Question

A particle moves in a circle with constant angular velocity w about a point p on its circumference . The angular velocity of the particle about the centre c of the circle is

Answer 1

Explanation:

The angular velocity about P is ω

Angle swept about P in time t θ=ωt

Now, from properties of the circle, we know that angle subtended by an arc at the centre is double of the angle subtended anywhere on the circumference.

Hence angle subtended at O in time t is 2θ

Hence angular velocity=ω

o

=

t

2θ

=2ω