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Hollow Cylinder Moment of Inertia from Inner and Outer Radius Calculator

I = ½·m·(R²+r²) for a thick-walled cylindrical shell.

Calculates the moment of inertia of a hollow cylinder rotating about its symmetry axis: I = ½·m·(R₂² + R₁²), where R₂ is outer radius and R₁ is inner radius.

Priya Venkatesan By Priya Venkatesan
Published Last reviewed 1 min read

Inputs

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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 = ½·m·(R₂² + R₁²)

In depth

Calculates the moment of inertia of a hollow cylinder rotating about its symmetry axis: I = ½·m·(R₂² + R₁²), where R₂ is outer radius and R₁ is inner radius.