Mechanics

Moment of Inertia (Point Mass)

I=mr2I = mr^2

Rotational equivalent of mass for a point mass.

Variables

I
Moment of inertia
Rotational inertia
kg·m²
m
Mass
Point mass
kg
r
Distance
Distance from axis
m

Derivation

Definition: I = Σmᵢrᵢ² for discrete masses.

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Common questions

What is the Moment of Inertia (Point Mass) formula?

Moment of Inertia (Point Mass) is written I = mr². Rotational equivalent of mass for a point mass. It belongs to Mechanics, under Rotational Motion.

What are the units in I = mr²?

In SI units, I is moment of inertia, measured in kg·m²; m is mass, measured in kg; r is distance, measured in m.

How is the Moment of Inertia (Point Mass) formula derived?

Definition: I = Σmᵢrᵢ² for discrete masses. The result is I = mr².