Moment of Inertia Calculator

Free, instant moment of inertia calculator with step-by-step solutions, transparent formulas, and verification.

Quick answer

Moment of inertia measures resistance to angular acceleration and depends on both mass distribution and the chosen rotation axis.

Formula and calculation method

I = ∫r²dm. Common forms include disk ½mr², hoop mr², sphere ⅖mr², and rod about center 1/12mL².

Use the interactive Toolune page

Enter your values in the browser tool to see the result, worked steps, assumptions, and related learning guides.