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Torque or Moment of Force - Online Converter

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Torque or moment - the tendency of a force to rotate an object around an axis or a point - is defined as

  • the product of the force and the distance from the point or axis to the force vector

Torque can be expressed as

T = F a                               (1)


T = moment - or torque of the force (Nm, lbf ft)

F = applied force (N, lbf)

a = moment arm (m, ft)

Example - Torque exerted by a Wrench

A force of 250 N is acting at the end of a 30 cm long wrench. The torque exerted can be calculated as

T = (250 N) (30 cm) (0.01 cm/m)

   = 75 Nm

Moment Converter

The calculator below can be used to convert between some common moment or torque units


Law of Lever

The Law of Lever is a torque balance on a stationary object and can be expressed as

F1 / F2 = L2 / L1                                         (2)


F = force (N, lbf)

L = distance from the point (1 or 2) to the force vector (m, ft)

(1) can be transformed to

F1 L1 = F2 L2                                       (2b)


T1 = T2                                           (2c)

Example - Lever

A person with a mass of 90 kg is standing on one side of a lever 2 m from the balance point. The force on the other side of lever 0.5 m from the balance point can be calculated by modifying (2) to

F2 = F1 L1 / L2

    = (90 kg) (9.81 m/s2) (2 m) / (0.5 m)

    = 3531 N

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Related Topics


The relationships between forces, acceleration, displacement, vectors, motion, momentum, energy of objects and more.

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