# Acceleration of a simple harmonic motion (related to the displacement)

## 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 of the harmonic motion can be expressed as a function of displacement.

Related formulas## Variables

a_{t} | Acceleration of the simple harmonic motion (m/s^{2}) |

π | pi |

f | Frequency of the harmonic motion (sec^{-1}) |

x | Displacement (m) |