# Velocity 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 velocity 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

v_{t} | Velocity of the simple harmonic motion (m/s) |

A | Amplitude (maximum displacement from the equilibrium position) (m) |

π | pi |

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

ω | Angular velocity (radians/sec) |

t | Time (sec) |

ϕ | Phase (radians) |