Force calculator

Force converter

Last updated:

Force is what accelerates mass: F = m × a. The SI unit is the newton (N), defined as the force needed to accelerate 1 kilogram by 1 m/s². Common force units include the kilonewton (kN), pound-force (lbf, 4.44822 N), kilogram-force (kgf, 9.80665 N), and dyne (10⁻⁵ N). At Earth's surface, an object with mass of 1 kg has a weight of about 9.81 N.

Example force conversions

1 N0.224809 lbf, 0.101972 kgf, 10⁵ dyne
1 kN1,000 N, 224.809 lbf, 101.972 kgf
1 lbf4.44822 N, 0.453592 kgf
1 kgf (1 kp)9.80665 N (exact), 2.20462 lbf

Open the live force converter for any input value.

Newtons and the SI force unit

The newton is the SI coherent force unit, named for Isaac Newton. 1 N equals 1 kg·m/s², which is a small unit in everyday terms: a medium-sized apple at Earth's surface weighs about 1 N. A 100 kg person experiences about 981 N of weight; a 1,500 kg car weighs about 14.7 kN; a typical jet airliner's takeoff thrust is in the hundreds of kilonewtons.

Force composition: 1 newton equals 1 joule per meter (work done divided by distance) or 1 watt-second per meter. This compositional clarity makes the newton the dominant scientific force unit and the basis for almost every physics equation in mechanics.

Pound-force vs pound-mass

The biggest source of confusion in customary US engineering is the pound. The 'pound' you weigh yourself in is technically a pound-mass (lbm). The 'pound' you measure structural loads in is a pound-force (lbf). They have the same numerical value at Earth's surface (1 lbf is the force exerted by 1 lbm under standard gravity), but they're different physical quantities. At another gravitational potential (the Moon, an orbiting satellite, an aircraft pulling g's), they diverge.

Many engineering disciplines disambiguate by using the slug as the customary mass unit. 1 slug is the mass that accelerates by 1 ft/s² under 1 lbf of force, which works out to about 14.594 kg. Outside structural and aerospace engineering, the slug is rare; most US work just keeps pound-force and pound-mass implicit and lets context disambiguate, which works fine until it doesn't.

Force in practical contexts

Mechanical engineering: bolt preload, beam loads, contact forces, and brake-pedal effort are all measured in newtons or pound-force. A standard M10 grade-8.8 bolt is rated for about 26 kN of preload. Standard car brake pedals require 100-300 N of foot effort under normal braking.

Rocketry and aviation: engine thrust is in newtons (or pound-force in US specs). A Falcon 9 first stage delivers about 7,600 kN of thrust at sea level (about 1.7 million lbf). A small consumer drone might pull 10-20 N of total thrust. The newton-vs-pound-force distinction is particularly important here because international space-industry papers use newtons and US-domestic specs often use pound-force.

Common force conversions

FromEquivalent
1 N0.224809 lbf, 0.101972 kgf, 10⁵ dyne
1 kN1,000 N, 224.809 lbf, 101.972 kgf
1 lbf4.44822 N, 0.453592 kgf
1 kgf (1 kp)9.80665 N (exact), 2.20462 lbf
1 dyne10⁻⁵ N (exact)
Weight of 1 kg mass at Earth surface9.81 N (varies slightly by location)
Weight of 1 lb mass at Earth surface1 lbf (by US convention)
1 ton-force (US)8.896 kN (2,000 lbf)

Frequently asked questions

How many newtons is 1 pound-force?

1 lbf equals 4.44822 newtons. The conversion factor is exact to six significant figures because pound-force is defined as the gravitational force on 1 avoirdupois pound under standard gravity (9.80665 m/s²).

What's the difference between pound and pound-force?

Pound-mass (lbm) measures mass; pound-force (lbf) measures force. They have the same numerical value at Earth's surface (1 lbm weighs 1 lbf under standard gravity), but they're different physical quantities. In strict engineering writing, the suffix disambiguates.

Why is 1 newton such a small unit?

Because the kilogram is the SI base for mass, and a kilogram at Earth's surface weighs about 9.81 N. The newton was sized to make F = m × a work cleanly in SI (1 N = 1 kg × 1 m/s²), not to match an everyday weight scale.

What is kilogram-force and why is it still around?

1 kgf is the force exerted by 1 kg of mass under standard gravity (9.80665 N). It survives in some non-SI engineering contexts (especially older mechanical specs) because it makes weight numerically equal to mass. The SI replacement is the newton.

How much thrust does a jet engine produce?

A modern commercial jet engine delivers 200-500 kN of takeoff thrust per engine, depending on the airframe class. The GE9X for the 777X produces about 470 kN (105,000 lbf). Smaller regional jet engines are in the 50-80 kN range.

Authoritative references

Reference and support links