# Constant Angular Acceleration

Written by Jerry Ratzlaff on . Posted in Classical Mechanics

Constant angular acceleration, abbreviated as $$\omega$$ (Greek symbol omega), of an object is the constant rate at which the angular velocity changes with respect to time. This equation calculates the final angular velocity with respect to a constant angular acceleration over a given amount of time.

## Constant Angular Acceleration formula

 $$\large{ \omega_f = \omega_i + \alpha \; t }$$

### Where:

 Units English Metric $$\large{ \omega_f }$$  (Greek symbol omega) = final angular velocity $$\large{\frac{deg}{sec}}$$ $$\large{\frac{rad}{s}}$$ $$\large{ \alpha }$$  (Greek symbol alpha) = angular acceleration $$\large{\frac{deg}{sec^2}}$$ $$\large{\frac{rad}{s^2}}$$ $$\large{ \omega_i }$$  (Greek symbol omega) = initial angular velocity $$\large{\frac{deg}{sec}}$$ $$\large{\frac{rad}{s}}$$ $$\large{ t }$$ = time $$\large{sec}$$ $$\large{s}$$