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PHYSICS / ROTATIONAL DYNAMICS

Parallel Axis Theorem Calculator

Translate a rigid body moment of inertia to a parallel axis. See the governing equation, substituted values, result, assumptions, and interpretation in one guided workspace.

  • 01 Calculated in this tab
  • 02 Values stay in this browser tab
  • 03 Use boundary

Conversion input

Known value

Filter by unit name, symbol, or code. Your current selections remain available.

Preparing the calculator...

Use boundary

Calculation path

Translate a rigid body moment of inertia to a parallel axis. The page evaluates the displayed equation from your supplied values and presents both symbolic and substituted KaTeX working so the arithmetic can be checked.

Calculation path

I=I_cm+Md^2

What you provide

What you provide

  • Center-of-mass inertia expressed in kg m^2, using the same scenario as the other inputs
  • Body mass expressed in kg, using the same scenario as the other inputs
  • Parallel-axis separation expressed in m, using the same scenario as the other inputs

What you receive

What you receive

  • Translated moment of inertia in kg m^2 from the stated equation
  • A symbolic formula plus substituted working with your values
  • Visible assumptions, field guidance, and an authoritative learning reference

Use boundary

Choose the maximum decimal places shown. This does not increase source accuracy.

The reference axis passes through the center of mass and is parallel to the target axis.

Use internally consistent units and retain extra precision when carrying the result into another calculation.

Reviewed reference factors

Reviewed reference factors