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Author Topic: Ejs Open Source Uniform Circular Motion Derivation of a = v^2/r  (Read 7738 times)
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lookang
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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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« Last Edit: June 29, 2010, 10:43:54 pm by lookang » Logged
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Reply #1 on: June 27, 2010, 12:30:49 am »

changes made:

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
9 added rs
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


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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
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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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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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