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A student sits on a swivel seat. Initially the student is at rest, holding a spinning...

A student sits on a swivel seat. Initially the student is at rest, holding a spinning bicycle wheel that has an angular velocity of 14.3 rad/s (see figure below). The student turns the spinning wheel upside down, reversing the direction of its angular velocity. This causes the student to begin to rotate. Find the student's final angular velocity. The moments of inertia of the wheel and of the student are 0.266 kg · m2 and 2.90 kg · m2 respectively.

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Answer #1

Moment of inertia of wheel

Moment of inertia of student

Initial angular velocity of wheel

Initial angular velocity of student

Final angular velocity of wheel

Final angular velocity of student

Conserving the angular momentum of wheel and student,

Students final angular velocity is and is directed as the initial direction of wheel.

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