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.
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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