Angular acceleration is the rate of change of angular velocity with respect to time. It is a measure of how quickly an object's rotational speed is changing.
Angular acceleration can be calculated by dividing the change in angular velocity by the change in time. In mathematical terms, it is represented as α = Δω/Δt, where α is the angular acceleration, Δω is the change in angular velocity, and Δt is the change in time.
The unit of angular acceleration is radians per second squared (rad/s²) in the SI system. In other systems, it can be expressed as revolutions per second squared (rev/s²) or degrees per second squared (deg/s²).
Angular acceleration and linear acceleration are related through the radius of the object's rotation. The linear acceleration of an object is equal to the product of its angular acceleration and the distance from the center of rotation to the object (radius).
Angular acceleration can be affected by various factors such as the mass and distribution of the object, the force applied to the object, and the object's moment of inertia (a measure of its resistance to rotational motion). Friction and air resistance can also affect angular acceleration.