What is the relationship in Amplitude and wave speed

v (t) = Aω sin (ωt - Ф)

v (t) - wave speed

A - amplitude

Explanation:

The amplitude is the mean distance from the equilibrium position.

The wave speed is the speed of propagation of the wave. It depends only on frequency and wavelength and independent of the distance of vibration from the mean position.

Hence, the amplitude of the wave is independent of the speed of propagation of the wave.

The velocity of the simple harmonic motion is given by

v (t) = Aω sin (ωt - Ф)

Where,

v (t) is the velocity, it is represented as the function of time.

A is the amplitude of the wave that is constant with respect to the time, and therefore amplitude is independent of wave velocity.