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A Flywheel with a Moment of Inertia 6

question 43

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A flywheel with a moment of inertia 6.00 × 106 kg∙m2 is spinning with an angular speed of 120 rev/s about a vertical axis while it sits at the north pole. The disk is turning counterclockwise when viewed from above. The disk is brought to a rest. Treat the earth as a uniform sphere with a mass 5.976 × 1024 kg and a radius 6.374 × 106 m.
(a) What will be the magnitude of the change in angular momentum of the earth?
(b) What will be the change in length of a day on Earth?

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