Physics

Mass Moment of Inertia Calculator

Find the mass moment of inertia for common shapes.

Mass

Radius / length

Shape

Calculated Output

Moment of inertia (kg·m²) 0.5

Formula: I = k·m·r²

Step-by-Step Breakdown

1. Values used:

2. Mass = 4

3. Radius / length = 0.5

5. Moment of inertia = 0.5kg·m²

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The math behind it

Each shape has a coefficient: I = k·m·r². Mass farther from the axis increases inertia.

4 kg solid disk, r = 0.5 → I = 0.5 kg·m².

Why does shape matter?

Spreading mass farther from the axis makes it harder to spin up.