A body of mass 10 mg revolves in a circle of diameter 0.40m . making 100 revolutions per minute . Calculate its linear velocity and centripetal acceleration.

Explanation

Given : `m = 10 kg , r = 0 . 20 m , v = (1000)/(60) s^(-1)`
Angular speed
`omega = 2 pi r = 2 pi xx (1000)/(60)`
`= (100pi)/(3) rad s^(-1)`
Linear velocity ,
`v = r omega^(2) = 0 . 20 xx (100pi)/(3)`
`= (20 pi)/(3) ms^(-1)`
Centripetal acceleration, ` a = r omega^(2) = 0 . 20 xx ((100pi)/(3))^(2)`
`= (2000pi^(2))/(9) ms^(-1)`