In one hour, hour hand moves by 1 hour distance on clock while minute hand moves by 12 hour distance marked on clock. thus
ω1
ω2
=
2π
1
×
12
2π
⇒
ω1
ω2
=
12
1
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 =
s
r
(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 =