Force Unit Converter
Convert between Newton, kilonewton, pound-force, kilogram-force, dyne, kip, poundal, gram-force, and all SI prefix variants — from attonewtons in biophysics to meganewtons in rocket propulsion. Type once, copy any result instantly.
33+
Units Supported
aN → EN
36 Orders of Mag.
Instant
All Outputs
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From DNA Bonds to Rocket Engines
Force spans 36 orders of magnitude in nature — here are the most recognisable reference points across every scale
~600 pN~1 μN~1 mN~1 N~700 N~2–8 kN~50–80 kN~300–400 kN~34 MN~2×10²⁰ NWhy Newton? The Newton is defined as kg·m/s² — directly from mass, length, and time. This makes F = ma work without any conversion factors in SI, which is why the Newton replaced kilogram-force and pound-force in science and engineering worldwide. One Newton is roughly the weight of a 102-gram apple — Newton's own anecdote made physical.
Every SI Prefix from Atto to Exa
The complete newton prefix ladder — 17 units spanning 36 orders of magnitude, all in one place
EN10¹⁸Exanewton
1,000,000,000,000,000,000 N
PT10¹⁵Petanewton
1,000,000,000,000,000 N
TN10¹²Teranewton
1,000,000,000,000 N
GN10⁹Giganewton
1,000,000,000 N
MN10⁶Meganewton
1,000,000 N
kN10³Kilonewton
1,000 N
hN10²Hectonewton
100 N
daN10¹Dekanewton
10 N
N10⁰Newton
1 N
SI BasedN10⁻¹Decinewton
0.1 N
cN10⁻²Centinewton
0.01 N
mN10⁻³Millinewton
0.001 N
μN10⁻⁶Micronewton
0.000001 N
nN10⁻⁹Nanonewton
0.000000001 N
pN10⁻¹²Piconewton
10⁻¹² N
fN10⁻¹⁵Femtonewton
10⁻¹⁵ N
aN10⁻¹⁸Attonewton
10⁻¹⁸ N
The Units That Cause the Most Confusion
Imperial, gravitational, and CGS force units — with origins, actual uses, and the gotcha that trips people up
lbfPound-force
1 lbf = 4.44822 NOrigin
Force exerted by 1 lb mass under standard gravity (9.80665 m/s²)
Used In
US engineering, HVAC loads, structural specs, firearms
Watch Out
lbf ≠ lb mass. lbf is a force; lb (lbm) is mass — confusing them causes unit errors.
ozfOunce-force
1 ozf = 0.278014 NOrigin
Force exerted by 1 oz mass under standard gravity
Used In
Small mechanisms, springs, postal scales
Watch Out
1 lbf = 16 ozf exactly. Often written as 'oz' on spring scales.
kgfKilogram-force
1 kgf = 9.80665 NOrigin
Force exerted by 1 kg mass under standard gravity (g = 9.80665 m/s²)
Used In
Older European engineering, hydraulic specs, bolt torque ratings
Watch Out
1 kgf = 9.80665 N exactly. Engine torque kgf·m ≠ N·m without this factor.
gfGram-force
1 gf = 0.00980665 NOrigin
Force exerted by 1 gram mass under standard gravity
Used In
Precision instruments, laboratory balances, gemstone weight checks
Watch Out
1 gf = 0.001 kgf = 0.00980665 N. Jewellers still use gf for spring tension.
tfTon-force (metric)
1 tf = 9,806.65 NOrigin
Force exerted by 1 metric tonne (1,000 kg) under standard gravity
Used In
Civil engineering loads, crane rated capacities, bridge design
Watch Out
Metric tf ≠ short ton-force (8,896 N) ≠ long ton-force (9,964 N). Always specify.
dynDyne
1 dyn = 0.00001 NOrigin
CGS unit: force that accelerates 1 gram at 1 cm/s²
Used In
Surface tension, older physics texts, CGS-based scientific literature
Watch Out
1 N = 100,000 dyne. Still appears in fluid dynamics and surface chemistry papers.
pdlPoundal
1 pdl = 0.138255 NOrigin
FPS unit: force that accelerates 1 lb mass at 1 ft/s²
Used In
Older British engineering texts; rarely used today
Watch Out
pdl ≠ lbf. 1 lbf = 32.174 pdl. The poundal avoids the gravitational constant issue.
kipfKip-force
1 kipf = 4,448.22 NOrigin
1 kip = 1,000 lbf. 'Kip' = kilo + pound
Used In
US structural engineering — beam loads, column capacities, foundation design
Watch Out
Kip is force only (not mass). Structural drawings routinely express loads in kips.
Direct Factors for Every Common Pair
Exact multipliers for the pairs you'll actually use — no intermediate Pascal step needed
| Convert | Multiply by | Example |
|---|---|---|
| N → lbf | ÷ 4.44822 | 100 N = 22.48 lbf |
| lbf → N | × 4.44822 | 10 lbf = 44.48 N |
| kN → lbf | × 224.809 | 1 kN = 224.8 lbf |
| lbf → kN | × 0.004448 | 1,000 lbf = 4.448 kN |
| kgf → N | × 9.80665 | 10 kgf = 98.07 N |
| N → kgf | ÷ 9.80665 | 100 N = 10.197 kgf |
| kN → kgf | × 101.972 | 1 kN = 101.97 kgf |
| kgf → lbf | × 2.20462 | 50 kgf = 110.2 lbf |
| dyn → N | × 0.00001 | 100,000 dyn = 1 N |
| N → dyn | × 100,000 | 1 N = 100,000 dyn |
| kipf → kN | × 4.44822 | 1 kip = 4.448 kN |
| lbf → ozf | × 16 | 2 lbf = 32 ozf |
Force ≠ weight ≠ mass. All conversions above are force-to-force. If you have a mass (kg, lb, g) and need its weight force, multiply by local gravitational acceleration g (9.80665 m/s² on Earth's surface). On the Moon (g ≈ 1.62 m/s²), a 70 kg person weighs 113 N — not 686 N as on Earth. The converter assumes you are converting force values, not performing mass-to-weight calculations.
Force Units Across Every Discipline
The same physical quantity — expressed in completely different units depending on who you ask
Structural & Civil Engineering
Structural engineers work in kilonewtons (kN) and kips (kipf) for beam loads, column capacities, and wind loads. US drawings use kips; European drawings use kN. Concrete breaking strength is in MPa (which links to N via area). Foundation designs specify loads in kN/m² or kips/ft². Mismatching these units has caused real structural failures — unit clarity is a safety issue, not just a calculation preference.
Aerospace & Propulsion
Rocket thrust is measured in kilonewtons (kN) and meganewtons (MN). The SpaceX Falcon 9 first stage produces ~7.6 MN at sea level; the Saturn V generated 34 MN. Aircraft engine thrust is rated in kilonewtons (kN) and historically in pounds-force (lbf) — the CFM56 turbofan delivers ~130 kN (29,000 lbf) per engine. Aerodynamic lift and drag forces are also in N or kN depending on aircraft scale.
Biomechanics & Medicine
Human joint contact forces are expressed in body-weight multiples or Newtons. The hip joint transmits ~2,500–3,000 N during walking (3–4 × body weight). Dental bite forces reach 500–700 N on molars. Surgical sutures are rated in Newtons (2-0 suture ≈ 35 N tensile strength). Bone fracture thresholds for the femur are around 4,000–5,000 N under axial load — critical data in injury biomechanics and implant design.
Manufacturing & Materials Testing
Tensile testing machines (UTM) apply force in Newtons and kilonewtons to measure yield strength and ultimate tensile strength of materials. Torque wrenches are rated in N·m; cutting tool forces in steel machining reach 1,000–3,000 N. Injection moulding clamp forces are expressed in kilonewtons (kN) or in tonnes-force (tf). CNC grinding requires sub-newton force feedback in the micronewton range for precision surface finish.
Type, Select, Copy
Three steps from input to clipboard — works on mobile in the field, lab, or design office
Enter any force value
Type an integer or decimal — 4.448 N, 1000 lbf, 34 MN, 600 pN, 0.5 kgf. Scientific notation and very large or very small numbers work.
Choose the source unit
Select from 33+ units — N, kN, MN, lbf, kgf, gf, tf, dyn, kipf, poundal, ozf, and all SI prefix variants. All outputs update instantly.
Copy any result in one tap
Tap Copy beside any output row to place that value directly in your clipboard — ready to paste into a CAD drawing, report, or spreadsheet.
Force Conversion Questions Answered
N, kN, lbf, kgf, dyne, kip, poundal, gf — formulas, physics, and engineering context
Core Pressure Conversions
Divide by 4.44822: N ÷ 4.44822 = lbf. Example: 100 N = 22.48 lbf. Reverse (lbf to N): multiply by 4.44822. Example: 10 lbf = 44.48 N. The factor comes from the definition of pound-force: 1 lbf is the force exerted by exactly 1 lb mass under standard gravity (9.80665 m/s²), and 1 lb = 0.453592 kg, so 1 lbf = 0.453592 × 9.80665 = 4.44822 N.
Multiply by 9.80665: kgf × 9.80665 = N. Example: 10 kgf = 98.07 N. Reverse: N ÷ 9.80665 = kgf. Example: 100 N = 10.197 kgf. The factor 9.80665 m/s² is the standard acceleration of gravity defined by the CGPM in 1901 — it is an exact defined value, not a measured approximation. This means 1 kgf = 9.80665 N exactly, and the conversion carries full precision.
kN to lbf: kN × 224.809 = lbf. Example: 1 kN = 224.8 lbf; 10 kN = 2,248 lbf. kN to kgf: kN × 101.972 = kgf. Example: 1 kN = 101.97 kgf. Kilonewtons are the standard unit in European structural engineering; kips (1 kipf = 4.448 kN) are the US equivalent. Structural load tables list values in kN (EU) or kips (US) — this conversion is the most common in international design collaboration.
Pound-force (lbf) is a unit of force — the push or pull on an object. Pound-mass (lbm) is a unit of mass — the quantity of matter. Under standard gravity, an object of 1 lbm weight exerts 1 lbf. But in space (zero gravity), that same 1 lbm object exerts 0 lbf. The confusion arises because "pound" is used colloquially for both. In engineering equations (F = ma), using lbf for force and lbm for mass introduces a factor of 32.174 ft/s² (gc conversion factor) — this is why aerospace engineers either use SI (N, kg) or are very explicit about "lbf" vs "lbm" suffixes.
1 N = 100,000 dyne. dyne to N: dyn ÷ 100,000 = N. N to dyne: N × 100,000 = dyn. The dyne is the CGS (centimetre-gram-second) unit of force: 1 dyne is the force needed to accelerate 1 gram at 1 cm/s². It appears in older physics texts, surface tension calculations (mN/m = 1 dyn/cm), and fluid dynamics papers from before SI standardisation. Example: surface tension of water ≈ 72 dyn/cm = 0.072 N/m.
A kip-force (kipf) equals exactly 1,000 lbf — "kip" is short for "kilo-pound." kip to N: kipf × 4,448.22 = N. kip to kN: kipf × 4.44822 = kN. Example: 1 kip = 4.448 kN = 4,448.22 N. Kips are the default force unit in US structural engineering — column schedules, beam load tables, and connection designs are all in kips. A column supporting a 200-kip load supports the equivalent of 890 kN or about 89,000 kgf.
1 kN = 1,000 N and 1 MN = 1,000,000 N. The Newton is named after Isaac Newton and defined as the force that accelerates a 1 kg mass at 1 m/s². A single apple falling exerts roughly 1 N. A car engine produces 2–8 kN of thrust force at the wheels. A commercial aircraft turbofan delivers ~130 kN. A large rocket produces tens of MN. The SI prefix system makes force magnitudes across all scales expressible without scientific notation — which is why kN is used in construction and MN in launch vehicles.
Poundal to N: pdl × 0.138255 = N. Example: 10 pdl = 1.383 N. Poundal to lbf: pdl ÷ 32.174 = lbf. Example: 32.174 pdl = 1 lbf. The poundal is the FPS (foot-pound-second) coherent unit of force — it accelerates 1 lb mass at 1 ft/s². Unlike lbf, it avoids needing the gravitational constant gc in F = ma. Poundal is largely obsolete but still appears in some older British engineering texts and physics problems explicitly using the FPS system.
Using the Tool
Three steps: (1) Type any force value — decimals and large numbers both work (e.g., 4.44822 N, 1000 lbf, 34 MN, 0.5 kgf). (2) Select the source unit from the dropdown — Newton, kilonewton, pound-force, kgf, dyne, kip-force, poundal, and all SI prefix variants. (3) All units update instantly. Tap Copy next to any result to place it in your clipboard. Free at untangletools.com/unit/category/force — no account, no ads during conversion.
Yes — the converter spans from attonewton (10⁻¹⁸ N) to exanewton (10¹⁸ N) — a range of 36 orders of magnitude. Enter 600 for piconewtons (pN) and instantly see the equivalent in femtonewtons, nanonewtons, micronewtons, and up the scale. Sub-newton units matter in biophysics (DNA strand force ≈ 600 pN), MEMS sensor design (μN range), and atomic force microscopy (nN to pN). The tool handles 64-bit floating-point throughout — no precision loss at extreme scales.
Yes — all three ton-force variants are supported and they are not equal: Metric ton-force (tf) = 9,806.65 N (1,000 kgf). Short ton-force (US) = 8,896.44 N (2,000 lbf). Long ton-force (UK) = 9,964.02 N (2,240 lbf). Confusing metric and short ton-force introduces a ~10 % error — significant in crane load ratings, structural steel specs, and lifting equipment certification. The converter shows all three simultaneously from a single input.
Yes. All factors use exact SI-defined or internationally standardised values: 1 lbf = 4.4482216152605 N (exact, from pound and standard gravity definitions); 1 kgf = 9.80665 N (exact); 1 dyne = 10⁻⁵ N (exact); 1 poundal = 0.138254954376 N (exact). Completely free at untangletools.com/unit/category/force — no account required, no ads shown during use.
Medical, Automotive & Technical
Kilogram-force (kgf) is a gravitational metric unit that predates SI. It was convenient because the numeric value equalled the object's mass in kilograms — a 70 kg person "weighs" 70 kgf (at standard gravity). Many older European standards, Japanese industrial specifications, and hydraulic equipment datasheets still use kgf or its derivatives (kgf/cm² for pressure, kgf·m for torque). It matters because 1 kgf ≠ 1 kg — mass and force are different quantities. Using kgf in a dynamics equation without multiplying by 9.80665 gives a force value that is 9.8× too small. Always note whether a spec sheet says kgf or N.
Newton's Second Law states F = ma — force equals mass times acceleration. The Newton (N) is defined as the force that accelerates exactly 1 kilogram at exactly 1 metre per second squared: 1 N = 1 kg·m/s². This definition makes Newton the SI coherent unit — no conversion factor appears in F = ma when using kg, m/s², and N. In contrast, using lbm and ft/s² produces lbm·ft/s² = 1 poundal (pdl), not lbf — which is why a factor of gc (32.174) appears in US customary force equations. The Newton's coherence with SI mass and length units is why it's the international standard for science and engineering.
Weight is a force — specifically, the gravitational force on an object: W = m × g. On Earth's surface (g = 9.80665 m/s²), a 1 kg mass has weight 9.807 N = 1 kgf = 2.205 lbf. On the Moon (g ≈ 1.62 m/s²), that same 1 kg mass weighs only 1.62 N. The mass doesn't change, but the weight does. This is why NASA specifies spacecraft mass in kilograms (invariant) and thrust in Newtons (force), and why "weight" and "mass" must never be used interchangeably in technical documents. The converter handles force — if you need to convert weight to mass, divide by local g.
Structural engineering uses kilonewtons (kN) in metric countries and kips (1 kip = 1,000 lbf = 4.448 kN) in the US. Loads are categorised as dead load (self-weight), live load (occupancy), and wind/seismic loads — all in kN or kips. A typical floor live load is 2.4 kN/m² (50 psf). A column in a 10-storey building might carry 3,000–5,000 kN (674–1,124 kips). Metric ton-force (tf) appears in crane certification and lifting slings — a 5 tf rated sling supports up to 49,033 N (11,023 lbf). Converting between these systems is daily work in any internationally operating engineering firm.
Advanced & Industry-Specific
At nanoscale, forces are measured using atomic force microscopy (AFM) — a cantilever tip deflects under forces as small as 1 pN (10⁻¹² N). Optical tweezers trap particles with laser light and measure forces in the piconewton range — used to study molecular motors (kinesin walks along microtubules with ~6 pN stall force), RNA polymerase translocation (~25 pN), and DNA stretching. Magnetic tweezers and MEMS force sensors extend measurable range to nanonewtons. These instruments have revolutionised cell biology because forces in the pN–nN range govern protein folding, DNA replication, and cell adhesion — processes invisible to classical mechanics.
1 gram-force (gf) = 0.00980665 N = 0.001 kgf. It is the force exerted by a 1-gram mass under standard gravity. Gram-force persists in: (1) precision spring testing — watchmaker springs and pen nibs are rated in gf; (2) gemology — gemstone weight-checking scales compare against known gf; (3) food texture analysis — penetrometer probes measure cheese or dough resistance in gf; (4) electronics assembly — insertion and extraction forces for connectors are specified in gf. In each case, the gram-scale magnitudes (5–200 gf) would be cumbersome as mN or N decimal fractions, making gf still practical for these niches.
A joule per metre (J/m) is dimensionally identical to a Newton: 1 J/m = 1 N. This follows from the definition of work: Work (J) = Force (N) × Distance (m), therefore Force = Work / Distance = J/m. It appears in force converters because some engineering contexts — particularly elastic spring constants, radiation pressure, and gradient force expressions — naturally produce force in J/m from energy-divided-by-length calculations. 1 J/m = 1 N and 1 J/cm = 100 N (because dividing 1 J by 0.01 m gives 100 N). Using J/cm directly avoids the intermediate conversion step when working with centimetre-scale energy data.
The choice follows the institutional standard of the organisation. NASA and US aerospace contractors rate thrust in both lbf and kN — the F-1 engine (Saturn V) produced 1,522,000 lbf (6.77 MN) sea level. European, Russian, and Chinese manufacturers use kN exclusively. The SpaceX Raptor engine is rated at 1,900 kN (427,000 lbf) in vacuum. In practice, both appear on international datasheets to avoid ambiguity. Specific impulse (Isp), the efficiency metric, is dimensionless or in seconds regardless of the force unit chosen — which is why Isp is the preferred cross-system performance comparator in propulsion engineering.
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