Angular Velocity is a physical quantity that characterizes the rate of change of the angular displacement of a rotating rigid body per unit of time.
$${\omega} = \frac{\varphi}{t}$$
where,
\(\omega\)— angular velocity (rad/s);
\(\varphi\)— angular displacement (rad);
t— time (s).
Angular velocity through angular frequency:
$$\omega = 2\pi f$$
where,
\(\omega\)— angular velocity (rad/s);
f— angular frequency (Hz).
Angular velocity is the rate at which an object changes its angular position in rotational motion.
Angular velocity is usually measured in radians per second.
Angular velocity equals two pi times the frequency of rotation.