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Kilogram-force to Newtons (kgf to N)

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Kilogram-force-to-newtons conversions translate legacy continental-European, Russian, and Asian industrial-equipment force specifications into SI scientific-and-engineering documentation across automotive-engineering torque, industrial-machinery clamping-force, and material-strength-testing contexts. A 10 kgf·m engine-bolt torque translates to 98 N·m for SI automotive documentation; a 250 tonne-force injection-moulding-machine clamping translates to 2.45 MN for SI industrial documentation; a 3000 kgf Brinell-hardness load translates to 29.4 kN for SI material-testing documentation. The factor is the multiplicative ratio between the legacy kilogram-force and the SI-derived newton, fixed exactly by standard gravity (1 kgf = 9.80665 N exactly).

How to convert Kilogram-force to Newtons

Formula

N = kgf × 9.80665

To convert kilogram-force to newtons, multiply the kgf figure by 9.80665 — derived from standard gravity g = 9.80665 m/s² exactly applied to a one-kilogram mass. For mental math, "kgf × 10" gives a slight overestimate within 2% of exact: 1 kgf is about 10 N (exactly 9.81 N), 100 kgf is about 1000 N (exactly 980.7 N), 1000 kgf is about 10,000 N (exactly 9806.65 N). The conversion runs at every legacy-kgf-source to SI-N-destination engineering boundary across automotive-torque, industrial-machinery-clamping, material-test-load, and rocket-engine-thrust documentation. The factor is exact rather than approximate, fixed by the standard-gravity definition, and adds no rounding error of its own at the conversion step.

Worked examples

Example 11 kgf

One kilogram-force equals 9.80665 newtons exactly, derived from standard gravity g = 9.80665 m/s² exactly applied to a one-kilogram mass. The factor is fixed by the underlying definition rather than measured.

Example 210 kgf

Ten kilogram-force — a typical engine cylinder-head-bolt torque-figure-equivalent in kgf·m units — converts to 98.07 N or 98 N·m on the SI automotive-engineering documentation. The kgf-figure is the legacy automotive service-manual primary; the N-figure is the modern SI engineering reference.

Example 3250000 kgf

Two hundred fifty thousand kilogram-force (250 tonne-force) — a typical injection-moulding-machine clamping-force figure — converts to 2.45 MN on the SI industrial-equipment documentation. The tonne-force-figure is the legacy industrial-equipment-machinery primary; the MN-figure is the modern ISO-and-EN industrial documentation reference.

kgf to N conversion table

kgfN
1 kgf9.8066 N
2 kgf19.6133 N
3 kgf29.42 N
4 kgf39.2266 N
5 kgf49.0332 N
6 kgf58.8399 N
7 kgf68.6465 N
8 kgf78.4532 N
9 kgf88.2599 N
10 kgf98.0665 N
15 kgf147.0998 N
20 kgf196.133 N
25 kgf245.1662 N
30 kgf294.1995 N
40 kgf392.266 N
50 kgf490.3325 N
75 kgf735.4987 N
100 kgf980.665 N
150 kgf1470.9975 N
200 kgf1961.33 N
250 kgf2451.6625 N
500 kgf4903.325 N
750 kgf7354.9875 N
1000 kgf9806.65 N
2500 kgf24516.625 N
5000 kgf49033.25 N

Common kgf to N conversions

  • 1 kgf=9.8066 N
  • 5 kgf=49.0332 N
  • 10 kgf=98.0665 N
  • 50 kgf=490.3325 N
  • 100 kgf=980.665 N
  • 500 kgf=4903.325 N
  • 1000 kgf=9806.65 N
  • 3000 kgf=29419.95 N
  • 10000 kgf=98066.5 N
  • 250000 kgf=2451662.5 N

What is a Kilogram-force?

The kilogram-force (kgf, kp, or kilopond) is defined as the gravitational force exerted by a one-kilogram mass at standard gravity (g = 9.80665 m/s² exactly). One kgf = 9.80665 N exactly by definition, with the relationship fixed rather than measured since standard gravity is a defined exact value. The recognised symbol is "kgf" or "kp" (for kilopond, the German-and-Northern-European name for the same unit). The unit is technically not part of the modern SI — it was deprecated by the 1971 14th CGPM and is classified as "outside the SI" by the BIPM SI brochure — but it persists in legacy industrial-equipment specifications, automotive-engineering documentation (especially torque ratings in kgf·m for bolt-preload and engine-output specifications), and metal-working-press force-rating documentation. Multiples include the gram-force (gf, 1/1000 kgf), the metric tonne-force (tf or Mp for megapond, 1000 kgf, equal to the gravitational force on a metric tonne mass), and prefix-multiples following standard SI prefix conventions (mkgf for milli-kilogram-force, etc.).

The kilogram-force, also called the kilopond (kp), emerged in nineteenth-century continental European engineering practice as the gravitational force exerted by one kilogram-mass at standard gravity. The unit predates the formal SI newton (named in 1946) and was the principal continental-European engineering force unit through the late nineteenth and early-twentieth centuries, paralleling the US-customary pound-force convention. The kilogram-force was particularly entrenched in mechanical-engineering and structural-engineering practice in Germany, France, Italy, and Russia, where industrial-equipment force-and-load ratings, bolt-preload specifications, and material-strength tests were routinely expressed in kgf or kp. The 1948 9th CGPM and 1960 11th CGPM established the SI with the newton as the official derived force unit, but the kilogram-force survived in industrial practice through the late twentieth century. The unit was formally deprecated by the 1971 14th CGPM resolution as part of the SI standardisation effort, but legacy industrial-equipment specifications (compressors, hydraulic systems, metal-working presses, automotive-engineering torque-and-load specifications in kgf-m torque) continue to appear globally. Modern Russian, Eastern European, and parts of Asian engineering practice still encounter kgf in field-equipment documentation, with conversion to SI newtons required for international engineering documentation harmonisation.

Legacy continental-European, Russian, and parts of Asian engineering practice. Automotive-engineering torque specifications: many older Japanese, Russian, and Eastern European vehicle service-manuals specify bolt torque in kgf·m (typical engine cylinder-head bolt at 8-12 kgf·m, equivalent to 78-118 N·m). Industrial-machinery force-ratings: older European hydraulic-press, metal-working-press, injection-moulding-machine, and stamping-press equipment specifies clamping-force-and-tonnage in kgf or tonne-force (tf), with typical injection-moulding-machine clamping force at 50-2000 tf. Compressor-and-pump-spring force ratings in legacy industrial-equipment documentation. Material-strength testing in older test-equipment documentation: Brinell-hardness, Rockwell-hardness, and tensile-test load specifications in kgf in legacy ASTM-and-ISO-and-DIN test-method documentation (the modern equivalents have transitioned to N or kN). Aerospace-and-defence: Russian rocket-engine thrust specifications historically given in tonne-force (Soyuz RD-107 first-stage at 102 tf sea-level thrust, equivalent to 1000 kN), with the unit persisting in legacy Russian-and-Soviet engineering documentation. The kgf-and-tonne-force survive in field-equipment documentation across emerging-market and legacy-equipment-installed-base contexts, with conversion to SI newtons required for international-engineering-documentation harmonisation under ISO-and-EN standards.

What is a Newton?

The newton (N) is the SI-derived unit of force, defined as the force required to accelerate a one-kilogram mass at one metre per second squared (1 N = 1 kg·m/s² exactly). The unit is fixed by Newton's second law (F = ma) applied to SI-base units: with mass in kilograms and acceleration in m/s², the resulting force is in newtons. The 2019 SI redefinition fixed all SI-derived units including the newton via the kilogram-metre-second chain, with the kilogram defined via the Planck constant h = 6.62607015 × 10⁻³⁴ J·s exactly, the metre via the speed of light c = 299,792,458 m/s exactly, and the second via the caesium-133 hyperfine transition frequency 9,192,631,770 Hz exactly. The newton is the standard force unit in physics, engineering, and most international industrial work, with millinewton (mN, 10⁻³ N), kilonewton (kN, 10³ N), and meganewton (MN, 10⁶ N) prefixed scales used at different application scales.

The newton was named in 1946 by the 9th General Conference on Weights and Measures (CGPM) for Sir Isaac Newton, whose 1687 Principia Mathematica laid out the three laws of motion that defined force as the product of mass and acceleration. Before the SI naming the unit was simply called the "MKS unit of force" (kilogram-metre-per-second-squared) since the late nineteenth-century introduction of the MKS system to replace the older CGS dyne unit. The dyne (g·cm/s², equal to 10⁻⁵ N) had been the CGS-system force unit since the 1873 British Association report that codified CGS for physics work. The 1946 CGPM resolution adopted "newton" as the MKS unit name and the 1948 9th CGPM ratified it as part of the MKSA (metre-kilogram-second-ampere) system that became the SI in 1960. The newton has been the universal SI-derived force unit since, replacing the older dyne and pound-force units in scientific and most engineering work, with the older units surviving in US-customary engineering practice and in legacy industrial-equipment specifications. The 2019 SI redefinition fixed the newton via the kilogram-metre-second chain anchored in the Planck constant, the speed of light, and the caesium-133 hyperfine transition frequency.

Physics and scientific work globally — every modern physics-and-engineering force-related calculation runs in newtons, including statics, dynamics, structural analysis, fluid-mechanics, thermodynamics, and aerospace work. Mechanical-engineering force specifications: bolt-and-fastener axial preload (typical M10 grade-8.8 bolt at 18-25 kN preload), spring force-deflection ratings (typical industrial compression spring at 1-100 kN/m stiffness), industrial actuator force ratings (hydraulic-cylinder typical 10-1000 kN, pneumatic typical 0.1-50 kN). Aerospace-and-launch-vehicle thrust specifications: SpaceX Merlin 1D engine at 845 kN sea-level thrust, RD-180 at 3825 kN, Space Shuttle SSME at 1860 kN, Saturn V F-1 at 6770 kN per engine. Automotive-and-tyre force specifications: typical mid-size car tyre lateral-grip 4-6 kN per tyre, braking force 6-10 kN per wheel for hard stop. EU MDR (Medical Device Regulation) and ISO-medical-device-equipment specifications use newtons for biomechanical forces (typical bone-fracture loads, prosthetic-implant loads, surgical-instrument grip forces). The newton is the universal scientific-and-engineering force unit globally, with the older pound-force and kilogram-force surviving in US-customary and legacy European-and-Asian engineering documentation.

Real-world uses for Kilogram-force to Newtons

Legacy automotive kgf·m torque translated to SI N·m for modern engineering documentation

Legacy continental-European, Japanese, Russian, and Eastern European automotive service manuals specify bolt-and-fastener torque in kgf·m, requiring translation to SI N·m for modern engineering documentation harmonisation under ISO and JIS conventions. A 10 kgf·m engine cylinder-head bolt-torque translates to 98 N·m; a 5 kgf·m wheel-lug-nut torque translates to 49 N·m; a 12 kgf·m crankshaft-pulley-bolt torque translates to 117.7 N·m. The conversion runs at every legacy-automotive-service-manual to modern SI-engineering documentation step.

Industrial-machinery tonne-force clamping translated to SI kN-and-MN for ISO documentation

Older European hydraulic-press, metal-stamping-press, and injection-moulding-machine equipment specifies clamping-force in tonne-force (tf, equal to 1000 kgf), requiring translation to SI kN-or-MN for modern ISO industrial-equipment documentation. A 250 tf injection-moulding clamping translates to 2.45 MN or 2450 kN; a 1000 tf metal-stamping-press clamping translates to 9.8 MN; a 50 tf compact-press clamping translates to 490 kN. The conversion runs at every legacy-industrial-equipment specification to modern ISO-equipment-import documentation step.

Brinell-hardness kgf test-loads translated to SI kN for modern ASTM-and-ISO test documentation

Legacy Brinell-hardness, Rockwell-hardness, and tensile-strength test-method documentation specifies test-loads in kgf, requiring translation to SI N-or-kN for modern ASTM-and-ISO test-method harmonisation. A 3000 kgf Brinell-hardness test-load translates to 29.42 kN; a 500 kgf softer-material Brinell-hardness load translates to 4.9 kN; a 100 kgf Rockwell-hardness major-load translates to 980 N. The conversion runs at every legacy-test-method to modern ASTM-and-ISO-and-EN material-strength-test documentation step.

Russian rocket-engine tonne-force thrust translated to SI MN for international aerospace documentation

Russian-and-Soviet aerospace-and-defence rocket-engine thrust specifications historically given in tonne-force translate to SI MN for international aerospace documentation under Roscosmos-NASA-ESA cooperation conventions. A 102 tf RD-107 first-stage thrust translates to 1000 kN or 1 MN; a 410 tf Soyuz first-stage cluster thrust translates to 4020 kN or 4.02 MN. The conversion runs at every legacy-Soviet-rocket-engine specification to modern international SI aerospace documentation step.

When to use Newtons instead of Kilogram-force

Use newtons whenever the destination is modern SI engineering documentation under ISO, EN-Eurocode, JIS, GB, or international aerospace cooperation conventions where N or kN is the standard engineering reference unit. The N-figure is the universal scientific-and-international-engineering display unit, with kilonewtons (kN) used at industrial-machinery scale and meganewtons (MN) at large-press-and-rocket-engine scale. Stay in kilogram-force when working with legacy continental-European, Russian, Japanese, or Eastern European automotive-service-manual, industrial-equipment specification, or material-test-method documentation where kgf is the original primary unit. The conversion is the universal legacy-to-SI force scale-shift between legacy-industrial-equipment-and-automotive source and modern SI-engineering destination documentation, applied at every cross-international-engineering documentation harmonisation step.

Common mistakes converting kgf to N

  • Treating "1 kgf = 1 N" as a rough equivalence. The two units differ by a factor of about 9.81, and substituting one for the other gives a near-tenfold force-magnitude error. The correct factor is 1 kgf = 9.80665 N exactly.
  • Confusing kgf·m torque with N·m torque. A "10 kgf·m" engine-bolt torque equals 98 N·m, not 10 N·m — applying 10 N·m to a fastener specified at 10 kgf·m results in nearly tenfold under-tightening with consequent joint-slip risk.

Frequently asked questions

How many newtons in 1 kgf?

One kilogram-force equals exactly 9.80665 newtons by definition, with the factor derived from standard gravity g = 9.80665 m/s² exactly applied to a one-kilogram mass. The factor is fixed by the underlying definition rather than measured. The "1 kgf ≈ 9.807 N" reference is universal in modern engineering practice when converting legacy industrial-equipment force specifications.

How many newtons in 10 kgf (engine bolt torque)?

Ten kilogram-force equals 98.07 newtons. That is a typical engine cylinder-head-bolt torque-figure-equivalent in kgf·m units translated to SI N·m, with the kgf-figure on the legacy automotive service-manual primary and the N-figure on the modern SI engineering reference under ISO and JIS conventions.

How many newtons in 250 tonne-force (injection-moulding clamping)?

Two hundred fifty tonne-force (250,000 kgf) equals 2.45 MN or 2450 kN. That is a typical injection-moulding-machine clamping-force figure translated to SI industrial-equipment documentation, with the tonne-force-figure on the legacy industrial-equipment primary and the MN-figure on the modern ISO-and-EN industrial documentation reference.

Quick way to convert kgf to N in my head?

Multiply the kgf figure by 10 — that gives a slight overestimate within 2% of exact. For 1 kgf that gives about 10 N (exactly 9.81 N), for 100 kgf that gives about 1000 N (exactly 981 N), for 1000 kgf that gives about 10,000 N (exactly 9807 N). The exact factor is 9.80665, with the "kgf × 10" rule giving figures slightly high but close enough for everyday engineering work.

How many kgf in 1 N?

One newton equals 0.10197 kilogram-force, with the figure derived from 1 kgf = 9.80665 N exactly. The factor is exact and universal for the inverse conversion. The "1 N ≈ 0.102 kgf" approximation is universal in modern engineering practice for SI-to-legacy-kgf conversion.

When does kgf-to-N conversion appear in real work?

It appears in legacy automotive kgf·m torque translated to SI N·m for modern engineering documentation and in industrial-machinery tonne-force clamping translated to SI kN-and-MN for ISO documentation. It also appears in Brinell-hardness kgf test-loads translated to SI kN for modern ASTM-and-ISO test documentation and in Russian rocket-engine tonne-force thrust translated to SI MN for international aerospace documentation. The conversion is the standard legacy-to-SI force-unit harmonisation step in cross-international engineering work.

How precise should kgf-to-N be for engineering work?

For engineering work the kgf-to-N conversion is exact (factor 9.80665 exactly), and the precision allowance comes from the underlying source-measurement precision. Most engineering documentation rounds to four significant figures (1 kgf ≈ 9.807 N), which is sufficient for typical mechanical, automotive, and industrial applications. Higher-precision applications preserve more digits in the conversion.