Moment of Inertia Formula
The Moment of Inertia is a scalar quantity. Mathematically, the product of the square of the mass of a particle and the distance from the axis of rotation is called the moment of inertia of the particle about the axis of rotation.
The general formula for finding the Moment of Inertia of any object is,
I = mr2
where,
m is the mass of the object’
r is the distance from the axis of rotation
For a body of consisting of continuous infinitesimally small particles, the Integral form of the Moment of Inertia is used to calculate the Moment of Inertia.
I = ∫dI
I = [Tex]\int_{0}^{M} r^2 dm [/Tex]
Moment of Inertia
Moment of inertia is the property of a body in rotational motion. Moment of Inertia is the property of the rotational bodies which tends to oppose the change in rotational motion of the body. It is similar to the inertia of any body in translational motion. Mathematically, the Moment of Inertia is given as the sum of the product of the mass of each particle and the square of the distance from the rotational axis. It is measured in the unit of kgm2.
Let’s learn about the Moment of Inertia in detail in the article below.
Table of Content
- Moment of Inertia Definition
- Moment of Inertia Formula
- Factors Affecting Moment of Inertia
- How to Calculate Moment Of Inertia?
- Moment Of Inertia Formula for Different Shapes
- Radius of Gyration
- Moment of Inertia Theorems
- Moments of Inertia for Different Objects