Question

A particle moves in a circle with constant angular velocity $\omega$ about a point P on its circumference. The angular velocity of the particle about the centre C of the circle is?

• A. $2\omega$
• B. $\frac{2}{\omega }$
• C. $\omega$
• D. Not constant

Answer 1

The correct option is A $2\omega$

The angular velocity about P is $\omega$

Angle swept about P in time t $\theta =\omega t$

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 $2\theta$

Hence angular velocity$={\omega }_o=\frac{2\theta }{t}=2\omega$

Answer-(A)