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Newton (unit)

The newton (symbol: N) is the unit of force in the International System of Units (SI). It is defined as 1 kg⋅m/s2, the force which gives a mass of 1 kilogram an acceleration of 1 metre per second per second. It is named after Isaac Newton in recognition of his work on classical mechanics, specifically Newton's second law of motion.

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

Definition

A newton is defined as 1 kg⋅m/s2 (it is a derived unit which is defined in terms of the SI base units).[1] One newton is therefore the force needed to accelerate one kilogram of mass at the rate of one metre 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 in velocity per unit of time, i.e. an increase in velocity by 1 metre per second every second.

In 1946, the Conférence Générale des Poids et Mesures (CGPM) Resolution 2 standardized the unit of force in the MKS system of units to be the amount needed to accelerate 1 kilogram of mass at the rate of 1 metre per second squared. In 1948, the 9th CGPM Resolution 7 adopted the name newton for this force.[3] The MKS system then became the blueprint for today's SI system of units. The newton thus became the standard unit of force in the Système international d'unités (SI), or International System of Units.

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

In more formal terms, Newton's second law of motion states that the force exerted on an object is directly proportional to the acceleration hence acquired by that object, thus:[4]

 

where   represents the mass of the object undergoing an acceleration  . As a result, the newton may be defined in terms of the kilogram ( ), metre ( ), and second ( ) as

 

Examples

At average gravity on Earth (conventionally, g = 9.80665 m/s2), a kilogram mass exerts a force of about 9.8 newtons. An average-sized apple exerts about one newton of force at Earth's surface, which we measure as the apple's weight on Earth.[5]

1 N = 0.10197 kg × 9.80665 m/s2    (0.10197 kg = 101.97 g).

The weight of an average adult exerts a force of about 608 N.

608 N = 62 kg × 9.80665 m/s2 (where 62 kg is the world average adult mass).[6]

Kilonewtons

 
A carabiner used in rock 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.

It is common to see forces expressed in kilonewtons (kN), where 1 kN = 1000 N. For example, the tractive effort of a Class Y steam train locomotive and the thrust of an F100 jet engine are both around 130 kN.

One kilonewton, 1 kN, is equivalent to 102.0 kgf, or about 100 kg of load under Earth gravity.

1 kN = 102 kg × 9.81 m/s2.

So for example, a platform that shows it is rated at 321 kilonewtons (72,000 lbf) will safely support a 32,100-kilogram (70,800 lb) load.

Specifications in kilonewtons are common in safety specifications for:

Conversion factors

Units of force
newton dyne kilogram-force,
kilopond
pound-force poundal
1 N ≡ 1 kg⋅m/s2 = 105 dyn ≈ 0.10197 kp ≈ 0.22481 lbf ≈ 7.2330 pdl
1 dyn = 10–5 N  1 g⋅cm/s2  1.0197×10−6 kp  2.2481×10−6 lbf  7.2330×10−5 pdl
1 kp = 9.80665 N = 980665 dyn  gn × 1 kg  2.2046 lbf  70.932 pdl
1 lbf  4.448222 N  444822 dyn  0.45359 kp  gn × 1 lb  32.174 pdl 
1 pdl  0.138255 N  13825 dyn  0.014098 kp  0.031081 lbf  1 lb⋅ft/s2
The value of gn as used in the official definition of the kilogram-force (9.80665 m/s2) is used here for all gravitational units.
Three approaches to units of mass and force or weight[7][8]
Base Force Weight Mass
2nd law of motion m = F/a F = Wa/g F = ma
System BG GM EE M AE CGS MTS SI
Acceleration (a) ft/s2 m/s2 ft/s2 m/s2 ft/s2 Gal m/s2 m/s2
Mass (m) slug hyl pound-mass kilogram pound gram tonne kilogram
Force (F),
weight (W)
pound kilopond pound-force kilopond poundal dyne sthène newton
Pressure (p) pound per square inch technical atmosphere pound-force per square inch standard atmosphere poundal per square foot barye pieze pascal
Standard prefixes for the metric units of measure (multiples)
Prefix name N/A deca hecto kilo mega giga tera peta exa zetta yotta ronna quetta
Prefix symbol da h k M G T P E Z Y R Q
Factor 100 101 102 103 106 109 1012 1015 1018 1021 1024 1027 1030
Standard prefixes for the metric units of measure (submultiples)
Prefix name N/A deci centi milli micro nano pico femto atto zepto yocto ronto quecto
Prefix symbol d c m μ n p f a z y r q
Factor 100 10−1 10−2 10−3 10−6 10−9 10−12 10−15 10−18 10−21 10−24 10−27 10−30

See also

References

  1. ^ The International System of Units – 9th edition – Text in English (9 ed.). Bureau International des Poids et Mesures (BIPM). 2019. p. 137.
  2. ^ "Newton | unit of measurement". Encyclopedia Britannica. from the original on 2019-09-27. Retrieved 2019-09-27.
  3. ^ International Bureau of Weights and Measures (1977), The International System of Units (3rd ed.), U.S. Dept. of Commerce, National Bureau of Standards, p. 17, ISBN 0745649742, from the original on 2016-05-11, retrieved 2015-11-15.
  4. ^ . The International System of Units (SI). International Bureau of Weights and Measures. 2006. Archived from the original on 2007-06-18.
  5. ^ Whitbread BSc (Hons) MSc DipION, Daisy. "How much is 100 grams?". from the original on 24 October 2017. Retrieved 22 September 2020.
  6. ^ Walpole, Sarah Catherine; Prieto-Merino, David; Edwards, Phillip; Cleland, John; Stevens, Gretchen; Roberts, Ian (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. ^ Comings, E. W. (1940). "English Engineering Units and Their Dimensions". Industrial & Engineering Chemistry. 32 (7): 984–987. doi:10.1021/ie50367a028.
  8. ^ 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.

newton, unit, newtons, redirects, here, snack, newtons, cookie, newton, symbol, unit, force, international, system, units, defined, force, which, gives, mass, kilogram, acceleration, metre, second, second, named, after, isaac, newton, recognition, work, classi. Newtons redirects here For the snack see Newtons cookie The newton symbol N is the unit of force in the International System of Units SI It is defined as 1 kg m s2 the force which gives a mass of 1 kilogram an acceleration of 1 metre per second per second It is named after Isaac Newton in recognition of his work on classical mechanics specifically Newton s second law of motion newtonVisualization of one newton of forceGeneral informationUnit systemSIUnit offorceSymbolNNamed afterSir Isaac NewtonConversions1 N in is equal to SI base units 1 kg m s 2 CGS units 105 dyn Imperial units 0 224809 lbf Contents 1 Definition 2 Examples 3 Kilonewtons 4 Conversion factors 5 See also 6 ReferencesDefinition EditA newton is defined as 1 kg m s2 it is a derived unit which is defined in terms of the SI base units 1 One newton is therefore the force needed to accelerate one kilogram of mass at the rate of one metre 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 in velocity per unit of time i e an increase in velocity by 1 metre per second every second In 1946 the Conference Generale des Poids et Mesures CGPM Resolution 2 standardized the unit of force in the MKS system of units to be the amount needed to accelerate 1 kilogram of mass at the rate of 1 metre per second squared In 1948 the 9th CGPM Resolution 7 adopted the name newton for this force 3 The MKS system then became the blueprint for today s SI system of units The newton thus became the standard unit of force in the Systeme international d unites SI or International System of Units The newton is named after Isaac Newton As with every SI unit named for a person its symbol starts with an upper case letter N but when written in full it follows the rules for capitalisation of a common noun i e newton becomes capitalised at the beginning of a sentence and in titles but is otherwise in lower case In more formal terms Newton s second law of motion states that the force exerted on an object is directly proportional to the acceleration hence acquired by that object thus 4 F m a displaystyle F ma where m displaystyle m represents the mass of the object undergoing an acceleration a displaystyle a As a result the newton may be defined in terms of the kilogram kg displaystyle text kg metre m displaystyle text m and second s displaystyle text s as 1 N 1 kg m s 2 displaystyle 1 text N 1 frac text kg cdot text m text s 2 Examples EditAt average gravity on Earth conventionally g 9 80665 m s2 a kilogram mass exerts a force of about 9 8 newtons An average sized apple exerts about one newton of force at Earth s surface which we measure as the apple s weight on Earth 5 1 N 0 10197 kg 9 80665 m s2 0 10197 kg 101 97 g The weight of an average adult exerts a force of about 608 N 608 N 62 kg 9 80665 m s2 where 62 kg is the world average adult mass 6 Kilonewtons Edit A carabiner used in rock 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 It is common to see forces expressed in kilonewtons kN where 1 kN 1000 N For example the tractive effort of a Class Y steam train locomotive and the thrust of an F100 jet engine are both around 130 kN One kilonewton 1 kN is equivalent to 102 0 kgf or about 100 kg of load under Earth gravity 1 kN 102 kg 9 81 m s2 So for example a platform that shows it is rated at 321 kilonewtons 72 000 lbf will safely support a 32 100 kilogram 70 800 lb load Specifications in kilonewtons are common in safety specifications for the holding values of fasteners Earth anchors and other items used in the building industry working loads in tension and in shear rock climbing equipment thrust of rocket engines Jet engines and launch vehicles clamping forces of the various moulds in injection moulding machines used to manufacture plastic parts Conversion factors EditUnits of force vte newton dyne kilogram force kilopond pound force poundal1 N 1 kg m s2 105 dyn 0 10197 kp 0 22481 lbf 7 2330 pdl1 dyn 10 5 N 1 g cm s2 1 0197 10 6 kp 2 2481 10 6 lbf 7 2330 10 5 pdl1 kp 9 80665 N 980665 dyn gn 1 kg 2 2046 lbf 70 932 pdl1 lbf 4 448222 N 444822 dyn 0 45359 kp gn 1 lb 32 174 pdl 1 pdl 0 138255 N 13825 dyn 0 014098 kp 0 031081 lbf 1 lb ft s2The value of gn as used in the official definition of the kilogram force 9 80665 m s2 is used here for all gravitational units Three approaches to units of mass and force or weight 7 8 vte Base Force Weight Mass2nd law of motion m F a F W a g F m aSystem BG GM EE M AE CGS MTS SIAcceleration a ft s2 m s2 ft s2 m s2 ft s2 Gal m s2 m s2Mass m slug hyl pound mass kilogram pound gram tonne kilogramForce F weight W pound kilopond pound force kilopond poundal dyne sthene newtonPressure p pound per square inch technical atmosphere pound force per square inch standard atmosphere poundal per square foot barye pieze pascalStandard prefixes for the metric units of measure multiples vte Prefix name N A deca hecto kilo mega giga tera peta exa zetta yotta ronna quettaPrefix symbol da h k M G T P E Z Y R QFactor 100 101 102 103 106 109 1012 1015 1018 1021 1024 1027 1030Standard prefixes for the metric units of measure submultiples vte Prefix name N A deci centi milli micro nano pico femto atto zepto yocto ronto quectoPrefix symbol d c m m n p f a z y r qFactor 100 10 1 10 2 10 3 10 6 10 9 10 12 10 15 10 18 10 21 10 24 10 27 10 30See also EditForce gauge International System of Units SI Joule SI unit of energy 1 newton exerted over a distance of 1 metre Kilogram force force exerted by Earth s gravity at sea level on one kilogram of mass Kip unit Pascal SI unit of pressure 1 newton acting on an area of 1 square metre Orders of magnitude force Pound force Sthene Newton metre SI unit of torqueReferences Edit The International System of Units 9th edition Text in English 9 ed Bureau International des Poids et Mesures BIPM 2019 p 137 Newton unit of measurement Encyclopedia Britannica Archived from the original on 2019 09 27 Retrieved 2019 09 27 International Bureau of Weights and Measures 1977 The International System of Units 3rd ed U S Dept of Commerce National Bureau of Standards p 17 ISBN 0745649742 archived from the original on 2016 05 11 retrieved 2015 11 15 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 from the original on 2007 06 18 Whitbread BSc Hons MSc DipION Daisy How much is 100 grams Archived from the original on 24 October 2017 Retrieved 22 September 2020 Walpole Sarah Catherine Prieto Merino David Edwards Phillip Cleland John Stevens Gretchen Roberts Ian 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 Comings E W 1940 English Engineering Units and Their Dimensions Industrial amp Engineering Chemistry 32 7 984 987 doi 10 1021 ie50367a028 Klinkenberg Adrian 1969 The American Engineering System of Units and Its Dimensional Constant gc Industrial amp Engineering Chemistry 61 4 53 59 doi 10 1021 ie50712a010 Retrieved from https en wikipedia org w index php title Newton unit amp oldid 1129529560, wikipedia, wiki, book, books, library,

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