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Newton (unit)

From Wikipedia, the free encyclopedia
Unit of force in physics
"Newtons" redirects here. For the snack, seeNewtons (cookie).

newton
Visualization of one newton of force
General information
Unit systemSI
Unit offorce
SymbolN
Named afterSir Isaac Newton
Conversions
1 Nin ...... is equal to ...
   SI base units   1kgms−2
   CGS units   105 dyn
   Imperial units   0.224809 lbf

Thenewton (symbol:N) is the unit offorce in theInternational System of Units (SI). Expressed in terms ofSI base units, it is 1 kg⋅m/s2, the force that accelerates a mass of one kilogram at one metre per second squared.

The unit is named afterIsaac Newton in recognition of his work onclassical mechanics, specificallyhis second law of motion.

Definition

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A newton is defined as 1 kg⋅m/s2 (it is a named derived unit defined in terms of theSI base units).[1]: 137  One newton is, therefore, the force needed toaccelerate onekilogram of mass at the rate of onemetre per second squared in the direction of the applied force.[2]

The units "metre per second squared" can be understood as measuring a rate of change invelocity per unit of time, i.e. an increase in velocity by one metre per second every second.[2]

In 1946, theGeneral Conference on Weights and Measures (CGPM) Resolution 2 standardized the unit of force in theMKS system of units to be the amount needed to accelerate one kilogram of mass at the rate of one metre per second squared. In 1948, the 9th CGPM Resolution 7 adopted the namenewton for this force.[3] The MKS system then became the blueprint for today's SI system of units.[4] The newton thus became the standard unit of force in theSystème international d'unités (SI), orInternational System of Units.[3]

The newton is named afterIsaac Newton. As with everySI unit named after a person, its symbol starts with anupper case letter (N), but when written in full, it follows the rules for capitalisation of acommon noun; i.e.,newton becomes capitalised at the beginning of a sentence and in titles but is otherwise in lower case.

The connection to Newton comes fromNewton's second law of motion, which states that the force exerted on an object is directly proportional to the acceleration hence acquired by that object, thus:[5]F=ma,{\displaystyle F=ma,}wherem{\displaystyle m} represents themass of the object undergoing an accelerationa{\displaystyle a}. When using the SI unit of mass, the kilogram (kg), and SI units for distancemetre (m), and time,second (s) we arrive at the SI definition of the newton: 1 kg⋅m/s2.

Examples

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At averagegravity on Earth (conventionally,gn{\displaystyle g_{\text{n}}} =9.80665 m/s2), a kilogram mass exerts a force of about 9.81 N.

  • An average-sizedapple with mass 200 g exerts about two newtons of force at Earth's surface, which we measure as the apple'sweight on Earth.
0.200 kg×9.80665 m/s2=1.961 N.{\displaystyle 0.200{\text{ kg}}\times 9.80665{\text{ m/s}}^{2}=1.961{\text{ N}}.}
62 kg×9.80665 m/s2=608 N{\displaystyle 62{\text{ kg}}\times 9.80665{\text{ m/s}}^{2}=608{\text{ N}}} (where 62 kg is the world average adult mass).[6]

Kilonewtons

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Acarabiner used inrock climbing, with a safety rating of 26 kN when loaded along the spine with the gate closed, 8 kN when loaded perpendicular to the spine, and 10 kN when loaded along the spine with the gate open.

Large forces may be expressed in kilonewtons (kN), where1 kN = 1000 N. For example, thetractive effort ofa Class Y steam train locomotive and thethrust of anF100 jet engine are both around 130 kN.[citation needed]

Climbing ropes are tested by assuming a human can withstand a fall that creates 12 kN of force. The ropes must not break when tested against 5 such falls.[7]: 11 

Conversion factors

[edit]
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.
Three approaches to units of mass and force or weight[8][9]
BaseForceWeightMass
2nd law of motionm =F/aF =Wa/gF =ma
SystemBGGMEEMAECGSMTSSI
Acceleration (a)ft/s2m/s2ft/s2m/s2ft/s2Galm/s2m/s2
Mass (m)slughylpound-masskilogrampoundgramtonnekilogram
Force (F),
weight (W)
poundkilopondpound-forcekilopondpoundaldynesthènenewton
Pressure (p)pound per square inchtechnical atmospherepound-force per square inchstandard atmospherepoundal per square footbaryepiezepascal
SI multiples of newton (N)
SubmultiplesMultiples
ValueSI symbolNameValueSI symbolName
10−1 NdNdecinewton101 NdaNdecanewton
10−2 NcNcentinewton102 NhNhectonewton
10−3 NmNmillinewton103 NkNkilonewton
10−6 NμNmicronewton106 NMNmeganewton
10−9 NnNnanonewton109 NGNgiganewton
10−12 NpNpiconewton1012 NTNteranewton
10−15 NfNfemtonewton1015 NPNpetanewton
10−18 NaNattonewton1018 NENexanewton
10−21 NzNzeptonewton1021 NZNzettanewton
10−24 NyNyoctonewton1024 NYNyottanewton
10−27 NrNrontonewton1027 NRNronnanewton
10−30 NqNquectonewton1030 NQNquettanewton

See also

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References

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  1. ^Bureau International des Poids et Mesures (2019).The International System of Units (SI)(PDF) (9 ed.).Bureau International des Poids et Mesures (BIPM). p. 137.Archived from the original on 30 September 2021. Retrieved22 September 2021.
  2. ^ab"Newton | unit of measurement".Encyclopædia Britannica. 17 December 2020.Archived from the original on 27 September 2019. Retrieved27 September 2019.
  3. ^abThe International System of Units (SI) (1977 ed.).U.S. Department of Commerce,National Bureau of Standards. 1977. p. 17.ISBN 9282220451. Archived fromthe original on 11 May 2016. Retrieved15 November 2015.
  4. ^David B. Newell; Eite Tiesinga, eds. (2019).The International System of Units (SI)(PDF) (NIST Special publication 330, 2019 ed.). Gaithersburg, MD:NIST. Retrieved30 November 2019.
  5. ^"Table 3. Coherent derived units in the SI with special names and symbols".The International System of Units (SI).International Bureau of Weights and Measures. 2006. Archived fromthe original on 18 June 2007.
  6. ^Walpole, Sarah Catherine; Prieto-Merino, David; et al. (18 June 2012)."The weight of nations: an estimation of adult human biomass".BMC Public Health.12 (12): 439.doi:10.1186/1471-2458-12-439.PMC 3408371.PMID 22709383.
  7. ^Bright, Casandra Marie. "A History of Rock Climbing Gear Technology and Standards." (2014).
  8. ^Comings, E. W. (1940). "English Engineering Units and Their Dimensions".Industrial & Engineering Chemistry.32 (7):984–987.doi:10.1021/ie50367a028.
  9. ^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.
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