A 18.0 kg child is riding a playground merry-go- round that is rotating at 5.0 rev / (min) . What centripetal force (inN) must she exert to stay on if she is 15.00 m from its center?

Answer 1

F_c = mRω²

m = 18.0 kg

R = 15.00 meters

ω = 5.0 rev/min

Convert ω to radians/sec.

ω = 5.0 rev/min = (5.0 rev)(2π rad/rev) / (60 sec) = ? rad/sec

Plug the values of m in kg, R in meters, and ω in rad/sec into the equation above for F_c, and get the centripetal force in newtons. You finish from here.