When to use this calculator
Calculate scalar angular momentum for a rigid rotor. Uses rotation about a fixed principal axis in this scalar model.
Explore the force, energy & machines calculators for other questions in this topic. For a related calculation, use the Coefficient of Restitution Calculator: Compare relative separation and approach speeds in a one-dimensional collision.
PUTTING IT INTO PRACTICE
Angular Momentum: a worked example
The values below are an illustrative example, not a recommendation. Replace them with measurements or assumptions that match your question.
| Input | Example value |
|---|---|
| Moment of inertia (kg·m²) | 2 |
| Angular velocity (rad/s) | 5 |
| Result | 10 kg·m²/s |
- Check the input labels and enter the example values above.
- Apply the relationship: Angular momentum = moment of inertia × angular velocity.
- The result is 10 kg·m²/s, rounded for display.
How to interpret your result
Uses rotation about a fixed principal axis in this scalar model.
Distinguish net force from individual forces and specify the direction of displacement. Work can be negative. Force multiplication does not create extra energy because motion distance and losses also matter.
Frequently asked questions
Is mechanical advantage the same as efficiency?
No. Mechanical advantage compares forces; efficiency compares useful output energy or power with the corresponding input.
When is the angular momentum calculator useful?
Calculate scalar angular momentum for a rigid rotor. Uses rotation about a fixed principal axis in this scalar model.
How do I use the angular momentum calculator?
Enter moment of inertia (kg·m²), angular velocity (rad/s). The result updates automatically. Use the units shown beside each input; the example values illustrate the method.
Which formula does this calculator use?
Angular momentum = moment of inertia × angular velocity.
What should I check before using the result?
Uses rotation about a fixed principal axis in this scalar model.
How are results rounded?
Scalar numbers display up to six decimal places, with scientific notation for very large or small values. Text, fraction, date and schedule outputs use the format described on the tool. Intermediate calculations use JavaScript floating-point arithmetic. Keep sensible precision for your measurements.
Further reading
For background on this topic, see OpenStax: work and energy ↗. This is a topic reference, not an external review or endorsement of this tool.
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