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Rotational Kinetic Energy Calculator

Rotational kinetic energy = Iω²/2. Rigid body about the supplied fixed axis; classical mechanics.

Free to useNo sign-upRuns in your browser
Enter your details

Enter the inputs, then select Calculate.

Allowed range: 1e-30 to 1,000,000,000.

Allowed range: -1,000,000,000 to 1,000,000,000.

Your result
Enter your details

Result will appear here

How Rotational Kinetic Energy Calculator works

Rotational kinetic energy = Iω²/2.

Rigid body about the supplied fixed axis; classical mechanics. Inputs and results use floating-point numbers and may be rounded. Results show up to 12 significant digits.

Concept diagram for Rotational Kinetic Energy Calculator, showing moment of inertia (kg·m²) input and the supported output.
Concept diagram; the three operation images are actual browser captures.

How to use Rotational Kinetic Energy Calculator

Follow the labelled inputs.

Enter moment of inertia (kg·m²)

Replace the example with moment of inertia (kg·m²). The field labels specify the expected format and units.

Calculate
Input and settings
Rotational Kinetic Energy Calculator: input and settings in the implemented browser tool
Actual local browser view. Open the image to read it at full size.

Check the remaining inputs

Set angular speed (rad/s). Rigid body about the supplied fixed axis; classical mechanics.

Calculate
Tool result
Rotational Kinetic Energy Calculator: tool result in the implemented browser tool
Actual local browser view. Open the image to read it at full size.

Run, review and save

Select Calculate. Review the calculated result, then copy it or download the result text.

Calculate
Review the details
Rotational Kinetic Energy Calculator: review the details in the implemented browser tool
Actual local browser view. Open the image to read it at full size.

Examples and uses for Rotational Kinetic Energy Calculator

Check the supplied example

The starting example produces 9 J. Rotational kinetic energy = Iω²/2.

Calculate
Abstract input values and a mathematical worksheet.
Start with the values. Concept illustration.

Use your own inputs

Read the labels for moment of inertia (kg·m²) and angular speed (rad/s). Rigid body about the supplied fixed axis; classical mechanics.

Calculate
Two calculation examples shown for comparison.
Compare a second example. Concept illustration.

Record a reviewed result

Copy the calculated result into your notes. Keep the formula and assumptions with it if someone else needs to reproduce the calculation.

Calculate
A calculation and supporting explanation represented conceptually.
Explain the calculation. Concept illustration.

How to read the result

Read the units and assumptions with the output.

Rotational kinetic energy = Iω²/2.

Rigid body about the supplied fixed axis; classical mechanics. Inputs and results use floating-point numbers and may be rounded. Results show up to 12 significant digits.

CalculateCalculate
A mathematical result connected to the values used to calculate it.
Read the result with its inputs. Concept illustration.

Supported input and limits

Check the stated scope before you run it.

Rigid body about the supplied fixed axis; classical mechanics. Inputs and results use floating-point numbers and may be rounded. Results show up to 12 significant digits.

The input stays in this browser. Copy result and Download save the same displayed text.

CalculateCalculate
Values and units reviewed before relying on a mathematical result.
Check values and units. Concept illustration.

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Rotational Kinetic Energy Calculator: common questions

Answers about using Rotational Kinetic Energy Calculator and understanding its results.

What inputs and assumptions apply?

Rigid body about the supplied fixed axis; classical mechanics. Inputs and results use floating-point numbers and may be rounded. Results show up to 12 significant digits.

How can I save the result?

Copy result copies the displayed text. Download saves the same text as a TXT file. Processing runs in this browser without an account.

Calculate with your input

Check the calculated result, then copy or download it.

Calculate