ConverterHub

Torque Calculator

Find the torque.

Result

38.97 N·m

How it is calculated

Torque is the turning effect of a force around a pivot. The tool computes τ = F × r × sin θ, where F is the force in newtons (N), r is the lever arm length in metres (m), the distance from the pivot to where the force is applied, and θ is the angle in degrees between the force direction and the lever arm. The result is in newton-metres (N·m). If you leave the angle empty the tool assumes 90 degrees, a push perpendicular to the lever, which gives the maximum torque F × r. At 0 or 180 degrees the force points along the lever and the torque is zero. The result is rounded to two decimals, and a negative sign simply indicates the opposite turning direction.

Worked example

A 150 N force is applied to a wrench at a point 0.3 m from the bolt, with the force at 60 degrees to the handle. First sin 60° = 0.8660. Then τ = 150 × 0.3 × 0.8660 = 45 × 0.8660 = 38.97 N·m. Had the pull been perpendicular (90 degrees), the torque would be the full 45.00 N·m. Tilting the force by 30 degrees costs about 13% of the turning effect.

Try this example →

Common mistakes

  • Entering the lever arm in centimetres or millimetres instead of metres, which makes the answer 100 or 1,000 times too large.
  • Measuring the angle from the wrong line: it is the angle between the force and the lever arm, not between the force and the floor.
  • Entering the angle in radians when the tool expects degrees.
  • Entering a mass in kilograms in the force field; weight in newtons is mass times 9.81.
  • Confusing N·m of torque with joules of energy; they have the same unit but are different physical quantities.

About this calculator

This calculator finds torque using τ = F × r × sin(θ) — the rotational force produced by a force applied at a distance from a pivot point, at a given angle. Change the angle and you can see how the same push produces less turning effect the further it drifts from perpendicular.

Mechanics use it to check bolt tightening specs, engineers use it when sizing motors and gearboxes, and physics students use it for lever and rotation problems. Anything with a wrench, a hinge, or a spinning shaft involves torque.

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