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 Author Topic: Ejs Open Source Uniform Circular Motion Derivation of a = v^2/r  (Read 8361 times) 0 Members and 1 Guest are viewing this topic. Click to toggle author information(expand message area).
lookang
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 « Embed this message on: June 27, 2010, 12:29:27 am »

Ejs Open Source Uniform Circular Motion Derivation of a = v^2/r

reference: http://www.phy.ntnu.edu.tw/ntnujava/index.php?topic=717.0

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lookang
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 « Embed this message Reply #1 on: June 27, 2010, 12:30:49 am »

1 added help text in the codes
2 re do all objects in new Ejs 4.2.7 for future deployment
3 added text new objects to be ARIAL 30 and pixel size true for subscript to appear
4 studied the original codes from FKH
5 added style 1 the original representation of vi + delta v = vf
6 going to customize to style 2 of vf - vi = delta v , which is the sg syllabus
7 made the representation of the vector diagram draggable away from the centre fo the circle motion
10 trace follow xs and ys
11 added clockwise and anticlockwise icon from wikipedia
12 added more display slider of the values of the simulation for sense making
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lookang
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 « Embed this message Reply #2 on: June 29, 2010, 10:53:41 pm » posted from:Singapore,,Singapore

A typical answer to derive this is

Consider a particle in uniform circular motion with constant speed, v, and radius, r.
In a short time interval dt , the particle moves from A to B.
Distance traveled in time dt = v.dt

by definition of arc length
arc length A B   = r d$\theta$

therefore,  v.dt  =  r d$\theta$
(v.dt)/r  =  d$\theta$

by definition of change,
in vector form  dv = vf - vi
 « Last Edit: June 29, 2010, 11:08:28 pm by lookang » Logged
lookang
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 « Embed this message Reply #3 on: July 12, 2010, 12:40:00 pm » posted from:Singapore,,Singapore

09 July 2010 Computer Lab hands on learning session on Ejs Open Source Uniform Circular Motion Derivation of a = v^2/r actual classroom with teacher Byran highlighting the concept of delta v = vf - vi is always pointed towards the center of the circular motion.
http://sgeducation.blogspot.com/2010/07/lesson-on-circular-motion-with-acjc.html
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ahmedelshfie
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 « Embed this message Reply #4 on: July 13, 2010, 07:46:33 pm » posted from:SAO PAULO,SAO PAULO,BRAZIL

Ejs Open Source Uniform Circular Motion Derivation of a = v^2/r