# Moment of Inertia Calculator

Moment of Inertia |
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Mass of object |
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Distance from Rotating axis |
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## Definition

**Moment of Inertia** refers to a measure of an object’s resistance to change its rotation. Moment of Inertia of a body depends on the distribution of mass in the body with respect to the axis of rotation. The moment of inertia is measured as the inertia of a rotating body with respect to its rotation. It represents how difficult it overcomed to change its angular motion about that axis.

Moment of inertia of a same object will change against different axis. Moment of Inertia is always relative to a given axis. The more far away from the axis, the more moment of inertia the object has.

## Formula

For a point mass the Moment of Inertia is the mass times the square of perpendicular distance to the rotation reference axis and can be given as :

I_{(kg.m²)} = m_{(kg)} * r²_{( m²)}

where

**I** = moment of inertia

**m** = mass of object

**r** = distance between axis and rotation object

**For Example:**

**Ques: **Calculate the Moment of Inertia for the rotating object if mass of hollow material is 5kg and the distance between axis and rotation is 10 m?

**Sol. :**

I = m * r²

I = 5_{(kg)} * 10²_{( m²)}

I = 5 * 100

I = 500 kg.m²

**Moment of Inertia is 500 kg.m²**

## Units

The standard unit of measurement for moment of inertia is **kg.m²**