Question

A particle P is moving in a circle of radius r with uniform speed v. C is the centre of the circle and AB in diameter. The angular velocity of P about A and C is in the ratio

• A. 4 : 1
• B. 2 : 1
• C. 1 : 2
• D. 1 : 1

Answer 1

The correct option is C 1 : 2

Let the angular velocity of a particle about center $C=w_c$

and at point$A$ on the circumference of circle$=w_a$

We know that angular velocity about the center of circle $=2$ time

about angular velocity about any point on the circumference

$\therefore w_c=w_a$

or,$\frac{w_a}{w_c}=\frac{1}{2}$

hence option $C$ is the correct answer.