What is the moment of inertia of a 100 kg sphere whose radius is 50 cm? (10kgm²) 


Given:

Mass of the sphere = m = 100 kg
Radius of the sphere = r = 50 cm = 0.5 m

To Find:

Moment of inertia = I = ?

Solution:

The formula for the Moment of inertia of a sphere is

I = `\frac {2}{5}`mr²

by putting values

I = `\frac {2}{5}` ｘ 100 kg ｘ (0.5 m)² 

I = 40 kg ｘ 0.25 m² 

I = 10 kg m² ---------------Ans.



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