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Moment of Inertia Calculator

Find the rotational inertia of cylinders, spheres, and rods.

CALCULATE

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Formulas

Solid cylinder: I = ½mr²

Solid sphere: I = 2/5 mr². Rod (center): I = 1/12 mL².

Moment of Inertia

Rotational equivalent of mass. Higher I = harder to spin up or slow down. Depends on mass distribution: mass far from axis = higher I. Used in flywheel design, robotics, vehicle dynamics.

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