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

Options

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

Answer

b

Explanation

Angular velocity of particle P about point A.
`ometa_(A)=v/(r_(AB))=v/(2r)`
Angular velocity of particle P about point C,

`omega_(C)=v/(r_(BC))=v/r`
Ratio `(omega_(A))/(omega_(C))=(v//2r)/(v//r)=1/2`.