# Given a numerical equation of a traveling wave, obtain speed, wavelength, amplitude

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The general form of the equation y(x,t) of a traveling wave is:

(1) y= ym sin (k x - w t) in which w is the angular frequency.

A certain wave is expressed by: (2) y= 0.15 cos (40 x - 20 t) with distances in meters and times in seconds.

a. Obtain the wave speed, wavelength, amplitude, period, and frequency of this wave.

b. Find y when t= 0.21 sec, at x = 0.32 m.

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##### Solution Summary

The solution provides the workings together with explanations in solving the problems. A numerical equation is given for the traveling wave, obtained speed and wavelength are provided.

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a.

From comparing (2) to (1), we can read ym= 0.15 m, k= 40 rad/m, and w= 20 rad/sec.

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