Newton (unit)

 The newton (symbol: N) is the International System of Units (SI) derived unit of force. 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 system	SI derived unit
Unit of	Force
Symbol	N
Named after	Sir Isaac Newton
Conversions
1 N in ...	... is equal to ...
SI base units	1 kg⋅m⋅s−2
Imperial units	0.2248089 lbf

A newton is defined as 1 kg⋅m/s², which is the force which gives a mass of 1 kilogram an acceleration of 1 metre per second, per second.

DefinitionEdit

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 a change in velocity per time, i.e. an increase of velocity by 1 metre per second every second.

In 1946, 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, namely:^[4]

${\displaystyle F=ma,}$

where ${\displaystyle m}$ represents the mass of the object undergoing an acceleration ${\displaystyle a}$. As a result, the newton may be defined in terms of kilograms (${\displaystyle {\text{kg}}}$), metres (${\displaystyle {\text{m}}}$), and seconds (${\displaystyle {\text{s}}}$) as

${\displaystyle 1\ {\text{N}}=1\ {\frac {{\text{kg}}\cdot {\text{m}}}{{\text{s}}^{2}}}.}$

ExamplesEdit

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, which we measure as the apple's weight.^[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]

Commonly seen as kilonewtonsEdit

A carabiner used in rock climbing, with a safety rating of 26 kN along the spine or 8 kN across the gate.

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 lb_f), 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 factorsEdit

Units of force

v t e	newton (SI unit)	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 is used here for all gravitational units.

Three approaches to units of mass and force or weight^[7][8]

v t e  Base	Force		Weight		Mass
2nd law of motion	m = F/a		F = W ⋅ a/g		F = m ⋅ a
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) 

• v
• t
• e

Prefix name	N/A	deca-	hecto-	kilo-	mega-	giga-	tera-	peta-	exa-	zetta-	yotta-
Prefix symbol		da-	h-	k-	M-	G-	T-	P-	E-	Z-	Y-
Factor	100	101	102	103	106	109	1012	1015	1018	1021	1024

Standard prefixes for the metric units of measure (submultiples) 

• v
• t
• e

Prefix name	N/A	deci-	centi-	milli-	micro-	nano-	pico-	femto-	atto-	zepto-	yocto-
Prefix symbol		d-	c-	m-	μ-	n-	p-	f-	a-	z-	y-
Factor	100	10–1	10–2	10–3	10–6	10–9	10–12	10–15	10–18	10–21	10–24

See also

This article uses material from the Wikipedia article  Metasyntactic variable, which is released under the  Creative Commons Attribution-ShareAlike 3.0 Unported License.