A 50.0-kg child stands at the rim of a merry-go-round of radius 1.65 m, rotating with an angular speed of 3.00 rad/s.

(a) What is the child's centripetal acceleration?
m/s2

(b) What is the minimum force between her feet and the floor of the carousel that is required to keep her in the circular path?
N

(c) What minimum coefficient of static friction is required?