How to Calculate Moment Of Inertia?

Several ways are used to calculate the moment of inertia of any rotating object. 

  • For uniform objects, the moment of inertia is calculated by taking the product of its mass with the square of its distance from the axis of rotation (r2). 
  • For non-uniform objects, we calculate the moment of inertia by taking the sum of the product of individual point masses at each different radius for this the formula used is

I = ∑miri2

How to Calculate Moment Of Inertia?

The Moment of Inertia, referred to as the angular mass or rotational inertia, with respect to the rotation axis is a quantity that determines the amount of torque necessary to achieve a desired angular acceleration or a characteristic of a body that prevents angular acceleration. The moment of inertia is calculated as the sum of each particle’s mass times the square of its distance from the rotational axis. 

Table of Content

  • Moment of Inertia
  • How to Calculate Moment Of Inertia?
  • Formulas For Calculating Moment Of Inertia
  • Solved Examples of Moment of Inertia

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Moment of Inertia

The term “Moment of Inertia” refers to the quantity that describes how a body resists angular acceleration and is calculated as the product of the mass of each particle times the square of the particle’s distance from the rotational axis. Or, to put it another way, you could say that it’s a quantity that determines how much torque is required for a certain angular acceleration in a rotating axis. Inertia moment is often referred to as rotational inertia or angular mass. kg m2 is the unit of moment of inertia in the SI system....

How to Calculate Moment Of Inertia?

Several ways are used to calculate the moment of inertia of any rotating object....

Formulas For Calculating Moment Of Inertia

Expressions for the moment of inertia for some symmetric objects along with their axis of rotation are discussed below in this table....

Solved Examples of Moment of Inertia

Example 1: Determine the solid sphere’s moment of inertia at a mass of 22 kg and a radius of 5 m....

Conclusion of Moment of Inertia

Moment of Inertia is pivotal in rotational mechanics, defining an object’s resistance to rotation. Its application spans engineering, physics, and various fields, guiding the design and optimization of rotating systems like gears and flywheels. Understanding moment of inertia facilitates the enhancement of system performance and reliability, driving innovation across diverse applications....

Moment of Inertia- FAQs

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