When to use this calculator
Find shaft mechanical power from torque and angular velocity. Torque and angular velocity are collinear in this scalar calculation.
Explore the force, energy & machines calculators for other questions in this topic. For a related calculation, use the Solid Disc Moment of Inertia Calculator: Find the central-axis moment of inertia of a uniform solid disc.
PUTTING IT INTO PRACTICE
Rotational Power: 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 |
|---|---|
| Torque (N·m) | 10 |
| Angular velocity (rad/s) | 5 |
| Result | 50 W |
- Check the input labels and enter the example values above.
- Apply the relationship: Power = torque × angular velocity.
- The result is 50 W, rounded for display.
How to interpret your result
Torque and angular velocity are collinear in this scalar calculation.
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 rotational power calculator useful?
Find shaft mechanical power from torque and angular velocity. Torque and angular velocity are collinear in this scalar calculation.
How do I use the rotational power calculator?
Enter torque (n·m), 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?
Power = torque × angular velocity.
What should I check before using the result?
Torque and angular velocity are collinear in this scalar calculation.
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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