Ton-force

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 t_f)^{[note 2]} is equal to the weight of one (metric) 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 Mg_f) 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
   	= 0.89285714 long tons-force

10. 1 short ton-force	= 2000 lb × ⁠9.80665/0.3048⁠ ft/s2
    	= ⁠24516625/381⁠ pdl
    	≈ 64348.09711 pdl