# Average Angular Acceleration

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.

## Formulas that use Average Angular Acceleration

\(\large{ \bar {\alpha} = \frac { \Delta \omega } { \Delta t } }\) | |

\(\large{ \bar {\alpha} = \frac { \omega_f \;-\; \omega_i } { t_f \;-\; t_i } }\) |

### Where:

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

\(\large{ t_f }\) = final time

\(\large{ t_i }\) = initial time

\(\large{ \Delta t }\) = time differential

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

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

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