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.

Tonne-force

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

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.

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.

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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