For questions related to angular acceleration. The angular acceleration is the time rate of change of the angular velocity and is usually designated by $α$ and expressed in radians per second squared.
In circular motion, angular acceleration is the rate with which the angular velocity changes with time. It is also referred to as rotational acceleration. It is a vector quantity, that is, it has both magnitude and direction.
Angular acceleration is denoted by $α$.
If $θ$ is the angular displacement, $ω$ is the angular velocity and $α$, the angular acceleration, then; $$α=\frac{dω}{dt}=\frac{d^2θ}{dt^2} \ (\text{as}; ω = \frac{dθ}{dt})$$
The above formula gives the instantaneous angular acceleration.
If $Δω$ is the change in angular velocity over a time interval $Δt$, then average angular acceleration is given by:
$α=\frac{Δω}{Δt}$
In the case of uniform rotation, the average and instantaneous values coincide.
It is expressed in the units of rad/$s^2$ or radians per second squared.
