Equations of Rotational Motion Video Lessons

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Problem: (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?

FREE Expert Solution

The Earth's rotational kinetic energy is found from:

Krot=12Iω2, where I is the Earth's moment of inertia and ω is the angular velocity of the Earth.

(a)

The moment of inertial of Earth can be considered to be the same as that of a solid sphere. 

So we have:

Iearth=25Mr2, where M is the mass of the Earth and r is the radius of the Earth.

We know that M = 6 × 1024 kg

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Problem Details

(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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