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Kilogram-force

From Wikipedia, the free encyclopedia
Weight on earth of a one-kilogram mass
"kgf" redirects here. For other uses, seeKGF (disambiguation)."Kilopond" redirects here; not to be confused withKilopound.
kilogram-force
Unit systemGravitational metric system
Unit ofForce
Symbolkgf
Conversions
1 kgfin ...... is equal to ...
   SI units   9.806650 N
   CGS units   980,665.0 dyn
   British Gravitational units   2.204623 lbf
   Absolute English units   70.93164 pdl

Thekilogram-force (kgf orkgF), orkilopond (kp, fromLatin:pondus,lit.'weight'), is a non-standardgravitational metric unit offorce. It is not accepted for use with the International System of Units (SI)[1] and is deprecated for most uses.[citation needed] The kilogram-force is equal to the magnitude of the force exerted on onekilogram ofmass in a9.80665 m/s2 gravitational field (standard gravity, a conventional value approximating the average magnitude of gravity on Earth).[2] That is, it is theweight of a kilogram under standard gravity. One kilogram-force is defined as9.80665 N.[3][4] Similarly, a gram-force is9.80665 mN, and a milligram-force is9.80665 μN.

History

[edit]

The gram-force and kilogram-force were never well-defined units until theCGPM adopted astandard acceleration of gravity of 9.80665 m/s2 for this purpose in 1901,[5] though they had been used in low-precision measurements of force before that time. Even then, the proposal to define kilogram-force as a standard unit of force was explicitly rejected.[6] Instead, thenewton was proposed in 1913[7] and accepted in 1948.[8]The kilogram-force has never been a part of theInternational System of Units (SI), which was introduced in 1960. The SI unit of force is thenewton.

Prior to this, the units were widely used in much of the world. They are still in use for some purposes; for example, they are used to specify tension of bicyclespokes,[9]draw weight of bows inarchery, and tensile strength ofelectronicsbond wire,[10] for informal references to pressure (as the technically incorrectkilogram per square centimetre, omitting-force, the kilogram-force per square centimetre being thetechnical atmosphere, the value of which is very near those of both thebar and thestandard atmosphere), and to define the "metric horsepower" (PS) as 75 metre-kiloponds per second.[3] In addition, the kilogram force was the standard unit used forVickers hardness testing.[11]

Three approaches to metric units of mass and force or weight[12][13]
BaseForceWeightMass
2nd law of motionm =F/aF =Wa/gF =ma
SystemGMMCGSMTSSI
Acceleration (a)m/s2m/s2Galm/s2m/s2
Mass (m)hylkilogramgramtonnekilogram
Force (F),
weight (W)
kilopondkiloponddynesthènenewton
Pressure (p)technical atmospherestandard atmospherebaryepiezepascal

In 1940s, Germany, the thrust of a rocket engine was measured in kilograms-force,[citation needed] in the Soviet Union it remained the primary unit for thrust in the Russian space program until at least the late 1980s.[citation needed] Dividing the thrust in kilograms-force on the mass of an engine or a rocket in kilograms conveniently gives thethrust to weight ratio, dividing the thrust on propellant consumption rate (mass flow rate) in kilograms per second gives thespecific impulse in seconds.

The term "kilopond" has been declared obsolete.[14]

Related units

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Thetonne-force,metric ton-force,megagram-force, andmegapond (Mp) are each 1000 kilograms-force.

Thedecanewton ordekanewton (daN), exactly 10 N, is used in some fields as an approximation to the kilogram-force, because it is close to the 9.80665 N of 1 kgf.

The gram-force is11000 of a kilogram-force.

Units of force
newtondynekilogram-force,
kilopond
pound-forcepoundal
1 N 1 kg⋅m/s2= 105 dyn 0.10197 kgf 0.22481 lbF 7.2330 pdl
1 dyn= 10−5 N 1 g⋅cm/s2 1.0197×10−6 kgf 2.2481×10−6 lbF 7.2330×10−5 pdl
1 kgf= 9.80665 N= 980665 dyn gn × 1 kg 2.2046 lbF 70.932 pdl
lbF 4.448222 N 444822 dyn 0.45359 kgf gn × lb 32.174 pdl
1 pdl 0.138255 N 13825 dyn 0.014098 kgf 0.031081 lbF 1 lb⋅ft/s2
The value ofgn (9.80665 m/s2) as used in the official definition of the kilogram-force is used here for all gravitational units.

See also

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References

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  1. ^NIST Guide to the SI, Chapter 5: Units Outside the SI
  2. ^The international system of units (SI)Archived 2016-06-03 at theWayback MachineUnited States Department of Commerce,NIST Special Publication 330, 2008, p. 52
  3. ^abNISTGuide for the Use of the International System of Units (SI) Special Publication 811, (1995) page 51
  4. ^BIPM SI brochureArchived 2004-06-15 at theWayback Machine, chapter 2.2.2.
  5. ^Resolution of the 3rd CGPM (1901)
  6. ^Proceedings of the 3rd General Conference on Weights and Measures, 1901, pages 62–64 and 68, (french)
  7. ^Proceedings of the 5th General Conference on Weights and Measures, 1913, pages 51 and 56, (french)
  8. ^"Resolution 7 of the 9th meeting of the CGPM (1948)". Archived fromthe original on 2020-06-22. Retrieved2021-03-02.
  9. ^"Balancing wheel tension with the TM-1 Spoke Tension Metre". Cyclingnews. Retrieved2013-09-03.The recommended tension for spokes in bicycle wheels can be as low as 80 Kilograms force (Kfg) and as high as 230 Kilograms force. Author=Park Tool
  10. ^Harman, George G. (2010).Wire Bonding in Microelectronics (3rd ed.). New York: McGraw-Hill. p. 408.ISBN 978-0-07-164265-1.OCLC 609421363.Breaking load (BL): The strength of a wire and its actual force (usually given in grams, grams-force, mN, etc.) required to break a particular wire in a tensile pull. It is not tensile strength, which by definition is the force per unit area.
  11. ^Callister, William D. Jr. (2010).Materials Science and Engineering: An Introduction. David G. Rethwisch (8th ed.). Hoboken, NJ: John Wiley & Sons, Inc.ISBN 978-0-470-41997-7.OCLC 401168960.In the past the units for Vickers hardness were kg/mm2; in Table 12.6 we use the SI units of GPa.
  12. ^Comings, E. W. (1940). "English Engineering Units and Their Dimensions".Industrial & Engineering Chemistry.32 (7):984–987.doi:10.1021/ie50367a028.
  13. ^Klinkenberg, Adrian (1969). "The American Engineering System of Units and Its Dimensional Constant gc".Industrial & Engineering Chemistry.61 (4):53–59.doi:10.1021/ie50712a010.
  14. ^European Economic Community, Council Directive of 18 October 1971 on the approximation of the laws of the Member States relating to units of measurement
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