Angular velocity is a measure of the rate at which an object rotates about an axis. It is defined as the change in the angle that an object makes with respect to a fixed point in space per unit time. The units of angular velocity are radians per second (rad/s).
Angular velocity is a vector quantity and is directed along the axis of rotation. Its magnitude is equal to the rate of change of the angle, and its direction is perpendicular to the plane of rotation. The direction of the angular velocity vector is given by the right-hand rule, which states that if the thumb of the right hand points in the direction of the axis of rotation, the fingers of the hand curl in the direction of the angular velocity vector.
Angular velocity is an important concept in physics, as it is related to linear velocity and can be used to determine the motion of objects in rotational motion. It is also used to describe the rotation of celestial bodies, such as planets, moons, and stars, and can be used to calculate the period of rotation and the angular momentum of rotating objects.
In general, angular velocity is a fundamental concept in classical mechanics and is an essential part of the study of rotational dynamics and the motion of rotating objects.