Mechanics

Moment of Inertia (Disk/Cylinder)

Moment of inertia of a solid disk or cylinder rotating about its central axis.

Variables

I
Moment of inertia
Rotational inertia
kg·m²
M
Mass
Total mass of disk
kg
R
Radius
Radius of disk
m

Derivation

I = ∫r²dm. For a disk with uniform density: I = ∫₀^R r²(2πrρh)dr = ½MR².

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