Final answer:
The equation for the power spectrum of a sine wave is P = HA²0² v. The power is proportional to the square of the amplitude of the wave and the square of the angular frequency. This equation applies to various types of waves.
Step-by-step explanation:
The equation for the power spectrum of a sine wave is P = HA²0² v.
This equation shows that the power is proportional to the square of the amplitude of the wave and to the square of the angular frequency of the wave. In other words, if either the amplitude or the frequency of the wave is doubled, the power will increase by a factor of four.
This equation is derived for a sinusoidal wave on a string, but it can also be applied to other types of waves as long as they have a sinusoidal shape.