Kilogram vs Kilogram-Force (kg vs kgf)
Kilogram (kg) measures mass; kilogram-force (kgf) measures force, exactly 9.80665 N. Why they get mixed up and how to convert between kgf and newtons.
The short answer
The kilogram (kg) is a unit of mass: how much matter an object contains. The kilogram-force (kgf) is a unit of force: the weight of a one-kilogram mass under standard gravity. By definition, 1 kgf = 9.80665 N exactly.
| Kilogram | Kilogram-force | |
|---|---|---|
| Measures | Mass | Force |
| Symbol | kg | kgf (also kp, kilopond) |
| SI status | SI base unit | Not part of the SI |
| Value in SI units | 1 kg | 9.80665 N |
Why they get mixed up
A bathroom scale measures the force your body presses on it, then shows the result in kilograms by assuming a value for gravity. On the Earth's surface a mass of 1 kg weighs close to 1 kgf, so the shortcut works for everyday use.
Older technical documents, tire charts and some tools still give forces or pressures in kgf or kgf/cm². When you meet these units, convert them to newtons or pascals before mixing them with SI values.
Gravity is not the same everywhere
Gravitational acceleration ranges from about 9.78 m/s² at the equator to about 9.83 m/s² at the poles. The kilogram-force uses the fixed standard value of 9.80665 m/s², so it is a precise unit, even though the real weight of a 1 kg mass varies by about half a percent around the world.
Converting kilogram-force
To convert kilograms-force to newtons, multiply by 9.80665. Modern specifications usually use kilonewtons: 1 kN ≈ 101.97 kgf, and 1 kgf ≈ 2.20462 lbf.
Quick reference table
| Kilogram-force (kgf) | Newtons (N) | Pound-force (lbf) |
|---|---|---|
| 1 | 9.80665 | 2.20462 |
| 5 | 49.0333 | 11.0231 |
| 10 | 98.0665 | 22.0462 |
| 50 | 490.333 | 110.231 |
| 100 | 980.665 | 220.462 |
A simple rule
If the quantity is an amount of matter (a sack of flour, a person), it is a mass and the unit is the kilogram. If it is a pull or push, such as the tension in a cable or the thrust of an engine, it is a force and the SI unit is the newton. Kilogram-force is an older engineering unit for force and is not part of the SI.
To change a kilogram-force figure into newtons, multiply by 9.80665, which gives for example 196.133 N for 20 kgf.
Kilopond and tonne-force
The kilogram-force is also called the kilopond (kp), mainly in older German and European documents. The two names mean exactly the same unit.
Heavy loads are sometimes given in metric tonnes-force, where 1 tf = 1000 kgf. That is 9.80665 kN. Lifting gear and crane charts that say "tonnes" usually mean the mass that can be lifted, not a force, so read the label carefully.
Sources
- SI Brochure, 9th edition (BIPM, 2019)
- NIST Special Publication 811 (2008), Appendix B.8