(a) Assuming that the earth is a solid sphere of uniform density, calculate its moment of inertia and its rotational energy.
(b) The earth's rotation is slowing (i.e., the earth is losing rotational energy). The earth's rotational period (the length of the day) is increasing at a rate of $1.7 \times 10 ^ { - 5 } \mathrm {~s}$ per year. Calculate the annual rotational energy loss of the earth and compare this to the annual energy use by society.

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The Answer of (a) Assuming that the earth is a solid sphere of uniform density, calculate its moment of inertia and its rotational energy.
(b) The earth's rotation is slowing (i.e., the earth is losing rotational energy). The earth's rotational period (the length of the day) is increasing at a rate of $1.7 \times 10 ^ { - 5 } \mathrm {~s}$ per year. Calculate the annual rotational energy loss of the earth and compare this to the annual energy use by society.

(A) Assuming That the Earth Is a Solid Sphere of Uniform