 Angular displacement

The signed accumulated rotation about a specified fixed axis. Unlike an angle specified only modulo $2\pi$, angular displacement counts complete revolutions as well as the final orientation. Its derivative with respect to time is angular velocity. The displayed formula therefore follows from the fundamental theorem of calculus.

Angular displacement is a vector quantity that represents the angle through which an object or point has rotated about a specified axis in a given time period. It is typically measured in radians, degrees, or revolutions.