Question

Two point A and B Lie on two extremes of a diameter AB as shown in figure. The sphere rotates with constant angular velocity $\omega$ about an axis as shown. What is the angular velocity of Q with respect to P?

• A. $\frac{\omega }{2}$
• B. $\frac{\omega }{4}$
• C. 2 $\omega$
• D. $\omega$

Answer 1

The correct option is D

$\omega$

If a body rotates with constant angular velocity implies that the body rotates equal angle about any line considered through the body. Therefore the angular velocity of the whole body will be '$\omega$' about any point on the body. That is why it is the angular velocity of the body as a whole.