Definition : rate of change of angular velocity over time.

SI Unit : radians per second squared (rad/s²)

Direction : perpendicular to the plane in which the rotation takes place.

Symbol : alpha (α)

Equation : ${\alpha} = \frac{d{\omega}}{dt} = \frac{d^2{\theta}}{dt^2}$

Constant acceleration :

For all constant values of the torque,

τ

, of an object, the angular acceleration will also be constant. For this special case of constant angular acceleration, the above equation will produce a definitive, constant value for the angular acceleration:

${\alpha} = \frac{\tau}{I}.$

]Non-constant acceleration :

For any non-constant torque, the angular acceleration of an object will change with time. The equation becomes a differential equation instead of a constant value.

LINEAR ANGULAR