Angular Acceleration

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.

Angular Acceleration Formula

(Eq. 1)  \(\large{ \alpha = \frac { d \omega } { d t }   }\)                              

(Eq. 2)  \(\large{ \alpha = \frac { a_t } { r }   }\)             

(Eq. 3)  \(\large{ \alpha = \frac { \tau } { I }   }\)         

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