A child having a mass of 37 kg sits 0.2 m from the center of a merry-go-round that is rotating with a period of 36 s. What is the centripetal force acting on the child?

Question

What is the centripetal force in Newtons?

Answer 1

circumference = 2 pi r
= 2 pi(.2)

speed = v = distance/time
= 2 pi (.2)/36

Ac = v^2/r

F = m Ac = 37 v^2/r

Answer 2

Oh my, I just noticed the Bob Pursley answered an almost identical question for you.
note w^2 r = v^2/r
and READ THE CHAPTER in your text on centripetal acceleration !