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 Author Topic: Ejs Open Source Uniform Circular Motion Derivation of a = v^2/r  (Read 8039 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
8 added r from R
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
13 added angle d theta
 *** There are 2 more attached files. You need to login to acces it! « Last Edit: June 29, 2010, 11:09:31 pm by lookang » Logged
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
12 July published by portages version (Brazil) by Ahmed
Uniform Circular you can check.

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