A body of mass 0.1kg is moving on circular path of diameter 1m at the rate of 10 revolution per 31.4sec, then then centripetal force acting on body is

A) 0.2N B) 0.4N
C)2N D) 4N

1 answer

first get velocity tangent to circle v

it goes pi D meters in 3.14 seconds

v = pi D/3.14 = pi * 1/ 3.14 = 1 m/s

centripetal acceleration = Ac =v^2/R =1*1/.5
= 2 m/s^2

F = m Ac = .1 * 2 = .2 Newtons