Mechanics
Moment of Inertia (Disk/Cylinder)
Moment of inertia of a solid disk or cylinder rotating about its central axis.
Variables
Ikg·m²
Moment of inertia
Rotational inertia
Mkg
Mass
Total mass of disk
Rm
Radius
Radius of disk
Derivation
I = ∫r²dm. For a disk with uniform density: I = ∫₀^R r²(2πrρh)dr = ½MR².
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