Angular Acceleration

Angular acceleration ( \(\alpha\) (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