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Torque Calculator

Find

90° is a push straight across the lever, which gives the most torque.

Try an example

Torque

60 N·m

44.25 lb·ft · 531 lb·in · 6.118 kgf·m

τ = F × r × sin θ = 200 N × 0.3 m × sin 90° = 60 N·m

Calculate torque from a force and lever arm at any angle, or the force or wrench length needed for a torque spec, in newton-meters, pound-feet, pound-inches and kilogram-force meters.

Formula

τ=F×r×sinθτ = \text{F} \times \text{r} \times \text{sin} \theta
F=τ÷(r×sinθ)\text{F} = τ \div (\text{r} \times \text{sin} \theta )
r=τ÷(F×sinθ)\text{r} = τ \div (\text{F} \times \text{sin} \theta )
1lb⋅ft=1.3558N⋅m1 \text{lb}·\text{ft} = 1.3558 \text{N}·\text{m}

Worked Example

FindForce needed
Torque spec100 lb·ft (lug nuts)
Wrench18 in
Angle90°
Result
Force66.67 lbf (296.5 N)
Equivalent weight30.24 kg

An 18 in wrench is 1.5 ft long, so reaching 100 lb·ft takes 100 ÷ 1.5 = 66.67 lbf pushed straight across the handle at its end. Holding the handle halfway along would double that.

Frequently Asked Questions

Is torque in lb·ft the same as ft·lb?

The number is the same. By convention pound-feet (lb·ft) is used for torque and foot-pounds (ft·lb) for work and energy, but tools and repair manuals often write ft-lb for torque. One lb·ft is 1.3558 N·m and 12 lb·in.

Why does the angle matter?

Only the part of the force at right angles to the lever turns it. At 90° all of it counts; at 30° only sin 30° = 50% does, so the same push gives half the torque. Pushing along the lever, at 0°, produces none.

Does a longer wrench give more torque?

For the same force, yes: torque grows in proportion to the lever arm, so a handle twice as long needs half the push. That is why a breaker bar frees stuck bolts, and why the lever arm is measured from the center of the bolt to where your hand pushes.