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Physics

Rotational Kinetic Energy Calculator

Calculate energy stored in rigid-body rotation.

SI units shown beside each fieldIdeal model explained below
Physics lab
Physics lab

Use the units beside each input and review the model assumptions.

See the method

Define your system

Runs on your device

Your calculated quantity

Your result

Let’s calculate.

Use the Calculate button to see your result.

Review the method below for assumptions and conventions.

How to use this tool

  1. Enter moment of inertia, angular speed.
  2. Select Calculate to view the result.
  3. Check the method and assumptions below before using the result.

Input reference and sample values

Use the units and choices shown for each field. Sample values are provided for practice, not as recommendations.

InputFormat and unitsSample
Moment of inertiaNumeric value. Unit: kg·m². Must be greater than zero.2
Angular speedNumeric value. Unit: rad/s. Zero or positive.10

Result for these sample inputs

100 J

Select Try the example in the form to load these values and calculate them again. This replaces the current form inputs. Compare the result with the method and worked explanation below.

The method, explained

Rotational energy = moment of inertia × angular speed²/2.

A WORKED EXAMPLE

Using moment of inertia = 2 kg·m², angular speed = 10 rad/s, the result is 100 J. Change these example inputs to match your task; use the method above to check each step.

What to keep in mind

An idealized educational model using the stated SI units. Real systems may need additional forces, losses or experimental measurements. Not a safety or equipment specification.

Methodology maintained by ClarityKit. How these tools are built and checked.