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{{Short description|Unit of force defined as the weight of one ton}}
A '''ton-force''' is one of various [[units of measurement|units]] of [[force]] defined as the [[weight]] of one [[ton]] due to [[standard gravity]].<ref group=note>All calculations on this page assume the following definition of standard gravity, ''g''<sub>0</sub>.
A '''ton-force''' is one of various [[units of measurement|units]] of [[force]] defined as the [[weight]] of one [[ton]] due to [[standard gravity]].<ref group=note>All calculations on this page assume the following definition of standard gravity, ''g''<sub>0</sub>.
:''g''<sub>0</sub> = {{val|9.80665|u=m/s2}}</ref> The precise definition depends on the definition of ''ton'' used.
:''g''<sub>0</sub> = {{val|9.80665|u=m/s2}}</ref> The precise definition depends on the definition of ''ton'' used.


==Tonne-force==
==Tonne-force==
The tonne-force (tf or t<sub>f</sub>)<ref group=note>The tonne-force, also known as the metric ton-force, is equivalent to the megagram-force (Mgf or Mg<sub>f</sub>) and the megapond (Mp).</ref> is equal to the weight of one [[tonne]].
The tonne-force (tf or t<sub>f</sub>)<ref group=note>The tonne-force, also known as the metric tone force, is equivalent to the megagram-force (Mgf or Mg<sub>f</sub>) and the megapond (Mp).</ref> is equal to the weight of one [[tonne]].

:{|
:{|
|-
|-
|rowspan=3 width=120 valign=top|one tonne-force&nbsp;
|rowspan=6 width=120 valign=top|one tonne-force&nbsp;
|= {{gaps|1|000}} [[kilogram-force|kilograms-force]] (kgf)
|= {{gaps|1|000}} [[kilogram-force|kilograms-force]] (kgf)
|-
|-
|= {{val|9.80665}} [[kilonewton]]s (kN)
|= {{val|9.80665}} [[kilonewton]]s (kN)
|-
|-
|≈ {{gaps|2|204.622}} [[Pound (force)|pounds-force]] (lbf)<ref group=note>
|≈ {{gaps|2|204.623}} [[Pound (force)|pounds-force]] (lbf)<ref group=note>
{|
{|
|-
|-
|1 [[pound (mass)|pound]] ||= {{val|0.45359237|u=kg}} ∴
⚫
|rowspan=2 width=20 valign=top|1&nbsp;tf&nbsp;
⚫
|= {{frac|{{gaps|1|000}}|{{val|0.45359237}}}}&nbsp;lbf
|-
|-
⚫
|rowspan=2 width=100 valign=top|1 tonne-force&nbsp;
|≈ {{val|{{#expr:1000/0.45359237}}}}&nbsp;lbf
⚫
|= {{sfrac|{{gaps|1|000}}|{{val|0.45359237}}}}&nbsp;lbf
|-
|≈ {{gaps|2|204.622|621|848|87}}&nbsp;lbf
|}</ref>
|-
|≈ {{gaps|0.984|2065}} long tons-force<ref group=note>
{|
|-
|-
|1 long ton ||= {{val|1.0160469088|u=t}} ∴
|-
|rowspan=2 width=100 valign=top|1 tonne-force&nbsp;
|= {{sfrac|{{gaps|1.016|046|9088}}}} long tons-force
|-
|≈ {{gaps|0.984|206|527|611|06}} long tons-force
|}</ref>
|-
|≈ {{gaps|1.102|3113}} short tons-force<ref group=note>
{|
|-
|1 short ton ||= {{val|0.90718474|u=t}} ∴
|-
|rowspan=2 width=100 valign=top|1 tonne-force&nbsp;
|= {{sfrac|{{val|0.90718474}}}} short tons-force
|-
|≈ {{gaps|1.102|311|310|9244}} short tons-force
|}</ref>
|-
|≈ {{gaps|70|931.64}} [[poundal]]s (pdl)<ref group=note>
{|
|-
|1 pdl ||= {{gaps|0.138|254|954|376}}&nbsp;N ∴
|-
|rowspan=2 width=100 valign=top|1 tonne-force&nbsp;
|= {{sfrac|{{gaps|9|806.65}}|{{gaps|0.138|254|954|376}}}} pdl
|-
|≈ {{gaps|70|931.635|283|968}} pdl
|}</ref>
|}</ref>
|}
|}
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==Long ton-force==
==Long ton-force==
The long ton-force is equal to the weight of one [[long ton]].
The long ton-force is equal to the weight of one [[long ton]].

:{|
:{|
|-
|-
|rowspan=3 width=120 valign=top|one long ton-force&nbsp;
|rowspan=5 width=120 valign=top|one long ton-force&nbsp;
|= {{gaps|2|240}}&nbsp;lbf
|= {{gaps|2|240}}&nbsp;lbf
|-
|-
Line 33: Line 68:
|-
|-
|= {{gaps|9.964|016|418|183|52|u=kN}}
|= {{gaps|9.964|016|418|183|52|u=kN}}
|-
|= 1.12 short tons-force<ref group=note>
{|
|-
|rowspan=2 width=100 valign=top|1 long ton-force&nbsp;
|= {{sfrac|{{gaps|2|240}}|{{gaps|2|000}}}} short tons-force
|-
|= 1.12 short tons-force
|}</ref>
|-
|≈ {{gaps|72|069.87}}&nbsp;pdl<ref group=note>
{|
|-
|''g''<sub>0</sub> ||= {{sfrac|{{val|9.80665}}|0.3048}}&nbsp;ft/s<sup>2</sup> ∴
|-
|rowspan=3 width=100 valign=top|1 long ton-force&nbsp;
|= {{gaps|2|240}}&nbsp;lb × {{sfrac|{{val|9.80665}}|0.3048}}&nbsp;ft/s<sup>2</sup>
|-
|= {{sfrac|{{gaps|27|458|620}}|381}}&nbsp;pdl
|-
|≈ {{gaps|72|069.868|766|404}}&nbsp;pdl
|}</ref>
|}
|}


==Short ton-force==
==Short ton-force==
The short ton-force is equal to the weight of one [[short ton]].
The short ton-force is equal to the weight of one [[short ton]].

:{|
:{|
|-
|-
|rowspan=3 width=120 valign=top|one short ton-force&nbsp;
|rowspan=5 width=120 valign=top|one short ton-force&nbsp;
|= {{gaps|2|000}}&nbsp;lbf
|= {{gaps|2|000}}&nbsp;lbf
|-
|-
Line 46: Line 102:
|-
|-
|= {{val|8.896443230521|u=kN}}
|= {{val|8.896443230521|u=kN}}
|-
|≈ {{gaps|0.892|857}} long tons-force<ref group=note>
{|
|-
|rowspan=3 width=100 valign=top|1 short ton-force&nbsp;
|= {{sfrac|{{gaps|2|000}}|{{gaps|2|240}}}} long tons-force
|-
|= {{sfrac|25|28}} long tons-force
|-
|≈ {{gaps|0.892|857|143}} long tons-force
|}</ref>
|-
|≈ {{gaps|64|348.10}}&nbsp;pdl<ref group=note>
{|
|-
|rowspan=3 width=100 valign=top|1 short ton-force&nbsp;
|= {{gaps|2|000}}&nbsp;lb × {{sfrac|{{val|9.80665}}|0.3048}}&nbsp;ft/s<sup>2</sup>
|-
|= {{sfrac|{{gaps|24|516|625}}|381}}&nbsp;pdl
|-
|≈ {{gaps|64|348.097|11}}&nbsp;pdl
|}</ref>
|}
|}


==Notes==
==Notes==
{{reflist|group=note}}
{{reflist|group=note}}

[[Category:Units of force]]

Latest revision as of 22:00, 17 April 2024

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

[edit]

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

[edit]

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

[edit]

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

[edit]
  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 tone 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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