Estimate rotational torque with force, arm length, and angle. Switch units easily. Export results, examples, and formulas for engineering tasks.
| Case | Force (N) | Arm (m) | Angle (°) | Torque (N·m) |
|---|---|---|---|---|
| Small Wrench Load | 50 | 0.20 | 90 | 10.00 |
| Angled Load | 120 | 0.35 | 60 | 36.37 |
| Heavy Lever | 300 | 0.50 | 90 | 150.00 |
| Assembly Tool | 80 | 0.15 | 45 | 8.49 |
Main formula: Torque = Force × Lever Arm × sin(Angle)
Torque is highest at 90 degrees. That is because the perpendicular force component is greatest at that angle.
Force formula: Force = Torque ÷ (Lever Arm × sin(Angle))
Arm formula: Lever Arm = Torque ÷ (Force × sin(Angle))
Use force in newtons and arm length in meters for direct output in N·m.
Torque measures rotational effect. Engineers use it in design, testing, and maintenance. It helps evaluate shafts, bolts, motors, gears, and hand tools. Accurate torque values support safety, performance, and repeatable assembly work.
Torque rises when force increases. It also rises when lever arm length increases. A longer handle creates more turning effect with the same applied load. This is why wrench length changes required effort.
Angle is important. Only the perpendicular part of force creates rotation. At ninety degrees, the full force contributes. At lower or higher angles, effective torque drops. That is why angled pulling gives a smaller result.
This calculator supports machine design, tightening review, fixture planning, and maintenance checks. It can estimate required force, verify arm length, or convert results into familiar units. It is useful for shop work and field work.
Engineering teams often switch between metric and imperial units. This page allows quick conversion for force, length, and torque. That reduces manual errors and saves time during inspection, reporting, and equipment setup.
Check that your angle is realistic. Confirm whether the force is perpendicular. Verify unit selections before submission. For critical jobs, compare hand calculations with tool ratings and manufacturer specifications for better confidence.
Torque in N·m is the turning effect created by a force applied at a distance from a pivot. It is a standard engineering unit for rotational effort.
Only the perpendicular component of force produces rotation. When the angle changes, that perpendicular component changes too, so the torque result also changes.
Use 90 degrees when the applied force is exactly perpendicular to the lever arm. In that case, torque reaches its maximum value for the same force and distance.
Yes. Select the force mode, enter torque, arm length, and angle, then submit. The calculator returns force in your selected unit and in newtons.
Yes. The form supports lbf, feet, inches, lbf·ft, and lbf·in. It also converts values to standard metric forms for easy comparison.
Common issues include wrong units, missing angle effects, using zero arm length, and entering a force direction that does not match the real setup.
It helps estimate turning effect, but real bolt tightening also depends on friction, thread condition, lubrication, and tool accuracy. Always check the specified tightening method.
Exports help with documentation, maintenance logs, design notes, and team review. They also make it easier to keep a calculation trail for later reference.
Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.