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PHYSICS / ROTATION

Rotational Kinetic Energy Calculator

Calculate rotational kinetic energy from moment of inertia and angular velocity. Review the symbolic equation, substituted SI values, assumptions, and result together.

  • 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

Calculate rotational kinetic energy from moment of inertia and angular velocity. 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

K_rot=(1/2)I omega^2

What you provide

What you provide

  • Moment of inertia expressed in kg m^2, using the same scenario as the other inputs
  • Angular velocity expressed in rad/s, using the same scenario as the other inputs

What you receive

What you receive

  • Rotational kinetic energy in J 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 body is rigid and the supplied moment of inertia is about the actual rotation axis.

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

Reviewed reference factors

Reviewed reference factors