basic

Parallel-Axis Theorem Calculator

I = I_cm + M · d² for a rotation axis offset by d.

Compute the moment of inertia of a rigid body about an axis parallel to its centre-of-mass axis, using the parallel-axis theorem: I = I_cm + M · d².

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

Inputs

kg·m²
kg
m

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 = I_cm + M · d²

In depth

Compute the moment of inertia of a rigid body about an axis parallel to its centre-of-mass axis, using the parallel-axis theorem: I = I_cm + M · d².