# Angular Acceleration

Written by Jerry Ratzlaff on . Posted in Classical Mechanics

Angular acceleration, abbreviated as $$\alpha$$ (Greek symbol alpha), also called rotational acceleration, of an object is the rate at which the angle velocity changes with respect to time.

## Formulas that use Angular Acceleration

 $$\large{ \alpha = \frac { d \omega } { d t } }$$ $$\large{ \alpha = \frac { a_t } { r } }$$ $$\large{ \alpha = \frac { \tau } { I } }$$

### Where:

$$\large{ \alpha }$$  (Greek symbol alpha) = angular acceleration

$$\large{ d \omega }$$  (Greek symbol omega) = angular velocity differential

$$\large{ a_t }$$ = lineat tangential path

$$\large{ I }$$ = mass moment of inertia or angular mass

$$\large{ r }$$ = radius of circular path

$$\large{ dt }$$ = time differential

$$\large{ \tau }$$  (Greek symbol tau) = torque