A 50.0 kg runner runs around the edge of a hoizontal turntable mounted on a vertical, frictionless axis through its center The runner's velocity relative to the earth has magnitude 2.80 m/s The turntable is rotating in the opposite direction with an angular velocity of magnitude 0250 rad/s relative to the earth. The radius of the turntable is 3.50 m, and its moment of inertia about the axis of rotation is 80.0 kg - m? Part A Find the magnitude of the final angular velocity of the system if the runner comes to rest relative to the turntable (You can model the runner as a particle Express your answer in radians per second. Πνα ΑΣφ rad/s

Principles of Physics: A Calculus-Based Text
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Author:Raymond A. Serway, John W. Jewett
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Chapter10: Rotational Motion
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A 50.0 kg runner 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 2.80 m/s. The turntable is
rotating in the opposite direction with an angular velocity of magnitude
0.250 rad/s relative to the earth. The radius of the turntable is
Part A
3.50 m, and its moment of inertia about the axis of rotation is
Find the magnitude of the final angular velocity of the system if the runner comes to rest relative to the turntable. (You can model the runner as a particle.)
80.0 kg m2
Express your answer in radians per second.
■ AX中
rad/s
Transcribed Image Text:A 50.0 kg runner 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 2.80 m/s. The turntable is rotating in the opposite direction with an angular velocity of magnitude 0.250 rad/s relative to the earth. The radius of the turntable is Part A 3.50 m, and its moment of inertia about the axis of rotation is Find the magnitude of the final angular velocity of the system if the runner comes to rest relative to the turntable. (You can model the runner as a particle.) 80.0 kg m2 Express your answer in radians per second. ■ AX中 rad/s
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