# Average Angular Acceleration

Written by Jerry Ratzlaff on . Posted in Classical Mechanics

Average angular acceleration, abbrevated as $$\bar {\alpha}$$ (Greek symbol alpha), of an object is the average rate at which the angle velocity changes with respect to time.

### Average Angular Acceleration Formula

$$\large{ \bar {\alpha} = \frac { \Delta \omega } { \Delta t } }$$

$$\large{ \bar {\alpha} = \frac { \omega_f \;-\; \omega_i } { t_f \;-\; t_i } }$$

Where:

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

$$\large{ \Delta \omega }$$  (Greek symbol omega) = change in angular velocity

$$\large{ \omega_f }$$  (Greek symbol omega) = final angular velocity

$$\large{ t_f }$$ = final time

$$\large{ \omega_i }$$  (Greek symbol omega) = initial angular velocity

$$\large{ t_i }$$ = initial time

$$\large{ \Delta t }$$ = time differential