=&quot;font-size: 18.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;&quot;&gt;&lt;span&gt;1.&lt;span style=&quot;font: 7.0pt &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&amp;nbsp;&amp;nbsp; &lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;!--[endif]--&gt;&lt;u&gt;&lt;span style=&quot;font-size: 18.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;&quot;&gt;Constant speed circular motion:&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/u&gt;&lt;/div&gt;
&lt;div class=&quot;MsoListParagraphCxSpMiddle&quot; style=&quot;margin-left: .75in; mso-add-space: auto; tab-stops: 168.0pt;&quot;&gt;
&lt;span style=&quot;font-size: 18.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin; mso-no-proof: yes;&quot;&gt;&lt;v:shape id=&quot;Grafik_x0020_3&quot; o:gfxdata=&quot;UEsDBBQABgAIAAAAIQA0Ev94FAEAAFACAAATAAAAW0NvbnRlbnRfVHlwZXNdLnhtbKSSy07DMBBF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==
&quot; o:spid=&quot;_x0000_i1025&quot; style=&quot;height: 195.75pt; visibility: visible; width: 267pt;&quot; type=&quot;#_x0000_t75&quot;&gt;
 &lt;v:imagedata o:title=&quot;&quot; src=&quot;file:///C:\Users\VEERAD~1\AppData\Local\Temp\msohtmlclip1\01\clip_image002.png&quot;&gt;
&lt;/v:imagedata&gt;&lt;/v:shape&gt;&lt;/span&gt;&lt;span style=&quot;font-size: 18.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;MsoListParagraphCxSpMiddle&quot; style=&quot;margin-left: .75in; mso-add-space: auto; tab-stops: 168.0pt;&quot;&gt;
&lt;span style=&quot;font-size: 18.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;&quot;&gt;A particle P
revolves at a constant speed in a circular path. At time ( t=0), P is at P&lt;sub&gt;1&lt;/sub&gt;.
After a time t , P is there as shown in the diagram. Consider the radius of the
circular path to be r.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;MsoListParagraphCxSpMiddle&quot; style=&quot;margin-left: .75in; mso-add-space: auto; tab-stops: 168.0pt;&quot;&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div class=&quot;MsoListParagraphCxSpMiddle&quot; style=&quot;margin-left: .75in; mso-add-space: auto; tab-stops: 168.0pt;&quot;&gt;
&lt;span style=&quot;font-size: 18.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;&quot;&gt;S=r&lt;/span&gt;&lt;span style=&quot;color: red; font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-size: 14.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;&quot;&gt;θ&lt;span&gt;&amp;nbsp; &lt;/span&gt;(&lt;/span&gt;&lt;span style=&quot;color: red; font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;&quot;&gt;θ in radians&lt;/span&gt;&lt;span style=&quot;font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;&quot;&gt;)&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;MsoListParagraphCxSpMiddle&quot; style=&quot;margin-left: .75in; mso-add-space: auto; tab-stops: 168.0pt;&quot;&gt;
&lt;span style=&quot;font-size: 18.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;&quot;&gt;Velocity&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;MsoListParagraphCxSpMiddle&quot; style=&quot;margin-left: .75in; mso-add-space: auto; tab-stops: 168.0pt;&quot;&gt;
&lt;span style=&quot;font-size: 18.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;&quot;&gt;&lt;span&gt;&amp;nbsp;&lt;/span&gt;V=s/t&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;MsoListParagraphCxSpMiddle&quot; style=&quot;margin-left: .75in; mso-add-space: auto; tab-stops: 168.0pt;&quot;&gt;
&lt;span style=&quot;font-size: 18.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;&quot;&gt;V=r&lt;/span&gt;&lt;span style=&quot;color: red; font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-size: 14.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;&quot;&gt;θ/t&lt;span&gt;&amp;nbsp; &lt;/span&gt;(from equation 1)&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;MsoListParagraphCxSpMiddle&quot; style=&quot;margin-left: .75in; mso-add-space: auto; tab-stops: 168.0pt;&quot;&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div class=&quot;MsoListParagraphCxSpMiddle&quot; style=&quot;margin-left: .75in; mso-add-space: auto; tab-stops: 168.0pt;&quot;&gt;
&lt;span style=&quot;font-size: 14.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;&quot;&gt;θ&lt;/span&gt;&lt;span lang=&quot;DE&quot; style=&quot;font-size: 14.0pt; line-height: 115%; mso-ansi-language: DE; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;&quot;&gt;/t= &lt;/span&gt;&lt;span style=&quot;font-size: 14.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;&quot;&gt;Ѡ&lt;/span&gt;&lt;span lang=&quot;DE&quot; style=&quot;font-size: 14.0pt; line-height: 115%; mso-ansi-language: DE; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;&quot;&gt; (angular speed)&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;MsoListParagraphCxSpMiddle&quot; style=&quot;margin-left: .75in; mso-add-space: auto; tab-stops: 168.0pt;&quot;&gt;
&lt;span style=&quot;font-size: 14.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;&quot;&gt;Ѡ&lt;/span&gt;&lt;span lang=&quot;DE&quot; style=&quot;font-size: 14.0pt; line-height: 115%; mso-ansi-language: DE; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;&quot;&gt;= &lt;/span&gt;&lt;span style=&quot;font-size: 14.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;&quot;&gt;θ&lt;/span&gt;&lt;span lang=&quot;DE&quot; style=&quot;font-size: 14.0pt; line-height: 115%; mso-ansi-language: DE; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;&quot;&gt;/t&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;MsoListParagraphCxSpMiddle&quot; style=&quot;margin-left: .75in; mso-add-space: auto; tab-stops: 168.0pt;&quot;&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div class=&quot;MsoListParagraphCxSpMiddle&quot; style=&quot;margin-left: .75in; mso-add-space: auto; tab-stops: 168.0pt;&quot;&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div class=&quot;MsoListParagraphCxSpMiddle&quot; style=&quot;margin-left: .75in; mso-add-space: auto; tab-stops: 168.0pt;&quot;&gt;
&lt;span style=&quot;font-size: 14.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;&quot;&gt;(linear velocity)
&lt;span&gt;&amp;nbsp;&lt;/span&gt;V= r Ѡ ( angular velocity)&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;MsoListParagraphCxSpMiddle&quot; style=&quot;margin-left: .75in; mso-add-space: auto; tab-stops: 168.0pt;&quot;&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div class=&quot;MsoListParagraphCxSpMiddle&quot; style=&quot;margin-left: .75in; mso-add-space: auto; tab-stops: 168.0pt;&quot;&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div class=&quot;MsoListParagraphCxSpMiddle&quot; style=&quot;margin-left: .75in; mso-add-space: auto; tab-stops: 168.0pt;&quot;&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div class=&quot;MsoListParagraphCxSpMiddle&quot; style=&quot;margin-left: .75in; mso-add-space: auto; tab-stops: 168.0pt;&quot;&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div class=&quot;MsoListParagraphCxSpMiddle&quot; style=&quot;margin-left: .75in; mso-add-space: auto; tab-stops: 168.0pt;&quot;&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div class=&quot;MsoListParagraphCxSpMiddle&quot; style=&quot;margin-left: .75in; mso-add-space: auto; tab-stops: 168.0pt;&quot;&gt;
&lt;u&gt;&lt;span style=&quot;color: red; font-size: 14.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;&quot;&gt;Definition
of angular speed:&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/u&gt;&lt;/div&gt;
&lt;div class=&quot;MsoListParagraphCxSpMiddle&quot; style=&quot;margin-left: .75in; mso-add-space: auto; tab-stops: 168.0pt;&quot;&gt;
&lt;span style=&quot;font-size: 14.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;&quot;&gt;The rate of
change in angle is the angular speed.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;MsoListParagraphCxSpMiddle&quot; style=&quot;margin-left: .75in; mso-add-space: auto; tab-stops: 168.0pt;&quot;&gt;
&lt;span style=&quot;font-size: 14.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;&quot;&gt;The unit of
angular speed is rad/s.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;MsoListParagraphCxSpMiddle&quot; style=&quot;margin-left: .75in; mso-add-space: auto; tab-stops: 168.0pt;&quot;&gt;
&lt;span style=&quot;font-size: 14.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;&quot;&gt;The Dimension of
angular speed is T&lt;sup&gt;-1&lt;/sup&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;MsoListParagraphCxSpMiddle&quot; style=&quot;margin-left: .75in; mso-add-space: auto; tab-stops: 168.0pt;&quot;&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div class=&quot;MsoListParagraphCxSpMiddle&quot; style=&quot;margin-left: .75in; mso-add-space: auto; tab-stops: 168.0pt;&quot;&gt;
&lt;span style=&quot;font-size: 14.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;&quot;&gt;Angular speed is
a scalar quantity because it has only a magnitude.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;MsoListParagraphCxSpMiddle&quot; style=&quot;margin-left: .75in; mso-add-space: auto; tab-stops: 168.0pt;&quot;&gt;
&lt;span style=&quot;font-size: 14.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;&quot;&gt;Angular velocity
id a vector quantity ,because it has both direction and magnitude.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;MsoListParagraphCxSpMiddle&quot; style=&quot;margin-left: .75in; mso-add-space: auto; tab-stops: 168.0pt;&quot;&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div class=&quot;MsoListParagraphCxSpMiddle&quot; style=&quot;margin-left: .75in; mso-add-space: auto; tab-stops: 168.0pt;&quot;&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div class=&quot;MsoListParagraphCxSpMiddle&quot; style=&quot;margin-left: .75in; mso-add-space: auto; tab-stops: 168.0pt;&quot;&gt;
&lt;b&gt;&lt;u&gt;&lt;span style=&quot;color: #c00000; font-size: 14.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin; mso-effects-shadow-align: none; mso-effects-shadow-alpha: 65.0%; mso-effects-shadow-angledirection: 5400000; mso-effects-shadow-anglekx: 0; mso-effects-shadow-angleky: 0; mso-effects-shadow-color: black; mso-effects-shadow-dpidistance: 3.4pt; mso-effects-shadow-dpiradius: 5.5pt; mso-effects-shadow-pctsx: 0%; mso-effects-shadow-pctsy: 0%; mso-style-textfill-fill-gradientfill-shade-linearshade-angle: 5400000; mso-style-textfill-fill-gradientfill-shade-linearshade-fscaled: no; mso-style-textfill-fill-gradientfill-shadetype: linear; mso-style-textfill-fill-gradientfill-stoplist: &amp;quot;0 \#A54200 9 100000 shade=20000 satm=200000\,78000 \#FF8C19 9 100000 tint=90000 shade=89000 satm=220000\,100000 \#FFF1E9 9 100000 tint=12000 satm=255000&amp;quot;; mso-style-textfill-type: gradient; mso-style-textoutline-outlinestyle-align: center; mso-style-textoutline-outlinestyle-compound: simple; mso-style-textoutline-outlinestyle-dash: solid; mso-style-textoutline-outlinestyle-dpiwidth: .075pt; mso-style-textoutline-outlinestyle-join: round; mso-style-textoutline-outlinestyle-linecap: flat; mso-style-textoutline-outlinestyle-pctmiterlimit: 0%; mso-style-textoutline-type: none;&quot;&gt;Rotation with a
constant speed:&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/u&gt;&lt;/b&gt;&lt;/div&gt;
&lt;div class=&quot;MsoListParagraphCxSpMiddle&quot; style=&quot;margin-left: .75in; mso-add-space: auto; tab-stops: 168.0pt;&quot;&gt;
&lt;b&gt;&lt;span style=&quot;font-size: 14.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin; mso-effects-shadow-align: none; mso-effects-shadow-alpha: 65.0%; mso-effects-shadow-angledirection: 5400000; mso-effects-shadow-anglekx: 0; mso-effects-shadow-angleky: 0; mso-effects-shadow-color: black; mso-effects-shadow-dpidistance: 3.4pt; mso-effects-shadow-dpiradius: 5.5pt; mso-effects-shadow-pctsx: 0%; mso-effects-shadow-pctsy: 0%; mso-style-textoutline-outlinestyle-align: center; mso-style-textoutline-outlinestyle-compound: simple; mso-style-textoutline-outlinestyle-dash: solid; mso-style-textoutline-outlinestyle-dpiwidth: .075pt; mso-style-textoutline-outlinestyle-join: round; mso-style-textoutline-outlinestyle-linecap: flat; mso-style-textoutline-outlinestyle-pctmiterlimit: 0%; mso-style-textoutline-type: none;&quot;&gt;If a body is rotating with a constant speed
then tangential acceleration is equal to zero.But still there an acceleration
on the body toward the center. THIS IS CALLED &lt;span style=&quot;color: red;&quot;&gt;CENTRIPETAL&lt;span&gt;&amp;nbsp; &lt;/span&gt;ACCELERATION!&lt;/span&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/div&gt;
&lt;div class=&quot;MsoListParagraphCxSpLast&quot; style=&quot;margin-left: .75in; mso-add-space: auto; tab-stops: 168.0pt;&quot;&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot;&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot;&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot;&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot;&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div align=&quot;center&quot; class=&quot;MsoNormal&quot; style=&quot;text-align: center;&quot;&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div align=&quot;center&quot; class=&quot;MsoNormal&quot; style=&quot;text-align: center;&quot;&gt;
&lt;br /&gt;&lt;/div&gt;
</content><link rel='replies' type='application/atom+xml' href='http://astarphysics.blogspot.com/feeds/6353090778232689673/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://astarphysics.blogspot.com/2011/09/circular-motion-physics-level.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/7239212013783179876/posts/default/6353090778232689673'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/7239212013783179876/posts/default/6353090778232689673'/><link rel='alternate' type='text/html' href='http://astarphysics.blogspot.com/2011/09/circular-motion-physics-level.html' title='Circular motion Physics A Level'/><author><name>Unknown</name><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-7239212013783179876.post-4570951434843509927</id><published>2011-09-05T09:42:00.000-07:00</published><updated>2011-09-05T09:42:03.085-07:00</updated><title type='text'>Errors and their types:</title><content type='html'>&lt;br /&gt;
Errors can be grouped into two groups :&lt;br /&gt;
1 systematic error&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;nbsp;systematic: e.g. constant error (in all readings)&lt;br /&gt;
&amp;nbsp; &amp;nbsp; cannot be eliminated by averaging&lt;br /&gt;
&amp;nbsp; &amp;nbsp; error in measuring instrument B1&lt;br /&gt;
&amp;nbsp;&lt;br /&gt;
2.random errors &lt;br /&gt;
random: e.g. readings scattered (equally) about true value&lt;br /&gt;
&amp;nbsp; &amp;nbsp; error due to observer&lt;br /&gt;
&amp;nbsp; &amp;nbsp; can be eliminated by averaging&lt;br /&gt;
&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; (only if averaging not included for systematic&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
It is very to know these by heart as you will be given a direct question about errors in your physics AS exam.&lt;br /&gt;
</content><link rel='replies' type='application/atom+xml' href='http://astarphysics.blogspot.com/feeds/4570951434843509927/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://astarphysics.blogspot.com/2011/09/errors-and-their-types.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/7239212013783179876/posts/default/4570951434843509927'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/7239212013783179876/posts/default/4570951434843509927'/><link rel='alternate' type='text/html' href='http://astarphysics.blogspot.com/2011/09/errors-and-their-types.html' title='Errors and their types:'/><author><name>Unknown</name><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-7239212013783179876.post-2348146223595146316</id><published>2011-09-05T09:41:00.001-07:00</published><updated>2011-09-05T09:42:03.090-07:00</updated><title type='text'></title><content type='html'></content><link rel='replies' type='application/atom+xml' href='http://astarphysics.blogspot.com/feeds/2348146223595146316/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://astarphysics.blogspot.com/2011/09/blog-post.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/7239212013783179876/posts/default/2348146223595146316'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/7239212013783179876/posts/default/2348146223595146316'/><link rel='alternate' type='text/html' href='http://astarphysics.blogspot.com/2011/09/blog-post.html' title=''/><author><name>Unknown</name><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-7239212013783179876.post-741755473833154674</id><published>2011-09-04T03:08:00.000-07:00</published><updated>2011-09-23T02:56:17.161-07:00</updated><title type='text'>Projectile motion A level Physics</title><content type='html'>&lt;br /&gt;
&lt;span class=&quot;Apple-style-span&quot; style=&quot;background-color: white; font-family: tahoma, verdana, arial, helvetica, sans-serif; font-size: 12px; line-height: 18px;&quot;&gt;Projectile motion is a special case of two dimensional motion with constant acceleration. Here, force due to gravity moderates linear motion of an object thrown at certain angle to the vertical direction. The resulting acceleration is a constant, which is always directed in vertically downward direction.&lt;/span&gt;&lt;br /&gt;
&lt;span class=&quot;Apple-style-span&quot; style=&quot;background-color: white; font-family: tahoma, verdana, arial, helvetica, sans-serif; font-size: 12px; line-height: 18px;&quot;&gt;&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp;read the rest at&amp;nbsp;&lt;a href=&quot;http://cnx.org/content/m13837/latest/&quot;&gt;http://cnx.org/content/m13837/latest/&lt;/a&gt;&lt;/span&gt;&lt;br /&gt;
Problems on Projectile motion can either start from the botom with an object thrown at a angle witha speed.or it can startfrom a height like a cliff with the object either thrown upward or horrizontally with an initial speed.Which ever the problem is about the following formulas can be used to tackle the questions..&lt;br /&gt;
&lt;br /&gt;
Remember these formulas for doing problems on projectile motion:&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The maximum Height that the particle has travelled = &lt;u&gt;u2sin2o(theta)&lt;/u&gt;&lt;br /&gt;
&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp;2g&lt;br /&gt;
&amp;nbsp;The time taken for the particle to &amp;nbsp;reach the ground again &amp;nbsp; =&lt;u&gt; 2u sino&lt;/u&gt;&lt;br /&gt;
&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp;g&lt;br /&gt;
Range &amp;nbsp; &amp;nbsp; =&lt;u&gt; u2sin2o&lt;/u&gt;&lt;br /&gt;
&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; g</content><link rel='replies' type='application/atom+xml' href='http://astarphysics.blogspot.com/feeds/741755473833154674/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://astarphysics.blogspot.com/2011/09/projectile-motion-level-physics.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/7239212013783179876/posts/default/741755473833154674'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/7239212013783179876/posts/default/741755473833154674'/><link rel='alternate' type='text/html' href='http://astarphysics.blogspot.com/2011/09/projectile-motion-level-physics.html' title='Projectile motion A level Physics'/><author><name>Unknown</name><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-7239212013783179876.post-2844655746187076439</id><published>2011-09-03T00:43:00.000-07:00</published><updated>2011-09-03T00:43:15.049-07:00</updated><title type='text'>Todays question:  about Deriving a SI unit</title><content type='html'>&lt;br /&gt;
&amp;nbsp;Expresse &amp;nbsp;the volt in terms of SI base units?&lt;br /&gt;
&lt;br /&gt;
Ok lets get started:&lt;br /&gt;
We know that P=VxI&lt;br /&gt;
&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp;Fx d=VxI&lt;br /&gt;
&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp;F is &amp;nbsp;kgm/s2 &amp;nbsp;d is in m &amp;nbsp;and I is in A&lt;br /&gt;
So V= kgm2s-2A-1&lt;br /&gt;
&lt;br /&gt;
If you need anymore help in deriving the SI units of other quantities just leave a comment and I shall reply.&lt;br /&gt;
</content><link rel='replies' type='application/atom+xml' href='http://astarphysics.blogspot.com/feeds/2844655746187076439/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://astarphysics.blogspot.com/2011/09/todays-question-about-deriving-si-unit.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/7239212013783179876/posts/default/2844655746187076439'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/7239212013783179876/posts/default/2844655746187076439'/><link rel='alternate' type='text/html' href='http://astarphysics.blogspot.com/2011/09/todays-question-about-deriving-si-unit.html' title='Todays question:  about Deriving a SI unit'/><author><name>Unknown</name><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-7239212013783179876.post-4876891458908804359</id><published>2011-09-01T09:46:00.001-07:00</published><updated>2011-09-01T09:47:02.139-07:00</updated><title type='text'>Lets do a physics question (a level)</title><content type='html'>&lt;span class=&quot;Apple-style-span&quot; style=&quot;background-color: white; color: #222222; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; font-size: 12px; line-height: 16px;&quot;&gt;&lt;/span&gt;&lt;br /&gt;
&lt;h3 class=&quot;post-title entry-title&quot; style=&quot;font: normal normal normal 22px/normal Arial, Tahoma, Helvetica, FreeSans, sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0.75em; position: relative;&quot;&gt;
&lt;a href=&quot;http://astarphysics.blogspot.com/2011/09/lets-do-physics-question-level.html&quot; style=&quot;color: #2288bb; text-decoration: none;&quot;&gt;Lets do a physics question (a level)&lt;/a&gt;&lt;/h3&gt;
&lt;div class=&quot;post-header&quot; style=&quot;font-size: 11px; line-height: 1.6; margin-bottom: 1.5em; margin-left: 0px; margin-right: 0px; margin-top: 0px;&quot;&gt;
&lt;div class=&quot;post-header-line-1&quot;&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;div class=&quot;post-body entry-content&quot; id=&quot;post-body-6533892060306687991&quot; style=&quot;font-size: 13px; line-height: 1.4; position: relative; width: 570px;&quot;&gt;
&lt;br /&gt;welcome back&lt;br /&gt;&lt;br /&gt;The question is as follows&lt;br /&gt;&lt;br /&gt;Q:A laser emits light of wavelength 600 nm&lt;br /&gt;. What is the distance, expressed as a number of wavelengths, travelled by the light in one second?&lt;br /&gt;&lt;br /&gt;&amp;nbsp;We know that&lt;br /&gt;&lt;br /&gt;&amp;nbsp;1 nm=10&lt;sup&gt;-9&lt;/sup&gt;m&lt;br /&gt;&amp;nbsp;therefore: &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; 600nm =6 x 10&lt;sup&gt;-7&lt;/sup&gt;m&lt;br /&gt;&lt;br /&gt;&amp;nbsp;we also know that the speed of light is= 3 x 10&amp;nbsp;&lt;sup&gt;8&lt;/sup&gt;m/s&lt;br /&gt;&amp;nbsp;so v= f x L&lt;br /&gt;&lt;br /&gt;&amp;nbsp;note that the question asks for the frequency&lt;br /&gt;&lt;br /&gt;so: f= 3 x 10&lt;sup&gt;8&lt;/sup&gt;/6 x 10&lt;sup&gt;-7&lt;/sup&gt;&amp;nbsp;Hz&lt;br /&gt;&amp;nbsp;the answer is f= 5 x 10&lt;sup&gt;14&lt;/sup&gt;&amp;nbsp;Hz&lt;/div&gt;
</content><link rel='replies' type='application/atom+xml' href='http://astarphysics.blogspot.com/feeds/4876891458908804359/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://astarphysics.blogspot.com/2011/09/lets-do-physics-question-level_01.html#comment-form' title='1 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/7239212013783179876/posts/default/4876891458908804359'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/7239212013783179876/posts/default/4876891458908804359'/><link rel='alternate' type='text/html' href='http://astarphysics.blogspot.com/2011/09/lets-do-physics-question-level_01.html' title='Lets do a physics question (a level)'/><author><name>Unknown</name><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><thr:total>1</thr:total></entry><entry><id>tag:blogger.com,1999:blog-7239212013783179876.post-8207243356506574509</id><published>2011-08-31T21:12:00.001-07:00</published><updated>2011-08-31T21:14:46.810-07:00</updated><title type='text'>The important formulas and values that you must know for exams and to solve problems:</title><content type='html'>  Please take note of the following because they will  be useful in your exams:

Click on the images to see them clearly!
 &lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;
&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhuEuZo7lpPUBcseooq_AhXDDf_HVIKOR5iumSPMml1OoCyngQf4KwrDeuxD31d-2vHG1-afieK7Qo71yQVZlLrZpIqcfml31OERVCu5ArdEFS9rfpdaFMGZZpwv4Sn_AnLUlKBaVI5xbf0/s1600/d1.PNG&quot; imageanchor=&quot;1&quot; style=&quot;margin-left:1em; margin-right:1em&quot;&gt;&lt;img border=&quot;0&quot; height=&quot;320&quot; width=&quot;316&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhuEuZo7lpPUBcseooq_AhXDDf_HVIKOR5iumSPMml1OoCyngQf4KwrDeuxD31d-2vHG1-afieK7Qo71yQVZlLrZpIqcfml31OERVCu5ArdEFS9rfpdaFMGZZpwv4Sn_AnLUlKBaVI5xbf0/s320/d1.PNG&quot; /&gt;&lt;/a&gt;&lt;/div&gt;

&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;
&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEitm_3xF12YByUHqSJJFWLl9gtysX6sMoefmaVM24PnUhHO2PakK4IHug5OQa08u8anmmbQKJ8PJqH0SgRQMB-rpuocO0q4Ez5qM2jMhvWHQq-7t6cYFbZUUglrXSDQYgaZ1kkzochMmDvY/s1600/d2.PNG&quot; imageanchor=&quot;1&quot; style=&quot;margin-left:1em; margin-right:1em&quot;&gt;&lt;img border=&quot;0&quot; height=&quot;320&quot; width=&quot;297&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEitm_3xF12YByUHqSJJFWLl9gtysX6sMoefmaVM24PnUhHO2PakK4IHug5OQa08u8anmmbQKJ8PJqH0SgRQMB-rpuocO0q4Ez5qM2jMhvWHQq-7t6cYFbZUUglrXSDQYgaZ1kkzochMmDvY/s320/d2.PNG&quot; /&gt;&lt;/a&gt;&lt;/div&gt;

</content><link rel='replies' type='application/atom+xml' href='http://astarphysics.blogspot.com/feeds/8207243356506574509/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://astarphysics.blogspot.com/2011/08/important-formulas-and-values-that-you.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/7239212013783179876/posts/default/8207243356506574509'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/7239212013783179876/posts/default/8207243356506574509'/><link rel='alternate' type='text/html' href='http://astarphysics.blogspot.com/2011/08/important-formulas-and-values-that-you.html' title='The important formulas and values that you must know for exams and to solve problems:'/><author><name>Unknown</name><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhuEuZo7lpPUBcseooq_AhXDDf_HVIKOR5iumSPMml1OoCyngQf4KwrDeuxD31d-2vHG1-afieK7Qo71yQVZlLrZpIqcfml31OERVCu5ArdEFS9rfpdaFMGZZpwv4Sn_AnLUlKBaVI5xbf0/s72-c/d1.PNG" height="72" width="72"/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-7239212013783179876.post-2799415177342709916</id><published>2011-08-31T08:00:00.001-07:00</published><updated>2011-08-31T08:00:56.520-07:00</updated><title type='text'>Problem on circular motion - solved</title><content type='html'>&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
the question:&lt;br /&gt;
&lt;br /&gt;
An object of mass 4 kg moves round a circle of radius 6 m with a constant speed of 12 m/s.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Read the question first :&lt;br /&gt;
&lt;br /&gt;
Calculate &lt;br /&gt;
1.the angular velocity&lt;br /&gt;
Answer:  angular velocity= speed/readius&lt;br /&gt;
                         = 12/6&lt;br /&gt;
                         = 2 rad/s&lt;br /&gt;
ok this is done with the formula : angular velocity= speed/readius&lt;br /&gt;
the next question is&lt;br /&gt;
2.the force towards the center      (using a=v2/r)&lt;br /&gt;
&lt;br /&gt;
Answer: force = m a &lt;br /&gt;
                             = mx v2/r     ok &lt;br /&gt;
                            = 4x 122/6&lt;br /&gt;
                            =96N&lt;br /&gt;
</content><link rel='replies' type='application/atom+xml' href='http://astarphysics.blogspot.com/feeds/2799415177342709916/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://astarphysics.blogspot.com/2011/08/problem-on-circular-motion-solved.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/7239212013783179876/posts/default/2799415177342709916'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/7239212013783179876/posts/default/2799415177342709916'/><link rel='alternate' type='text/html' href='http://astarphysics.blogspot.com/2011/08/problem-on-circular-motion-solved.html' title='Problem on circular motion - solved'/><author><name>Unknown</name><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-7239212013783179876.post-8643358922779999226</id><published>2011-08-31T06:12:00.001-07:00</published><updated>2011-08-31T06:12:02.375-07:00</updated><title type='text'>Rotational motion Physics A Level</title><content type='html'>&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhr76mZXq-xXgWXis-nBwUNWHx06L4N_tr0gzJ5OsbrMvcYRwJMG5bjsTaox0ott_BI9ca65msaPRQGWoNPQdrqgEQN7sxkqFfxy0QlGpZVRi1M9R5kQL6_PELtal9mZM5O0-5bJsKGPwTh/s1600/torq.PNG&quot; imageanchor=&quot;1&quot; style=&quot;clear:right; float:right; margin-left:1em; margin-bottom:1em&quot;&gt;&lt;img border=&quot;0&quot; height=&quot;244&quot; width=&quot;320&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhr76mZXq-xXgWXis-nBwUNWHx06L4N_tr0gzJ5OsbrMvcYRwJMG5bjsTaox0ott_BI9ca65msaPRQGWoNPQdrqgEQN7sxkqFfxy0QlGpZVRi1M9R5kQL6_PELtal9mZM5O0-5bJsKGPwTh/s320/torq.PNG&quot; /&gt;&lt;/a&gt;&lt;/div&gt;&lt;br /&gt;
Todays topic is rotational motion .&lt;br /&gt;
&lt;br /&gt;
Many students take this chapter to be a difficult one, but in fact it is a very easy one :the only thing we will have to do is to compare rotational motion with linear motion and then do the questions based on the formulas we are going to derive:&lt;br /&gt;
&lt;br /&gt;
Torque is considered as the force here and  alpha that is angular acceleation is considered to be acceleration.&lt;br /&gt;
&lt;br /&gt;
Torque is considered as the force here and  alpha that is angular acceleation is considered to be acceleration&lt;br /&gt;
&lt;br /&gt;
Torque= force x radius of circle&lt;br /&gt;
&lt;br /&gt;
</content><link rel='replies' type='application/atom+xml' href='http://astarphysics.blogspot.com/feeds/8643358922779999226/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://astarphysics.blogspot.com/2011/08/rotational-motion-physics-level_31.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/7239212013783179876/posts/default/8643358922779999226'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/7239212013783179876/posts/default/8643358922779999226'/><link rel='alternate' type='text/html' href='http://astarphysics.blogspot.com/2011/08/rotational-motion-physics-level_31.html' title='Rotational motion Physics A Level'/><author><name>Unknown</name><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhr76mZXq-xXgWXis-nBwUNWHx06L4N_tr0gzJ5OsbrMvcYRwJMG5bjsTaox0ott_BI9ca65msaPRQGWoNPQdrqgEQN7sxkqFfxy0QlGpZVRi1M9R5kQL6_PELtal9mZM5O0-5bJsKGPwTh/s72-c/torq.PNG" height="72" width="72"/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-7239212013783179876.post-2743835027237951187</id><published>2011-08-31T06:09:00.000-07:00</published><updated>2011-08-31T06:09:49.947-07:00</updated><title type='text'>Rotational motion Physics A Level</title><content type='html'>Todays topic is rotational motion .&lt;br /&gt;
&lt;br /&gt;
Many students take this chapter to be a difficult one, but in fact it is a very easy one :the only thing we will have to do is to compare rotational motion with linear motion and then do the questions based on the formulas we are going to derive:&lt;br /&gt;
&lt;br /&gt;
Torque is considered as the force here and  alpha that is angular acceleation is considered to be acceleration.&lt;br /&gt;
&lt;br /&gt;
Torque is considered as the force here and  alpha that is angular acceleation is considered to be acceleration&lt;br /&gt;
&lt;br /&gt;
Torque= force x radius of circle&lt;br /&gt;
&lt;br /&gt;
</content><link rel='replies' type='application/atom+xml' href='http://astarphysics.blogspot.com/feeds/2743835027237951187/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://astarphysics.blogspot.com/2011/08/rotational-motion-physics-level.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/7239212013783179876/posts/default/2743835027237951187'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/7239212013783179876/posts/default/2743835027237951187'/><link rel='alternate' type='text/html' href='http://astarphysics.blogspot.com/2011/08/rotational-motion-physics-level.html' title='Rotational motion Physics A Level'/><author><name>Unknown</name><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><thr:total>0</thr:total></entry></feed>