Physics Rotational Mechanics Level: High School

A 50 kg child stands at the rim at the of a merry-go-round of radius 2.00 m , rotating with an angular speed of 3.00 rad / s ,

a) What is the child centripetal acceleration ?

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

c) What minimum coefficient of static friction is required ? Is the child likely to stay on the merry-go-round ?