In one hour, hour hand moves by 1 hour distance on clock while minute hand moves by 12 hour distance marked on clock.
thus
=
× ⇒
=
KEY CONCEPTS Angular displacement
Let's say, a body is moving in circular direction as shown in fig
For θ angle and he radius of curved path is r. The linear displacement is related to the angular displacement as : s = rθ
θ =
(i)
Where r = radius of the curvature
θ = angular displacement
The equation (i) is the angular displacement equation
Angular velocity
The angular velocity is the measure of how fast a body is changing its angle wrt a point the angular velocity is measured in radians per second. The angular velocity is represented by ω and hence ω =
.