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The mass of the Earth is 5.9737076×1024 kg and its average radius is 6,371,912 m. Assume...

The mass of the Earth is 5.9737076×1024 kg and its average radius is 6,371,912 m. Assume that all of the world's ice is at the poles and does not contribute to the Earth's moment of inertia when in ice form. (Note that some values were changed to make the problem more interesting.)

a) Assuming that the Earth is a perfect solid sphere, what is its moment of inertia?

b) If the Earth has a period of 23.93447232 hours, what is its angular speed?

c) If the 2.785 x 1022 kg of the world's ice melted and moved to the equator, what would be the the Earth's new moment of inertia?

d) What would be the Earth's new angular speed?

e) What is the Earth's new period?

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