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Rotational motion

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An electric motor can accelerate a Ferris wheel of moment of inertia l = 22000 kg m^2 from rest to 11.0 rev/min in 12.0 s. When the motor is turned off, friction causes the wheel to slow down from 11.0 to 9.0 rev/min in 10.0s.

a) Determine the torque generated by the motor to bring the wheel to 11.0 rev/min.

b) Determine the power that would be needed to maintain this rotational speed.

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Solution Summary

A step by step solution is provided to determine torque and power.

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Rotational Motion: Motion on a turn table.

A runner of mass m runs around the edge of a horizontal turntable mounted on a vertical, frictionless axis through its center. The runner's velocity relative to the earth has magnitude v. The turntable is rotating in the opposite direction with an angular velocity of magnitude omega relative to the earth. The radius of the turntable is r, and its moment of inertia about the axis of rotation is I.

Find the final angular velocity of the system if the runner comes to rest relative to the turntable. (You can treat the runner as a particle.)

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