Wave parameters
1) A transverse traveling wave on a cord is represented by D = 0.48 sin (5.6x +84t) where D and x are in meters and t in seconds. For this wave determine (a) the wavelength (b) the frequency (c) velocity (magnitude and direction) (d) amplitude and (e) maximum and minimum speeds of particles of the cord.
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Solution Preview
The wave equation is given by
D = A sin (kx +w t)
Where
A= amplitude = 0.48 m ( in this example)
k = wave number = 2 pi / lambda = 5.6 ( in this example)
w = 2 pi f = 84 ( in this example)
(a) the wavelength lambda
k = 2 pi / lambda = 5.6
therefore lambda = ...
Solution Summary
The solution calculates (a) the wavelength (b) the frequency (c) velocity (magnitude and direction) (d) amplitude and (e) maximum and minimum speeds of particles of the cord
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