UPSEE Solved Model Paper 8

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 =

θ

t

.