Progressive waves
Transverse and longitudinal waves
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 and longitudinal
waves
(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:
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http://weelookang.blogspot.sg/2015/08/ejss-wave-representation-model.html
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http://weelookang.blogspot.sg/2011/04/ejs-open-source-wave-representations.html
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http://iwant2study.org/lookangejss/04waves_12generalwaves/ejs/ejs_model_Wave_representations_v5.jar
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