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The newton (symbol: N) is the SI unit of force. It is named after Sir Isaac Newton in recognition of his work on classical mechanics.

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Definition

A newton is the amount of force required to accelerate a mass of one kilogram at a rate of one metre per second squared.

1 N = 1 kg·m·s–2

SI multiples

Multiple Name Symbol Multiple Name Symbol
100 newton N
101 decanewton daN 10–1 decinewton dN
102 hectonewton hN 10–2 centinewton cN
103 kilonewton kN 10–3 millinewton mN
106 meganewton MN 10–6 micronewton µN
109 giganewton GN 10–9 nanonewton nN
1012 teranewton TN 10–12 piconewton pN
1015 petanewton PN 10–15 femtonewton fN
1018 exanewton EN 10–18 attonewton aN
1021 zettanewton ZN 10–21 zeptonewton zN
1024 yottanewton YN 10–24 yoctonewton yN

Explanation

The notions of mass and force are often confused in everyday life, but must be kept separate in science and engineering. The newton was first used around 1904, but not until 1948 was it officially adopted by the General Conference on Weights and Measures (CGPM) as the name for the MKS unit of force. Rather fittingly, given the story about how Newton arrived at his theory of gravity after contemplating why an apple falls downwards, the mass of a small apple exerts a force of about 1 newton on Earth.

Conversions

Units of force
Newton
(SI unit)
Dyne Kilopond
(kilogram-force)
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 values for the pound-force are calculated using the same value for the standard acceleration of
gravity gn which is official for defining the kilopond (a.k.a. kilogram-force), something which is not
required. Other values such as gn = 32.16 ft/s² are also used.


See also

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