Acceleration of a simple harmonic motion

Description

A simple harmonic motion is a type of periodic motion where the restoring force is directly proportional to the displacement. The motion is sinusoidal in time and demonstrates a single resonant frequency. The acceleration can be calculated as a function of time, using the amplitude (maximum displacement from the equilibrium position), the angular frequency, and the phase of the harmonic motion.

Related formulas

Variables

atAcceleration of the simple harmonic motion (m/s2)
AAmplitude (maximum displacement from the equilibrium position) (m)
πpi
fFrequency of the harmonic motion (sec-1)
ωAngular velocity (radians/sec)
tTime (sec)
ϕPhase (radians)