An child jumps on 0.25 m from the edge of the 50.0-kg merry-go-round, which has a 1.50 m radius. a) Calculate the rotational kinetic energy in the merry-go-round plus child when they have an angular velocity

An child jumps on 0.25 m from the edge of the 50.0-kg merry-go-round, which has a 1.50 m radius. a) Calculate the rotational kinetic energy in the merry-go-round plus child when they have an angular velocity

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Question

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An child jumps on 0.25 m from the edge of the 50.0-kg merry-go-round, which has a 1.50 m radius.

a) Calculate the rotational kinetic energy in the merry-go-round plus child when they have an angular velocity of 20 rpm if the system's inertia is 84.38 Nm.

b. Using energy considerations, find the number of revolutions the child's father will have to push to achieve this angular velocity starting from rest if he pushes with a force of 250 N

c. Again, using energy considerations, calculate the force the father must exert to stop the merry-go-round in two revolutions.

Definition Definition Rate of change of angular displacement. Angular velocity indicates how fast an object is rotating. It is a vector quantity and has both magnitude and direction. The magnitude of angular velocity is represented by the length of the vector and the direction of angular velocity is represented by the right-hand thumb rule. It is generally represented by ω.

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