Newton (unit)

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

Contents

Definition

The newton is the unit of force derived in the SI system; it is equal to the amount of net force required to accelerate a mass of one kilogram at a rate of one meter per second per second. In dimensional analysis, F=ma, multiplying m (kg) by a (m/s2), the dimension for 1 newton unit is therefore:[1]

{\rm 1~N = 1~\frac{kg\cdot m}{s^2}}

Examples

Common use of kilonewtons in construction

Kilonewtons are often used for stating safety holding values of fasteners, anchors and more in the building industry.[2] They are also often used in the specifications for rock climbing equipment. The safe working loads in both tension and shear measurements can be stated in kN (kilonewtons).

1 kN equals 101.97162 kilograms of load, but multiplying the kN value by 100 (i.e. using a slightly pessimistic and easier to calculate value) is a good rule of thumb.[3]

Conversion factors

Units of force
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.
Four examples of mass and force units
System FPS Engineering FPS Gravitational FPS Absolute Metric
Force (F) F = m·a F = m·a/gc = w·a/g F = m·a F = m·a
Weight (w) w = m·g w = m·g/gc ≈ m w = m·g
Units
Acceleration (a) ft/s2 ft/s2 ft/s2 m/s2
Mass (m) slug pound-mass pound kilogram
Force (F) pound pound-force poundal newton

See also

References