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Torque (τ) is a rotational force — the tendency of a force to rotate an object about an axis. It equals force × distance × sin(angle). Engineers use it for tightening bolts, designing engines, and analysing structures.
Formula
τ = r × F × sin(θ) | τ = F × d (perpendicular distance)
- τ
- Torque (N⋅m or lb-ft)
- r
- Lever Arm Length (m or ft)
- F
- Applied Force (N or lb)
Guida passo passo
- 1τ = F × d × sin(θ)
- 2F = applied force (Newtons)
- 3d = distance from pivot to force application (metres)
- 4θ = angle between force and lever arm
- 5Maximum torque occurs at θ = 90°
Esempi risolti
Ingresso
50 N force, 0.3 m wrench, 90°
Risultato
15 N·m torque
Ingresso
Same force at 45°
Risultato
10.6 N·m — 29% less due to angle
Domande frequenti
Why is angle important in torque?
Only the perpendicular component of force creates torque. Force applied parallel to the lever arm creates zero torque.
How does lever arm length affect torque?
Torque increases linearly with lever arm length. A longer wrench provides more torque with the same force — why leverage works.
What is the difference between torque and force?
Force is a push or pull. Torque is rotational force, measured at a distance from a pivot point. Torque depends on both force and distance.
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