basic

Solid Cylinder Moment of Inertia Calculator

I = ½ · M · R² about the central axis.

Compute the moment of inertia of a uniform solid cylinder (or disc) about its central long axis: I = ½ · M · R². Also reports I about an end (parallel-axis), I = ½MR² + ML²/12 for a rod-like cylinder.

Dr. Helena Ortiz By Dr. Helena Ortiz
Published Last reviewed 1 min read

Inputs

kg
m
m

Results

Enter values and click Calculate to see results.
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How to use this calculator

  1. Fill in the inputs above using the units you already have.
  2. Values update automatically as you type — no submit button needed.
  3. Hover any result row for the underlying formula and intermediate values.

Formula

I_axis = ½ · M · R². I_perp_centre = ¼·M·R² + (1/12)·M·L².

In depth

Compute the moment of inertia of a uniform solid cylinder (or disc) about its central long axis: I = ½ · M · R². Also reports I about an end (parallel-axis), I = ½MR² + ML²/12 for a rod-like cylinder.