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Moment Of Inertia Calculator

Find a moment of inertia for a selected ideal symmetric body. Uniform mass distribution: disk mr²/2, thin ring mr², solid sphere 2mr²/5.

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

Your result
Enter your details

Result will appear here

How Moment Of Inertia Calculator works

Find a moment of inertia for a selected ideal symmetric body.

Uniform mass distribution: disk mr²/2, thin ring mr², solid sphere 2mr²/5. Axis runs through the centre. Inputs and results use floating-point numbers and may be rounded. Results show up to 12 significant digits.

Concept diagram for Moment Of Inertia Calculator, showing mass (kg) input and the supported output.
Concept diagram; the three operation images are actual browser captures.

How to use Moment Of Inertia Calculator

Follow the labelled inputs.

Enter mass (kg)

Replace the example with mass (kg). The field labels specify the expected format and units.

Input and settings
Moment Of Inertia 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 radius (m), axis and shape. Uniform mass distribution: disk mr²/2, thin ring mr², solid sphere 2mr²/5.

Tool result
Moment Of Inertia 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.

Review the details
Moment Of Inertia 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 Moment Of Inertia Calculator

Check the supplied example

The starting example produces 9 kg·m². Find a moment of inertia for a selected ideal symmetric body.

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

Use your own inputs

Read the labels for mass (kg) and radius (m), axis and shape. Uniform mass distribution: disk mr²/2, thin ring mr², solid sphere 2mr²/5.

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.

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.

Find a moment of inertia for a selected ideal symmetric body.

Uniform mass distribution: disk mr²/2, thin ring mr², solid sphere 2mr²/5. Axis runs through the centre. Inputs and results use floating-point numbers and may be rounded. Results show up to 12 significant digits.

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.

Uniform mass distribution: disk mr²/2, thin ring mr², solid sphere 2mr²/5. Axis runs through the centre. 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.

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

Moment Of Inertia Calculator: common questions

Answers about using Moment Of Inertia Calculator and understanding its results.

What inputs and assumptions apply?

Uniform mass distribution: disk mr²/2, thin ring mr², solid sphere 2mr²/5. Axis runs through the centre. 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