# Torque, or Moment - online Converter

## Torque, or moment, of a force about a particular point

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Torque, or moment, of a force about a particular point is defined as

*the product of the force and the distance from the point to the force vector*

Expressed mathematically:

*M = F a (1)*

*where*

*M = moment of the force (Nm, lb _{f} ft)*

*F = the applied force (N, lb _{f})*

*a = the 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 calculted as

*M = (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

F_{1}/ F_{2}= L_{2}/ L_{1}(2)

where

F = force (N, lb_{f})

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

(1) can be transformed to

F_{1}L_{1}= F_{2}L_{2}(2b)

or

T_{1}= T_{2}(1c)

where

T = torque or moment (Nm, lb_{f }ft)

### 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

*F _{2} = F_{1} L_{1} / L_{2 }*

* = (90 kg) (9.81 m/s ^{2}) (2 m) / (0.5 m)*

* = 3531 N*

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