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A 40 kg child (point mass) rides on the outer edge of a merry-go-round, which is...

A 40 kg child (point mass) rides on the outer edge of a merry-go-round, which is a large disk of mass 150 kg and radius 1.5 m. The merry-go-round spins with an angular velocity of 12 rpm. What is the merry-go-round’s angular velocity in radians per second (rad/s)? What is the total rotational inertia (moment of inertia) of the child and merry-go-round together? What is the rotational kinetic energy (in joules) of the merry-go-round and child together? What magnitude of torque (in newton-meters) would be required to bring the merry-go-round to rest in 20 s, assuming the child stays still?

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