When to use this calculator
Find torque magnitude for a force at an angle to a lever arm. Angle is between the force direction and the lever arm.
Explore the force, energy & machines calculators for other questions in this topic. For a related calculation, use the Weight Force Calculator: Calculate gravitational weight from mass and a selected gravitational acceleration.
PUTTING IT INTO PRACTICE
Torque: 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 |
|---|---|
| Force (N) | 100 |
| Lever length (m) | 0.3 |
| Angle (degrees) | 90 |
| Result | 30 N·m |
- Check the input labels and enter the example values above.
- Apply the relationship: Torque = force × lever arm × sin(angle).
- The result is 30 N·m, rounded for display.
How to interpret your result
Angle is between the force direction and the lever arm.
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.
How do I use the torque calculator?
Enter force (n), lever length (m), angle (degrees). The result updates automatically. Use the units shown beside each input; the example values illustrate the method.
Which formula does this calculator use?
Torque = force × lever arm × sin(angle).
What should I check before using the result?
Angle is between the force direction and the lever arm.
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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