Question

Derive formula for power of wave.​

Answer 1

Answer:

For a sinusoidal mechanical wave, the time-averaged power is therefore the energy associated with a wavelength divided by the period of the wave. The wavelength of the wave divided by the period is equal to the velocity of the wave, Pave=EλT=12μA2ω2λT=12μA2ω2v.

Answer 2

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The equations for the energy of the wave and the time-averaged power were derived for a sinusoidal wave on a string. In general, the energy of a mechanical wave and the power are proportional to the amplitude squared and to the angular frequency squared (and therefore the frequency squared).

I=P4πr2.