Angular acceleration

Angular acceleration is the rate of change of angular velocity with time. It is represented as a vector in three dimensions or a signed scalar in planar motion.

Angular velocity: Angular velocity measures the rate and direction of rotation, represented by a vector or signed scalar. Angular acceleration is the time derivative of this rotational rate.
Angular displacement: Angular displacement measures the change in orientation about an axis, commonly expressed in radians. Differentiating angular displacement once gives angular velocity; differentiating twice gives angular acceleration.
Rotational dynamics: Rotational dynamics relates torques to the rotational motion of bodies. It uses angular acceleration to quantify the rotational response to net torque.
Angular jerk: Angular jerk is the rate of change of angular acceleration with time. It describes variation in angular acceleration, one derivative beyond the quantity defined here.
Rotational kinematics: Rotational kinematics describes angular position, velocity, and acceleration without requiring the forces that cause motion. Its equations connect angular acceleration with changes in angle and angular velocity.
Radian: A radian is the angle subtended at a circle's center by an arc equal in length to its radius. Using radians makes angular and tangential acceleration relate directly through the radius.
Simple harmonic motion: Simple harmonic motion is periodic motion in which restoring acceleration is proportional and opposite to displacement. A torsional oscillator's changing angular acceleration follows the same restoring pattern.
Angular speed: Angular speed is the magnitude of angular velocity, without its direction or sign. Angular speed describes rotational rate; angular acceleration describes how angular velocity changes.
Torque: Torque measures the tendency of a force to change an object's rotational motion about an axis. Net torque produces angular acceleration according to rotational dynamics.
Time derivative: A time derivative measures how a quantity changes as time changes. Angular acceleration is defined by taking the time derivative of angular velocity.

Linked from 7 pages