Force Unit Converter
Convert force between newtons, kilonewtons, dynes, pound-force, and kilogram-force.
Converted force
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Newtons (N)
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Kilonewtons (kN)
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Pound-force (lbf)
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Kilogram-force (kgf)
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Dynes (dyn)
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Calculation Details
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How to use this calculator
Three inputs. The result shows 5 force equivalents at once.
Force is the value you’re starting with. Type it in. Decimals work; so does scientific notation for very large or very small values.
From unit is your source unit. Options: Newton (N), Kilonewton (kN), Dyne (dyn), Pound-force (lbf), Kilogram-force (kgf), Meganewton (MN), and Millinewton (mN).
To unit is your target. Same list.
Click Calculate and the blue results panel shows your converted value plus 5 simultaneous equivalents: Newtons, Kilonewtons, Pound-force, Kilogram-force, and Dynes. That all-at-once display is the most useful feature: you enter 1 N and immediately see that it’s 0.22 lbf, 0.10 kgf, and 100,000 dynes without running separate lookups.
Example: 1 Newton converted to all units
Force: 1 / From unit: Newton (N)
Results:
- Newtons (N): 1.00
- Kilonewtons (kN): 0.001
- Pound-force (lbf): 0.2248
- Kilogram-force (kgf): 0.1020
- Dynes (dyn): 100,000
One newton is a modest force. About the weight of a medium apple. 0.22 lbf. 100,000 dynes in the old CGS system. The jump to dynes is the one that surprises people: 5 orders of magnitude from the same quantity.
The all-equivalents display means you rarely need to run the calculator twice. If you’re switching between an SI spec sheet (kN) and imperial drawings (lbf), both conversions appear in one calculation.
What force actually measures
Force is what causes acceleration. Push something and it moves faster. Pull something and it changes direction. Hold something up against gravity and you’re applying an upward force equal to its weight.
Newton’s second law is the definition:
Force equals mass times acceleration. 1 newton is defined as the force needed to accelerate 1 kilogram at 1 metre per second squared. That’s it. Everything else in this calculator is derived from that definition.
Weight is a force, specifically the gravitational force on a mass. A 1 kg object on Earth experiences about 9.81 N of gravitational force. That’s where kilogram-force comes from: 1 kgf is the force exerted by 1 kg of mass under standard gravity (9.80665 m/s²). It’s a convenient unit because it ties directly to the familiar kilogram, but it’s technically a force, not a mass.
The distinction between mass and force is the thing most people blur, and it matters when converting.
Mass is what an object has. Force is what acts on it. A 10 kg object has the same mass on the Moon as on Earth. The gravitational force on it (its weight) is 6× lower on the Moon. The converter handles force; mass-to-force conversion requires a gravity value.
The formulas
All conversions go through newtons as the base unit.
The 9.80665 in the kgf definition is standard gravity: the official defined value of gravitational acceleration at Earth’s surface. It’s not measured from any specific location; it’s the internationally agreed standard used in all force and weight definitions.
The dyne comes from the CGS system (centimetre-gram-second). 1 dyne = 1 g·cm/s², the force that accelerates 1 gram at 1 cm/s². Because the CGS units are 100× smaller in length and 1,000× smaller in mass than SI, the force unit ends up 10⁵ times smaller than a newton.
Pound-force (lbf) and pound-mass (lbm) are different things. A 1 lb object has a weight of 1 lbf under standard gravity (9.80665 m/s²), but this is a coincidence of how the unit was defined on Earth. In aerospace and engineering contexts where gravity varies, lbf and lbm are tracked separately. The calculator converts pound-force only.
Full conversion table: Newtons to all units
| Newtons (N) | kN | lbf | kgf | Dynes | Context |
|---|---|---|---|---|---|
| 0.001 | 0.000001 | 0.000225 | 0.000102 | 100 | Millinewton, touch sensor threshold |
| 0.01 | 0.00001 | 0.00225 | 0.00102 | 1,000 | Small insect leg force |
| 0.1 | 0.0001 | 0.02248 | 0.01020 | 10,000 | Light finger press |
| 1 | 0.001 | 0.2248 | 0.1020 | 100,000 | Weight of ~100g (apple) |
| 4.448 | 0.004448 | 1.0 | 0.4536 | 444,822 | 1 pound-force |
| 9.807 | 0.009807 | 2.205 | 1.0 | 980,665 | 1 kgf (weight of 1 kg) |
| 10 | 0.01 | 2.248 | 1.020 | 1,000,000 | Weight of ~1 kg |
| 100 | 0.1 | 22.48 | 10.20 | 10,000,000 | Weight of ~10 kg |
| 500 | 0.5 | 112.4 | 50.99 | 50,000,000 | Weight of ~51 kg (adult) |
| 1,000 | 1.0 | 224.8 | 101.97 | 100,000,000 | 1 kN, structural loads start here |
| 4,448 | 4.448 | 1,000 | 453.6 | 444,800,000 | 1,000 lbf |
| 9,807 | 9.807 | 2,205 | 1,000 | 980,700,000 | 1,000 kgf (1 tonne-force) |
| 10,000 | 10 | 2,248 | 1,020 | 1,000,000,000 | Structural beam load, light vehicle |
| 100,000 | 100 | 22,481 | 10,197 | 10,000,000,000 | Heavy structural load |
| 1,000,000 | 1,000 | 224,809 | 101,972 | 100,000,000,000 | 1 MN, large bridge load |
Pound-force to Newtons: the engineering crossover table
The conversion most used when working between US imperial specs and SI engineering.
| lbf | N | kN | kgf |
|---|---|---|---|
| 1 | 4.448 | 0.004448 | 0.4536 |
| 5 | 22.24 | 0.02224 | 2.268 |
| 10 | 44.48 | 0.04448 | 4.536 |
| 25 | 111.2 | 0.1112 | 11.34 |
| 50 | 222.4 | 0.2224 | 22.68 |
| 100 | 444.8 | 0.4448 | 45.36 |
| 200 | 889.6 | 0.8896 | 90.72 |
| 500 | 2,224 | 2.224 | 226.8 |
| 1,000 | 4,448 | 4.448 | 453.6 |
| 2,000 | 8,896 | 8.896 | 907.2 |
| 5,000 | 22,241 | 22.24 | 2,268 |
| 10,000 | 44,482 | 44.48 | 4,536 |
Kilonewtons to pound-force: structural engineering range
Structural loads, bridge ratings, and building design use kN. US construction sometimes uses kips (1 kip = 1,000 lbf). This table covers both.
| kN | N | lbf | kips (klbf) | kgf | Tonne-force |
|---|---|---|---|---|---|
| 0.1 | 100 | 22.48 | 0.02248 | 10.20 | 0.01020 |
| 0.5 | 500 | 112.4 | 0.1124 | 50.99 | 0.05099 |
| 1 | 1,000 | 224.8 | 0.2248 | 101.97 | 0.10197 |
| 2 | 2,000 | 449.6 | 0.4496 | 203.9 | 0.20394 |
| 5 | 5,000 | 1,124 | 1.124 | 509.9 | 0.5099 |
| 10 | 10,000 | 2,248 | 2.248 | 1,020 | 1.020 |
| 20 | 20,000 | 4,496 | 4.496 | 2,039 | 2.039 |
| 50 | 50,000 | 11,241 | 11.24 | 5,099 | 5.099 |
| 100 | 100,000 | 22,481 | 22.48 | 10,197 | 10.197 |
| 500 | 500,000 | 112,404 | 112.4 | 50,986 | 50.99 |
| 1,000 | 1,000,000 | 224,809 | 224.8 | 101,972 | 101.97 |
Real-world force reference points
Numbers help calibrate whether a converted force value makes physical sense.
| Force | Newtons | lbf | Context |
|---|---|---|---|
| Typing a key | ~0.5 N | 0.11 lbf | Laptop keyboard actuation |
| Crushing a can by hand | ~100 N | 22.5 lbf | Human grip strength |
| Human bite force | ~700 N | 157 lbf | Average molar bite |
| Weight of average adult (75 kg) | ~736 N | 165 lbf | 75 × 9.81 |
| Car braking force | ~5,000-15,000 N | 1,124-3,372 lbf | Depends on vehicle mass and deceleration |
| Structural floor load (residential) | ~1.5-2.0 kN/m² | 31-42 lbf/ft² | Building code live load |
| Small car weight (1,200 kg) | ~11,772 N | 2,646 lbf | 1,200 × 9.81 |
| Bolt preload (M16 bolt) | ~100-150 kN | 22,500-33,750 lbf | Structural bolting |
| Thrust of a commercial jet engine | ~300-400 kN | 67,000-90,000 lbf | Single engine at takeoff |
| Space Shuttle main engine thrust | ~1,860 kN | 418,000 lbf | At sea level |
| Saturn V first stage total thrust | ~34,000 kN | 7.65 million lbf | All 5 F-1 engines combined |
Real-world examples
Bolt torque spec conversion
A European engine manual specifies a head bolt torque of 60 N·m at 80 kN preload. A US mechanic’s tool is calibrated in lbf.
Bolt preload conversion
80 kN to lbf:
80 × 1,000 = 80,000 N 80,000 × 0.22481 = 17,985 lbf
For the torque: 60 N·m to lb·ft 60 × 0.7376 = 44.3 lb·ft
The torque wrench setting is 44.3 lb·ft. The preload context (17,985 lbf) confirms this is a high-load fastener requiring care not to over-torque.
Structural load check
A steel beam is rated for a maximum load of 25 kN. A contractor has loads specified in pounds.
Beam capacity in pounds-force
25 kN = 25,000 N
lbf = 25,000 × 0.22481 = 5,620 lbf
The beam handles up to 5,620 lbf. That’s equivalent to about 2,550 kg of weight, or roughly 2 tonnes. A single-family residential floor load of about 150 lbf/ft² on a 37-square-foot tributary area would reach this limit.
Comparing gravity on different planets
A Mars rover weighs 899 kg on Earth. Mars gravity is 3.72 m/s² (vs Earth’s 9.81 m/s²). What force does the rover exert on the Martian surface?
Weight force on Mars
Earth weight: 899 kg × 9.81 m/s² = 8,819 N = 8.82 kN
Mars weight: 899 kg × 3.72 m/s² = 3,344 N = 3.34 kN
In lbf: 3,344 × 0.22481 = 751.9 lbf
The rover pushes down on Mars with 3.34 kN, about 38% of its Earth weight. Mass stays 899 kg throughout.
Spring force calculation
A spring has a spring constant k = 500 N/m. Compressing it 15 cm (0.15 m). What force does it exert?
Hooke’s Law: F = k × x
F = 500 × 0.15 = 75 N
Converting to lbf: 75 × 0.22481 = 16.86 lbf Converting to kgf: 75 / 9.807 = 7.65 kgf
A 75 N spring force is roughly the weight of a 7.65 kg object, or about 17 pounds-force pushing back against compression.
Common mistakes people make
Confusing mass and force. Kilograms measure mass. Newtons measure force. A 70 kg person has a mass of 70 kg and a weight (gravitational force) of 70 × 9.81 = 686.7 N on Earth. On the Moon, the same person still has a mass of 70 kg but a weight of only 70 × 1.62 = 113.4 N. Mass doesn’t change with gravity; force does. When someone asks “how many newtons is 10 kg?” the answer is 98.1 N on Earth, but the question conflates the two concepts.
Using kilogram-force as if it were mass. Kgf is a force unit, not a mass unit. 1 kgf is the gravitational force on 1 kg of mass at standard gravity. It equals 9.80665 N. Using kgf in equations that expect newtons introduces a factor-of-9.81 error. Always check whether a formula expects force in N or in kgf before substituting.
Forgetting that lbf and lbm are different. In the imperial system, both pound-force (lbf) and pound-mass (lbm) are abbreviated “lb” in casual use. Under standard gravity, 1 lbm weighs 1 lbf, which is why the distinction gets ignored. But in aerospace, HVAC engineering, and any system with non-standard gravity, using lbf where lbm is expected (or vice versa) causes real errors.
Misapplying dyne to SI calculations. The dyne is from the CGS system, not SI. If you’re working in SI (metres, kilograms, seconds), don’t mix in dynes without converting through newtons first. 1 dyne = 10⁻⁵ N, so 1 million dynes = 10 N. The jump between the two systems is 5 orders of magnitude.
Treating kN as 1,000 kg. Kilonewtons are sometimes informally described as “tonnes of force” because 1 kN ≈ 102 kgf ≈ the weight of 102 kg. But 1 kN is not 1 tonne. 1 tonne-force = 9.807 kN. Confusing kN with tonne-force gives a 10× error in structural calculations where it matters most.
In some older European engineering and machinery documentation, “kp” (kilopond) appears. 1 kp = 1 kgf = 9.80665 N. Kilopond and kilogram-force are the same unit with different names. The pond (p) was a historical CGS-based unit equal to 1 gram-force. Don’t confuse kp (kilopond) with kPa (kilopascal), which is pressure not force.
Where each force unit is used
| Unit | Symbol | Primary use |
|---|---|---|
| Newton | N | SI standard, physics, all engineering |
| Kilonewton | kN | Structural engineering, bridge loads, vehicle dynamics |
| Meganewton | MN | Large-scale civil engineering, rocket thrust |
| Millinewton | mN | Micro-scale forces, sensors, MEMS devices |
| Dyne | dyn | Legacy CGS physics, surface tension measurement |
| Pound-force | lbf | US mechanical and structural engineering, aviation |
| Kilogram-force | kgf | European machinery, older metric standards, spring ratings |
| Tonne-force | tf | Heavy civil engineering, crane ratings, pile driving |
| Kip (kilopound-force) | kip | US structural engineering (1 kip = 1,000 lbf) |
The kip (kilopound-force) doesn’t appear in this calculator’s dropdown but comes up constantly in US structural drawings. 1 kip = 1,000 lbf = 4,448.2 N = 4.448 kN. If you need to convert kips, multiply by 1,000 to get lbf, then use the calculator.
Force vs pressure vs torque: the three that get confused
Force, pressure, and torque use overlapping vocabulary and sometimes similar-looking units. They measure completely different things.
Force is a push or pull: newtons, lbf, kN. It acts at a point or along a line.
Pressure is force per unit area: pascals (Pa = N/m²), psi (lbf/in²), bar. A 10 kN force applied to a 1 m² surface produces 10 kPa of pressure. Same force on 0.01 m² produces 1,000 kPa. Same force, 100× the pressure.
Torque is a rotational force: newton-metres (N·m), pound-feet (lb·ft). It’s force multiplied by the distance from the pivot point. A 10 N force applied at 0.5 m from a bolt produces 5 N·m of torque.
Confusing these three in engineering calculations produces wrong answers that aren’t obvious from units alone, especially in the imperial system where “pound” appears in pound-force, pound-mass, and pound-foot of torque.
The bottom line
Force conversion is one of those calculations that should be simple but trips people up because the unit systems (SI vs imperial) evolved separately and the distinction between mass and force gets blurred in everyday language.
The calculator shows all 5 equivalents at once. Enter a kilonewton value from a European spec sheet and immediately see the pound-force equivalent for US drawings, the kilogram-force for older European documentation, and the newton for any physics formula. That simultaneous display is what saves the extra lookups.
If one conversion to remember: 1 kgf = 9.81 N, and 1 lbf = 4.45 N. Those two anchor the whole conversion table.
Frequently Asked Questions
What is a newton?
One newton (N) is the force needed to accelerate 1 kg at 1 m/s². It is the SI unit of force. A medium apple weighs about 1 N. Earth's gravity pulls a 102g object with 1 N of force.
How do I convert newtons to pounds-force?
Divide newtons by 4.44822 to get lbf. Example: 100 N ÷ 4.44822 = 22.48 lbf. To convert lbf to newtons, multiply by 4.44822.
What is kilogram-force?
One kilogram-force (kgf) is the gravitational force on a 1 kg object at standard gravity (g = 9.80665 m/s²). 1 kgf = 9.80665 N. It is widely used in engineering and everyday language ("this bolt can handle 500 kg of load").
What is a dyne?
A dyne is the CGS unit of force: 1 dyne = 10⁻⁵ N = 0.00001 N. It is the force needed to accelerate 1 gram at 1 cm/s². Used in older physics texts and surface tension measurements (dyne/cm).
How much force does a human punch deliver?
An average person punches with about 150–500 N (34–112 lbf). A professional boxer can generate 1,000–5,000 N (225–1,125 lbf). A karate black belt strike can exceed 3,000 N.
What force does a car engine produce?
Engine power and torque produce force at the wheels. A typical 200 hp car engine producing 300 Nm torque through a 3.5:1 final drive on 0.33m radius wheels exerts about 3,180 N (715 lbf) of forward thrust at the tire contact patch.
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