# Instantaneous Angular Acceleration

Written by Jerry Ratzlaff on . Posted in Classical Mechanics

Instantaneous angular acceleration, abbreviated as $$\alpha_i$$ (Greek symbol alpha), is the rate an object rotates in a circular path at a particular moment in time.

### Instantaneous Angular Acceleration Formula

$$\large{ \alpha_i = \frac { d \omega} {d t } }$$

Where:

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

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

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