Torque Calculator
Calculate torque step by step: τ = F × r × sin θ.
In short
Formula: τ = F × r × sin θ.
Torque
60 N·m
- Pound-feet
- 44.2537 lbf·ft
- Effective arm
- 0.3 m
What this calculator does
Calculate torque step by step: τ = F × r × sin θ. Worked example, questions and limitations included.
Use it to turn Force, Lever arm distance, Angle between force and arm into a checked result you can compare, copy, or rerun with different assumptions.
The page shows the formula, a numeric worked example, and the assumptions that affect this mechanical calculation.
Inputs and what they mean
- Force
- — number value.
- Lever arm distance
- — number value.
- Angle between force and arm
- — number value.
How to use it
- Enter each value in the unit shown next to the box (use the unit converter first if your numbers are in other units).
- Check the breakdown to see every intermediate step.
- Read the limitations before relying on the result.
Formula
θ is the angle between the force and the lever arm; 90° gives maximum torque.
Angle limited to 0°–180°.
1 lbf·ft = 1.3558 N·m.
τ = F × r × sin θ.
Inputs used: Force, Lever arm distance, Angle between force and arm.
Worked example
200 N on a 0.3 m wrench
- sin 90° = 1.
- τ = 200 × 0.3 × 1 = 60 N·m.
Reading the result
The headline figure is the main answer. Any breakdown underneath shows the parts that make it up, so you can check the working and see what changes when you adjust an input.
Limitations and assumptions
- Static torque only.
- Rigid arm assumed.
- Friction in threads or bearings not included.
- Results are estimates for planning and learning. Real designs, installations and bids must be checked by a qualified, licensed professional against the codes that apply where you work.
- The result depends on the values you enter for this torque calculator; it does not supply missing rates, rules, prices, dates, or assumptions for you.
Common questions
Why does the angle matter?
Only the part of the force perpendicular to the arm turns the object. Pushing along the arm produces no torque.
Is torque the same as work?
They share units (N·m) but differ: torque is a turning force, work is energy. Work in rotation is torque × angle in radians.
How do I convert to lb-ft?
Divide N·m by 1.3558; the result is shown in the breakdown. Check the formula, example, and limitations on this page before using the result for a real mechanical decision.
How do I use the Torque Calculator?
Enter the required values for Force, Lever arm distance, Angle between force and arm. The calculator applies the formula on this page and shows the main result with any supporting breakdown so you can check the arithmetic.
What formula does the Torque Calculator use?
τ = F × r × sin θ. The visible formula section above lists the calculation path and the edge cases the page handles, so the result can be checked without relying on the form alone.
Can the Torque Calculator be used for exact decisions?
Use it as a calculation aid, not as a substitute for checking the underlying rule, contract, policy, or professional advice that applies to your situation. When a result depends on local rules, personal details, prices, or dates, enter those values yourself and confirm them before acting.
Related tools
Calculate mechanical power step by step: P = W ÷ t, or P = F × v.