The Earth's rotational kinetic energy is found from:
, where I is the Earth's moment of inertia and ω is the angular velocity of the Earth.
The moment of inertial of Earth can be considered to be the same as that of a solid sphere.
So we have:
, where M is the mass of the Earth and r is the radius of the Earth.
We know that M = 6 × 1024 kg
(a) Calculate the rotational kinetic energy of Earth on its axis.
(b) What is the rotational kinetic energy of Earth in its orbit around the Sun?
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