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Easy Java Simulations (2001- ) => Collaborative Community of EJS => Topic started by: lookang on June 27, 2010, 12:29:27 am



Title: Ejs Open Source Uniform Circular Motion Derivation of a = v^2/r
Post by: lookang 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


Title: Re: Ejs Open Source Uniform Circular Motion Derivation of a = v^2/r
Post by: lookang 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


Title: Re: Ejs Open Source Uniform Circular Motion Derivation of a = v^2/r
Post by: lookang on June 29, 2010, 10:53:41 pm
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


Title: Re: Ejs Open Source Uniform Circular Motion Derivation of a = v^2/r
Post by: lookang on July 12, 2010, 12:40:00 pm
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


Title: Re: Ejs Open Source Uniform Circular Motion Derivation of a = v^2/r
Post by: ahmedelshfie on July 13, 2010, 07:46:33 pm
Ejs Open Source Uniform Circular Motion Derivation of a = v^2/r
12 July published by portages version (Brazil) by Ahmed
Uniform Circular (http://www.noas.com.br/disciplina/fisica/72-movimento-circular-e-uniforme.html) you can check.