# 2nd Equation of Motion for Rotation - Final Angle

## Description

In mathematical physics, equations of motion are equations that describe the behaviour of a physical system in terms of its motion as a function of time.This equation applies to a particle moving linearly, in three dimensions in a straight line, with constant acceleration.Since the vectors are collinear (parallel, and lie on the same line) – only the magnitudes of the vectors are necessary and because the motion is along a straight line, the problem effectively reduces from three dimensions to one.

Related formulas## Variables

θ | final angle(angular displacement) (rad) |

θ_{0} | initial angle (rad) |

ω_{0} | initial angular velocity (rad/s) |

t | time taken to rotate from the initial state to the final state (s) |

a | constant angular acceleration (rad/s^{2}) |