Convert force values effortlessly between newtons, kilonewtons, pound-force, kilogram-force, and more. Pick a source unit, pick a target unit, enter a value, and get the result instantly.
Introduction
Force is a physical quantity that describes the interaction between bodies which causes a change in motion or shape.
The standard International System (SI) unit for force is the Newton (N).
1. Newton's Second Law:
2. Force of Weight (Gravity):
Below are the conversion factors for some of the most frequently used units.
| From Unit | To Unit | Conversion Factor |
|---|---|---|
| Dyne (dyn) | Kilonewton (kN) | |
| Kilonewton (kN) | Dyne (dyn) | |
| Kip (kip) | Newton (N) | |
| Newton (N) | Kip (kip) | |
| Pond (p) | Newton (N) | |
| Newton (N) | Pond (p) |
Note: A "Pond" (also known as gram-force) is a non-SI unit equal to the force exerted by one gram of mass in standard gravity.
A comprehensive list of force units and their standard symbols.
| Unit Name | Symbol | Unit Name | Symbol |
|---|---|---|---|
| Attonewton | aN | Kilonewton | kN |
| Centinewton | cN | Meganewton | MN |
| Decinewton | dN | Micronewton | N |
| Dekanewton | daN | Millinewton | mN |
| Dyne | dyn | Nanonewton | nN |
| Exanewton | EN | Newton | N |
| Femtonewton | fN | Ounce-force | ozf |
| Giganewton | GN | Petanewton | PN |
| Gram-force | gf | Piconewton | pN |
| Hectonewton | hN | Pound-force | lbf |
| Joule/meter | J/m | Poundal | pdl |
| Kilogram-force | kgf | Teranewton | TN |
To convert any force unit to newtons, multiply the value by its conversion factor. For example, 20 kilogram-force × 9.80665 = 196.133 N. To convert from newtons to another unit, divide by that factor or multiply by its reciprocal.
No. The kilogram-force (kgf), also called kilopond (kp), is the force exerted by one kilogram of mass under standard Earth gravity (exactly 9.80665 m/s²). One kilogram-force is equal to exactly 9.80665 newtons, so it is not the same unit.
One newton is 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.
Yes. The kilogram-force (kgf or kgF), also known as kilopond (kp), is a non-standard gravitational metric unit of force. It is the weight of a kilogram under standard gravity, so one kilogram-force is defined as exactly 9.80665 N.
Force (newtons) = mass × acceleration. Dimensionally, F = [M1 L0 T0] × [M0 L1 T-2] = M1 L1 T-2. Therefore, the newton is dimensionally represented as M1 L1 T-2.
A thousand newtons is roughly the force you would feel if a heavy person weighing about 100 kg (220 lb) stood on you. It is also the force needed to lift that person.
40 kN means 40 kilonewtons, which is equal to 40,000 newtons. In words, it is 'forty kilonewtons'. The unit 'sthene' (stn) is another name for a kilonewton, so 40 kN is also 40 stn.
1 kgf is the force with which the Earth attracts a body of mass 1 kg toward its centre. It is the weight of 1 kg at a place where the acceleration due to gravity g = 9.80665 m/s². Thus, 1 kgf = 9.80665 N.
Yes. The gravitational force between two masses is F = G × (M × m) / r², where G is the gravitational constant.
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