Physics, asked by Anonymous, 8 months ago

What is the moment of inertia of a sphere of mass 20kg and radius 1/4 m about its diameter.

Answers

Answered by Anonymous
8

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Answered by nirman95
8

Given:

A sphere of mass 20 kg and radius ¼ metre has been provided.

To find:

Moment of inertia?

Solution:

  • Let's assume the sphere to be solid.

Now, moment of inertia along an axis about its diameter will be:

MI = \dfrac{2}{5} m {r}^{2}

 \implies MI = \dfrac{2}{5} \times 20 \times {(0.25)}^{2}

 \implies MI = \dfrac{2}{5} \times 20 \times 0.0625

 \implies MI = \dfrac{2}{5} \times 1.25

 \implies MI = 0.5 \: kg {m}^{2}

So, moment of inertia is 0.5 kgm².

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