Frequency & phase relationship by equation?



Answer:
D=V/pi*f. This is for sinusoidal motion.
Where D=displacement; V=velocity and f=frequency.
Since the motion is sinusoidal, the displacement, velocity, and acceleration are changing sinusoidally. However, they are not in phase. The phase relationship between displacement, velocity, and acceleration is that such that velocity is 90° out of phase with acceleration and displacement is 180° out of phase with acceleration. In other words, when displacement is at a maximum, velocity is at a minimum, and acceleration is at a maximum.

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