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Wave motion and equation of waves.

A plane progressive harmonic wave is represented by the equation (see attached) where is the displacement in meters, t is the time in seconds and x is distance from a fixed origin in meters.

Determine the following wave properties, and where appropriate give units:

a) The amplitude
b) The direction of wave travel
c) The wavelength
d) The speed of the wave
e) The wave frequency
f) The maximum speed of wave oscillations at a particular point
g) The equation of a wave of twice the amplitude and twice the frequency traveling at the same speed but in the opposite direction


Solution Summary

The solution contains calculations for wave equations, amplitudes, frequency, wavelength, speed of wave etc.