# Ton-force

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A ton-force is one of various units of force defined as the weight of one ton due to standard gravity. [note 1] The precise definition depends on the definition of ton used.

In physics, a force is any interaction that, when unopposed, will change the motion of an object. A force can cause an object with mass to change its velocity, i.e., to accelerate. Force can also be described intuitively as a push or a pull. A force has both magnitude and direction, making it a vector quantity. It is measured in the SI unit of newtons and represented by the symbol F.

In science and engineering, the weight of an object is related to the amount of force acting on the object, either due to gravity or to a reaction force that holds it in place.

## Tonne-force

The tonne-force (tf or tf) [note 2] is equal to the weight of one tonne.

The tonne, commonly referred to as the metric ton in the United States and Canada, is a non-SI metric unit of mass equal to 1,000 kilograms or one megagram. It is equivalent to approximately 2,204.6 pounds, 1.102 short tons (US) or 0.984 long tons (UK). Although not part of the SI, the tonne is accepted for use with SI units and prefixes by the International Committee for Weights and Measures.

 one tonne-force = 1000 kilograms-force (kgf) = 9.80665 kilonewtons (kN) ≈ 2204.623 pounds-force (lbf) [note 3] ≈ 0.9842065 long tons-force [note 4] ≈ 1.1023113 short tons-force [note 5] ≈ 70931.64 poundals (pdl) [note 6]

## Long ton-force

The long ton-force is equal to the weight of one long ton.

Long ton, also known as the imperial ton or displacement ton, is the name for the unit called the "ton" in the avoirdupois system of weights or Imperial system of measurements. It was standardised in the thirteenth century and is used in the United Kingdom and several other British Commonwealth of Nations countries alongside the mass-based metric tonne defined in 1799.

 one long ton-force = 2240 lbf = 1016.0469088 kgf = 9.96401641818352 kN = 1.12 short tons-force [note 7] ≈ 72069.87 pdl [note 8]

## Short ton-force

The short ton-force is equal to the weight of one short ton.

The short ton is a unit of mass equal to 2,000 pounds-mass. The unit is most commonly used in the United States where it is known simply as the ton.

 one short ton-force = 2000 lbf = 907.18474 kgf = 8.896443230521 kN ≈ 0.892857 long tons-force [note 9] ≈ 64348.10 pdl [note 10]

## Notes

1. All calculations on this page assume the following definition of standard gravity, g0.
g0 = 9.80665 m/s2
2. The tonne-force, also known as the metric ton-force, is equivalent to the megagram-force (Mgf or Mgf) and the megapond (Mp).
3.  1 pound = 0.45359237 kg ∴ 1 tonne-force = 1000/0.45359237 lbf ≈ 2204.62262184887 lbf
4.  1 long ton = 1.0160469088 t ∴ 1 tonne-force = 1/1.0160469088 long tons-force ≈ 0.98420652761106 long tons-force
5.  1 short ton = 0.90718474 t ∴ 1 tonne-force = 1/0.90718474 short tons-force ≈ 1.1023113109244 short tons-force
6.  1 pdl = 0.138254954376 N ∴ 1 tonne-force = 9806.65/0.138254954376 pdl ≈ 70931.635283968 pdl
7.  1 long ton-force = 2240/2000 short tons-force = 1.12 short tons-force
8.  g0 = 9.80665/0.3048 ft/s2 ∴ 1 long ton-force = 2240 lb × 9.80665/0.3048 ft/s2 = 27458620/381 pdl ≈ 72069.868766404 pdl
9.  1 short ton-force = 2000/2240 long tons-force = 25/28 long tons-force ≈ 0.892857143 long tons-force
10.  1 short ton-force = 2000 lb × 9.80665/0.3048 ft/s2 = 24516625/381 pdl ≈ 64348.09711 pdl

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