Torque Calculator
Free torque calculator — τ = F × r × sin(θ) in N·m, lb·ft, lb·in, and kg·cm, with angle efficiency shown.
Free torque calculator — τ = F × r × sin(θ) in N·m, lb·ft, lb·in, and kg·cm, with angle efficiency shown.
Convert a torque spec between N·m and lb-ft before setting a torque wrench.
Find the force needed at a given distance, or how much a longer lever helps.
Work with the angle term rather than assuming a perpendicular force.
Relate torque, speed and power when specifying a motor.
A low gear converts the same leg force into far more turning effort at the rear wheel, trading speed for the torque needed to climb.
Every lever you use is a torque argument: the further from the pivot you push, the less force it takes. It is why a stiff valve opens with a longer handle.
The turning effect of a force — force times the perpendicular distance from the pivot, measured in newton metres. Applying 20 N at 0.5 m from a bolt gives 10 N·m. The distance matters as much as the force, which is why a longer spanner loosens a stubborn bolt that a short one cannot: you are not stronger, you have more leverage.
Only the component of force perpendicular to the lever arm produces rotation, so torque is F × r × sin θ. Push straight along the spanner, at 0°, and you generate no torque at all — just a force trying to slide the tool off. Push at 90° and every newton counts. At 45° you lose about 30% of the effect, which is why awkward angles make jobs feel disproportionately hard.
Torque is turning force; power is the rate of doing work, equal to torque times rotational speed. An engine can produce high torque at low revs — good for pulling away and towing — while peak power arrives higher up the rev range. It is why a tractor and a sports car have very different characters despite comparable power figures.
Because torque is a proxy for the clamping force stretching the bolt. Too little and the joint loosens under vibration; too much and the bolt yields or the thread strips. Published torque specs assume a particular lubrication state — a lubricated thread reaches the same tension at noticeably lower torque than a dry one, so applying a dry spec to an oiled bolt over-tightens it.
One newton metre is about 0.738 pound-feet, and one pound-foot is 1.356 N·m. Also common is the kilogram-force metre, roughly 9.81 N·m. Watch for pound-feet versus foot-pounds — dimensionally identical and often used interchangeably, though strictly foot-pounds denotes energy and pound-feet denotes torque. Both appear on tools, so read the tool rather than the convention.
Torque equals moment of inertia times angular acceleration — the rotational counterpart of F = ma. Moment of inertia depends not just on mass but on how far that mass sits from the axis, which is why a flywheel with its mass at the rim resists speed changes far more than a solid disc of the same weight.