Question

express angular velocity in terms of angular displacement

Answer 1

Answer:

As the object rotates through the angular displacement phi, the point on the edge of the disk moves distance sa along a circular path. ... In general, the length of the circular path s is equal to the radius r times the angular displacement phi, expressed in radians.

Angular displacement is a vector quantity and it the angle subtended by any point of the rotating body with its axis. In S.I. its unit is radian. Angular velocity is the rate of change of angular displacement and it is also a vector quantity.