The document defines angular velocity as the rate of change of the angle swept out by a point moving along a circular path with respect to time. It shows that the linear or tangential velocity of the point is equal to the product of its angular velocity and radius. The period of motion is defined as the time taken for one complete revolution, which is calculated by dividing 2π by the angular velocity. An example calculates the angular velocity and tangential velocity of a satellite in circular orbit.