How it works
Use force torque with the units stated beside the fields. This form solves for radius; enter the known quantities in Torque magnitude, Force magnitude, Acute angle.
Inputs and units
| Input | Example value | What to enter |
|---|---|---|
| Torque magnitude | 4.5 N·m | Formula symbol: τ. Required unit: N·m. Must be greater than zero. |
| Force magnitude | 3 N | Formula symbol: F. Required unit: N. Must be greater than zero. |
| Acute angle | 22.5 ° | Formula symbol: θ. Required unit: °. Must be greater than zero. Allowed range: 1E-9–89.999999. |
Worked example
Show example inputs and results
This example is generated by the same calculation engine using the starting values in the form. Your own inputs produce your own result.
- Torque magnitude
- 4.5 N·m
- Force magnitude
- 3 N
- Acute angle
- 22.5 °
Complete example results
- Radius
- 3.91968889 m
Reading the result
The result solves for radius from the entered quantities. Check the result unit and the formula conditions before using it.
Questions and answers
Can I use the example values for my own calculation?
The example values illustrate the calculation. Replace every input with your own information, especially dates, rates and the selected operation.
When can I use the radius result?
This model uses positive magnitudes. Radius runs from the axis to the force application point. Angle is between radius and force; only the acute branch is solved.
Why are some results rounded?
Results display up to 8 decimal places. Calculations use the unrounded values; very small values use scientific notation. JavaScript floating-point arithmetic can introduce tiny rounding differences.
Are my inputs sent to a server?
The calculator processes inputs in your browser. Its code does not send your values to a server.
Method sources: openstax.org