How to Find the Moment of Inertia of a Solid Sphere?

A short tutorial on how to calculate the moment of inertia of a solid sphere

Moment of Inertia of a Solid Sphere Calculation

The mass moment of inertia of a solid sphere of radius 'r' and mass 'm' is given by I = 2mr2 / 5.
Let us follow the steps for how to find the moment of inertia of a solid sphere with radius 'r' and mass 'm' with an example.
How To Calculate Moment Of Inertia Of Solid Sphere
Formula:
Moment of Inertia of a Hollow Sphere I = 2mr2 / 5
Where,
m = Mass
r = Radius
moment of inertia of solid sphere formula
Step 1: Assume a solid cylinder having a mass of 25kg and a radius of 6cm.
Moment Of Inertia Of Solid Sphere Example
Step 2: Applying the values in the formula,
Moment of Inertia of a Solid Sphere
I = 2mr2 / 5
I = 2 x 25 x 62 / 5
I = 1800 / 5
I = 360
Moment Of Inertia Of Solid Sphere Calculation


Related Topics