 Angular acceleration

Angular acceleration is the time derivative of angular velocity, $\mathbf{\alpha }=d\mathbf{\omega }/dt$. For rotation about a fixed axis, its signed scalar component obeys $\tau =I\alpha$ when the axial moment of inertia is constant and $\tau$ is the total applied torque about that axis.

Angular acceleration refers to the rate at which the angular velocity of an object changes with time. It is a vector quantity, meaning it has both a magnitude and a direction. Angular acceleration is usually denoted by the Greek letter alpha (α).