Question

Two cars of masses `m_(1)` and `m_(2)` are moving in circles of raddii `r_(1)` and `r_(2)` respectively. Their speeds are such that they make complete circle in the same time t The ratio of their centripetal acceleration is .

Answer 1

As their time period of revolution is same, angular speed is also same centripetal acceleration is
`a =omega^(2) r,`
`(a_(1))/(a_(2)) = (omega^(2)r_(1))/(omega^(2)r_(2)) =(r_(1))/(r_(2))` .