What Is the Angular Acceleration Formula?

While there are several formulas for angular acceleration, the basic equation is the change in angular velocity divided by the change in time. This relationship is shown in the following equation: (Av2 - Av1)/(T2 - T1).

When working with calculus-based physics, angular acceleration may be found by taking the first derivative of angular velocity or the second derivative of angular displacement. In cases where there is a body undergoing constant torque, the angular acceleration can be found by dividing that torque by the body's mass moment of inertia. Angular acceleration is typically measured in radians per second squared (rad/s^2) and often requires a conversion from revolutions per minute.