Wave Representations JavaScript HTML5 Applet Simulation Model
 Details
 Parent Category: 04 Waves
 Category: 02 General Waves
 Created: Thursday, 20 August 2015 15:00
 Last Updated: Monday, 01 October 2018 16:57
 Published: Sunday, 03 July 2016 15:00
 Hits: 9090
About
Topics
Progressive wavesTransverse and
Determination of frequency and wavelength
Stationary waves
Description
In this Wave representations simulation, you have two representations of wave motion to work with. The left one shows a movie of the wave traveling along a string  you can think of this representation as a sequence of photographs. The second right representation is a plot of the displacement as a function of time for two points on the string (you can select which two points to use). Using only these two representations, you can determine the values of many different parameters that describe the wave by changing the slider values or input fields. Hints have also been designed in for ease of visualizing the meaning of these parameters.
Play with the Wave Representations Model. Test what you've learned by exploring the amplitudes, wavelengths, periods, angular frequency, frequencies, wave velocities, maximum transverse velocity (linking to simple harmonic motion) and phase difference.
Sample Learning Goals
(a) show an understanding and use the terms displacement, amplitude, phase difference, period,frequency, wavelength and speed
(b) deduce, from the definitions of speed, frequency and wavelength, the equation v = fλ
(c) recall and use the equation v = fλ
(f) analyse and interpret graphical representations of transverse
(c) SHM: understand and use the terms amplitude, period, frequency, angular frequency and phase difference and express the period in terms of both frequency and angular frequency
Activities
Reset the simulation to get a new random wave you are happy with.Amplitude, A and wavelength, λ can be determined using the left graph of displacement versus position.
Then, play the simulation until you have a nice position versus time graph. Period, T and angular frequency, ω and frequency, f and phase difference between x1 and x2, φ using the relationship φ/(2π) = t/T, where t is the time difference between x1 and x2, can be determined using the right graph of displacement of x1 and x2 versus time.
Using both graphs, it is possible to determine wave velocity v = f λ, maximum transverse speed of a single point on the string, vmax= A ω. You can check your answers as many times as you want. The amplitude. The wavelength. The period. The angular frequency. The wave speed. The maximum transverse speed of a single point on the string.
Version:
 http://weelookang.blogspot.sg/2015/08/ejsswaverepresentationmodel.html
 http://weelookang.blogspot.sg/2011/04/ejsopensourcewaverepresentations.html
 http://iwant2study.org/lookangejss/04waves_12generalwaves/ejs/ejs_model_Wave_representations_v5.jar

http://weelookang.blogspot.sg/2015/08/ejsswaverepresentationmodel.html
Wave representations
In this simulation, you have two representations of wave motion to work with. One shows a movie of the wave traveling along a string  you can think of this representation as a sequence of photographs. The second representation is a plot of the displacement as a function of time for two points on the string (you can select which two points to use). Using only these two representations, you can determine the values of many different parameters that describe the wave.
For more info : http://weelookang.blogspot.sg/2011/04/ejsopensourcewaverepresentations.html
Activities
Keep pressing the "Get a new wave" button until you have a wave you are happy with. Then, play the simulation until you have a nice position versus time graph. Then, pause the simulation so that you have a photograph of the string as well as your position vs. time graph to work with. For each parameter below, figure out which of the two representations you need to determine the value of the parameter, and then find the value. You can check your answers as many times as you want.
 The amplitude.
 The wavelength.
 The period.
 The angular frequency.
 The wave speed.
 The maximum transverse speed of a single point on the string.
Translations
Code  Language  Translator  Run  

Software Requirements
Android  iOS  Windows  MacOS  
with best with  Chrome  Chrome  Chrome  Chrome 
support fullscreen?  Yes. Chrome/Opera No. Firefox/ Samsung Internet  Not yet  Yes  Yes 
cannot work on  some mobile browser that don't understand JavaScript such as.....  cannot work on Internet Explorer 9 and below 
Credits
Andrew Duffy; lookang; tina
end faq
Apps
Description
Introduction
Wave is an oscillation accompanied by a transfer of energy that travels through medium (space or mass)
Waves consist, instead, of oscillations or vibrations (of a physical quantity), around almost fixed locations
This simulation is on transverse wave where disturbance creates oscillations that are perpendicular to the propagation of energy transfer.
The equation for wave is A sin ( wt +kx + ϕ)
where
A is the maximum amplitude of the wave, maximum distance from the highest point of the disturbance in the medium (the crest) to the equilibrium point during one wave cycle.
w is is the angular frequency
t is time
k is is the wavenumber
x is the position
ϕ is the is the phase constant
concepts illustrated in the simulations include
T is the time for one complete cycle of an oscillation of a wave
f is the number of periods per unit time (per second) and is related by T = 1/f
λ is the wavelength
v is the velocity of the wave travelling and is related by v= f λ
vtmax is the maximum transverse velocity of the wave particle that occurs at the displacement d =0.
Examples
EJSS wave representation model
Equation used to model the wave is \( y = A sin ( \omega t  k x ) \)
Amplitude A
amplitude of wave = 0.18 m, maximum displacement from equilibrium position https://iwant2study.org/ospsgx/index.php/112 Direct Link 
amplitude of wave = 0.20 m, maximum displacement from equilibrium position author: Andrew Duffy, lookang, tina author EJS: Francisco Esquembre 
wavelength λ
wavelength of wave = 1.70 m The wavelength λ wavelength is the distance between two sequential crests or troughs (or other equivalent points) 
wavelength of wave = 0.50 m The wavelength λ wavelength is the distance between two sequential crests or troughs (or other equivalent points) author: Andrew Duffy, lookang, tina author EJS: Francisco Esquembre 
Period T
period of wave = 3.00 s, The period T is the time for one complete cycle of an oscillation of a wave https://iwant2study.org/ospsgx/index.php/112 Direct Link 
period of wave = 3.00 s, The period T is the time for one complete cycle of an oscillation of a wave author: Andrew Duffy, lookang, tina author EJS: Francisco Esquembre 
angular frequency f
The frequency f = 1/T is the number of periods per unit time (per second) and is typically measured in hertz https://iwant2study.org/ospsgx/index.php/112 Direct Link 
The frequency f = 1/T is the number of periods per unit time (per second) and is typically measured in hertz author: Andrew Duffy, lookang, tina author EJS: Francisco Esquembre 
angular velocity of wave ω
angular frequencyω = 2.09 s, The angular frequencyω represents the frequency in radians per second. https://iwant2study.org/ospsgx/index.php/112 Direct Link 
angular frequencyω = 2.09 s, The angular frequencyω represents the frequency in radians per second. author: Andrew Duffy, lookang, tina author EJS: Francisco Esquembre 
phase difference ϕ
the phase of a vibration (that is, its position within the vibration cycle) ϕ measured in radians taking ratio "ϕ/(2π)= Δt/T", ϕ = 2π(2.50.75)/3 =3.7 rad approximately 
wave speed v
sinusoidal waveform traveling at constant speed v is given by v = f λ https://iwant2study.org/ospsgx/index.php/112 Direct Link 
sinusoidal waveform traveling at constant speed v is given by v = f λ author: Andrew Duffy, lookang, tina author EJS: Francisco Esquembre 
maximum transverse speed vmax
The maximum transverse velocity is vmax = Aω and it occurs when the particle on the wave travels passes through the equilibrium position https://iwant2study.org/ospsgx/index.php/112 Direct Link 
The maximum transverse velocity is vmax = Aω and it occurs when the particle on the wave travels passes through the equilibrium position author: Andrew Duffy, lookang, tina author EJS: Francisco Esquembre 
reference:
http://weelookang.blogspot.sg/2011/04/ejsopensourcewaverepresentations.html
Video
Versions
 http://weelookang.blogspot.sg/2015/08/ejsswaverepresentationmodel.html Blog post of JavaScript version of Wave Representations by Andrew Duffy and Loo Kang Wee
 http://weelookang.blogspot.sg/2011/04/ejsopensourcewaverepresentations.html Blog post of Java version of Wave Representations by Andrew Duffy and Loo Kang Wee
 http://iwant2study.org/lookangejss/04waves_12generalwaves/ejs/ejs_model_Wave_representations_v5.jar Java version of Wave Representations by Andrew Duffy and Loo Kang Wee
Other Resources
 http://physics.bu.edu/~duffy/HTML5/wave_movie_and_graph.htmlby Andrew Duffy
 http://www.phy.ntnu.edu.tw/ntnujava/index.php?topic=2405.0 One dimensional moving wave y(x,t)=A sin(k*xw*t) by FuKwun Hwang