A man stands on a merry-go-round that is rotating at 2.5 rad/s. The coefficient of static friction between the man’s shoes and the merry-go-round’s surface is 0.50. How far from the merry-go-round’s axis of rotation can the man stand and continue to be held in place by friction?
A child with mass 40 kg sits on the edge of a merry-go-round at a distance of 3.0 m from its axis of rotation. The merry-go-round accelerates from rest to 0.40 rev/s in 10 s. The coefficient of static friction between the child and the surface of the merry-go-round is 0.60. After the merry-go-round has accelerated for 5.0 seconds, by how much does the frictional force on the child exceed the force accelerating her due to the merry-go-round’s rotation?
A wind turbine is rotating at 0.500 rev/s and slows to a stop in 10.0 s. Its blades are 20.0 m in length.
What is the angular acceleration of the turbine?
What is the centripetal acceleration of the tip of the blades at ?