Torque Calculator
τ = r × F × sin(θ). Rotational force = lever arm × applied force × angle.
Result
Torque
30.0000 N·m
22.128 lb-ft.
- Lever arm0.3 m
- Force100 N
- Angle90°
- sin θ1.0000
- Torque30.000000 N·m
- Torque (lb-ft)22.1280
Step-by-step
- τ = r × F × sin θ = 0.3 × 100 × 1.0000 = 30.0000 N·m.
- Convert: N·m × 0.7376 = lb-ft → 22.128 lb-ft.
How to use this calculator
- Enter lever arm + force + angle.
- Read torque in N·m and lb-ft.
About this calculator
Torque (τ) is rotational force. τ = r × F × sin(θ) where r = lever arm, F = applied force, θ = angle between them. Maximum torque at θ = 90° (perpendicular). Wrench: longer lever = more torque for same hand force. Engine torque is at the crankshaft. Standard wheel-lug torque spec: 100-150 lb-ft for passenger cars; 350+ for heavy trucks. SI unit N·m; US engineering uses lb-ft.
Frequently asked
Only the perpendicular component of force creates torque. F sin θ is that perpendicular component.
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