Question

A particle P is moving in a circle of radius $R$ with a uniform speed $v$. C is the centre of the circle and AB is the diameter. The angular velocity of the particle when it is at point B about A and about C are in the ratio of

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

Answer 1

The correct option is B $1:2$

Angular velocity, $\omega =\frac{v}{R}$
Angular speed of particle about point A, ${\omega }_A=\frac{v}{2R}$
Angular speed about point C, ${\omega }_C=\frac{v}{R}$
Hence, $\frac{{\omega }_A}{{\omega }_C}=\frac{1}{2}$