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.
Moment of Inertia of a System of n Particles
The moment of inertia is the following for a system of point particles rotating around a fixed axis:
I = ∑miri2
where,
ri is the distance between the axis and the ith particle,
mi is the mass of ith particle.
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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