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A gymnast doing a forward flip lands on the mat and exerts a 490 N ·...

A gymnast doing a forward flip lands on the mat and exerts a 490 N · m torque to slow and then reverse her angular velocity. Her initial angular velocity is 12.0 rad/s, and her moment of inertia is 0.065 kg · m2. (Assume her final angular velocity is −12 rad/s.)

(a) What time (in s) is required for her to exactly reverse her spin?

(b) What is unreasonable about the result?

(c) Which premises are unreasonable or inconsistent?

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