engineering

Torque

A rotational force that causes an object to rotate around an axis, measured in newton-meters or foot-pounds.

Last updated: · Reviewed by Marcus Webb

Torque is the rotational equivalent of linear force. It describes how much a force causes an object to rotate.

Formula

τ = F × d × sin(θ)

Where τ = torque, F = force applied, d = distance from the axis (lever arm), θ = angle between force and lever arm.

Units

  • SI: Newton-meters (N·m)
  • Imperial: Foot-pounds (ft·lbs)

Real-World Applications

Torque is used when tightening bolts (torque wrenches), measuring engine performance, and designing mechanical systems. Engine torque determines acceleration capability.

Torque vs. Horsepower in Vehicles

Torque determines how quickly a vehicle accelerates from a stop (pulling power); horsepower (which factors in torque × engine speed) determines top-end performance and towing capability at higher RPM. This is why diesel trucks — built for high torque at low RPM — excel at towing, while high-revving sports car engines prioritize horsepower for top speed.

Torque Wrench Settings

Manufacturers specify exact torque values (in ft-lbs or N·m) for critical fasteners like lug nuts and head bolts. Under-tightening risks parts loosening under vibration; over-tightening can strip threads or warp components — which is why torque wrenches, not just "hand-tight plus a bit," are standard in automotive and mechanical assembly.

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Marcus Webb

Verified Author

Engineering & Applied Mathematics Specialist

Marcus specializes in structural analysis, fluid mechanics, and construction calculations, verifying every formula against ASCE standards, ACI codes, and published engineering handbooks. Content lead at CalculatorApp.me.

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