Newtons to Kilogram-force (N to kgf)
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Newtons-to-kilogram-force conversions translate modern SI engineering force figures into legacy continental-European, Russian, and Asian industrial-equipment documentation across automotive-service, industrial-machinery, and field-equipment maintenance contexts where the legacy kgf unit remains the original primary specification. A 98 N·m bolt-torque translates to 10 kgf·m for legacy automotive-service-manual documentation; a 2.45 MN injection-moulding clamping translates to 250 tonne-force for legacy industrial-machinery documentation; a 29.4 kN Brinell-hardness load translates to 3000 kgf for legacy material-test-method documentation. The factor is the multiplicative inverse of standard gravity (1 N = 0.10197 kgf, derived from 1 kgf = 9.80665 N exactly).
How to convert Newtons to Kilogram-force
Formula
kgf = N × 0.10197
To convert newtons to kilogram-force, multiply the N figure by 0.10197 — equivalently, divide by 9.80665. The relationship is exact, derived from 1 kgf = 9.80665 N exactly via standard gravity g = 9.80665 m/s² exactly. For mental math, "N ÷ 10" gives a slight underestimate within 2% of exact: 1 N is about 0.1 kgf (exactly 0.102 kgf), 100 N is about 10 kgf (exactly 10.2 kgf), 1000 N is about 100 kgf (exactly 102 kgf). The conversion runs at every modern-SI-source to legacy-kgf-destination engineering boundary across automotive-service, industrial-machinery, material-test, and rocket-engine documentation cross-reference work. The factor is exact rather than approximate, fixed by the standard-gravity definition.
Worked examples
Example 1 — 1 N
One newton equals 0.10197 kilogram-force exactly, derived from 1 kgf = 9.80665 N exactly. The factor is the multiplicative inverse of standard gravity and is fixed by the underlying definition.
Example 2 — 98.0665 N
Ninety-eight point zero seven newtons — equivalent to 10 N·m torque — converts to 10 kgf or 10 kgf·m torque on the legacy automotive-service-manual documentation. The N-figure is the modern SI primary; the kgf-figure is the legacy automotive service-manual reference for older vehicle field-service work.
Example 3 — 2450000 N
Two point four five million newtons (2.45 MN) — a typical injection-moulding-machine clamping force — converts to 250 tonne-force on the legacy industrial-equipment documentation. The MN-figure is the modern ISO-and-EN primary; the tonne-force-figure is the legacy industrial-machinery-installed-base service-and-maintenance reference.
N to kgf conversion table
| N | kgf |
|---|---|
| 1 N | 0.102 kgf |
| 2 N | 0.2039 kgf |
| 3 N | 0.3059 kgf |
| 4 N | 0.4079 kgf |
| 5 N | 0.5099 kgf |
| 6 N | 0.6118 kgf |
| 7 N | 0.7138 kgf |
| 8 N | 0.8158 kgf |
| 9 N | 0.9177 kgf |
| 10 N | 1.0197 kgf |
| 15 N | 1.5296 kgf |
| 20 N | 2.0394 kgf |
| 25 N | 2.5493 kgf |
| 30 N | 3.0591 kgf |
| 40 N | 4.0789 kgf |
| 50 N | 5.0986 kgf |
| 75 N | 7.6479 kgf |
| 100 N | 10.1972 kgf |
| 150 N | 15.2957 kgf |
| 200 N | 20.3943 kgf |
| 250 N | 25.4929 kgf |
| 500 N | 50.9858 kgf |
| 750 N | 76.4787 kgf |
| 1000 N | 101.9716 kgf |
| 2500 N | 254.9291 kgf |
| 5000 N | 509.8581 kgf |
Common N to kgf conversions
- 1 N=0.102 kgf
- 10 N=1.0197 kgf
- 50 N=5.0986 kgf
- 100 N=10.1972 kgf
- 500 N=50.9858 kgf
- 1000 N=101.9716 kgf
- 5000 N=509.8581 kgf
- 10000 N=1019.7162 kgf
- 100000 N=10197.1621 kgf
- 2450000 N=249830.4722 kgf
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.
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.
Real-world uses for Newtons to Kilogram-force
SI bolt-torque N·m translated to legacy kgf·m for older automotive-service-manual documentation
Modern SI bolt-torque specifications under ISO and JIS conventions translate to legacy kgf·m for older Japanese, Russian, and Eastern European automotive-service-manual reference when servicing legacy vehicles in the field. A 98 N·m engine cylinder-head-bolt torque translates to 10 kgf·m; a 49 N·m wheel-lug-nut torque translates to 5 kgf·m; a 117.7 N·m crankshaft-pulley-bolt torque translates to 12 kgf·m. The conversion runs at every modern-vehicle-engineering specification to legacy-vehicle-service documentation cross-reference step in field-service work on older equipment.
SI industrial-machine kN clamping translated to legacy tonne-force for older equipment field-service
Modern SI industrial-machine clamping-force-and-tonnage specifications translate to legacy tonne-force for older European-and-Russian industrial-equipment-installed-base service-and-maintenance documentation in field-service work on the legacy-equipment-installed-base. A 2.45 MN injection-moulding clamping translates to 250 tonne-force; a 9.8 MN metal-stamping-press clamping translates to 1000 tonne-force; a 490 kN compact-press clamping translates to 50 tonne-force; a 19.6 MN ultra-large-stamping-press translates to 2000 tonne-force. The conversion runs at every modern-equipment-import specification to legacy-equipment-installed-base service documentation cross-reference step in industrial maintenance work.
SI Brinell-and-Rockwell kN translated to legacy kgf for older test-equipment field-calibration
Modern SI Brinell-hardness, Rockwell-hardness, and tensile-strength test-load specifications under modern ASTM-and-ISO documentation translate to legacy kgf for older field-test-equipment-installed-base calibration documentation. A 29.42 kN Brinell-hardness test-load translates to 3000 kgf; a 4.9 kN softer-material Brinell-hardness load translates to 500 kgf; a 980 N Rockwell-hardness major-load translates to 100 kgf. The conversion runs at every modern-test-method to legacy-test-equipment-calibration documentation cross-reference step.
SI rocket-engine MN thrust translated to legacy tonne-force for Russian-aerospace documentation
Modern SI rocket-engine thrust specifications under international aerospace cooperation conventions translate to legacy tonne-force for Russian-aerospace-installed-base documentation under Roscosmos legacy-engineering conventions and Soviet-era engineering-archive cross-reference. A 1 MN RD-107-class first-stage thrust translates to 102 tonne-force; a 4.02 MN Soyuz first-stage cluster thrust translates to 410 tonne-force; an 8 MN RD-180-class engine thrust translates to 815 tonne-force. The conversion runs at every modern-aerospace specification to legacy-Russian-aerospace documentation cross-reference step in international-cooperation aerospace work between Roscosmos and NASA-or-ESA partner agencies.
When to use Kilogram-force instead of Newtons
Use kilogram-force whenever the destination is legacy continental-European, Russian, Japanese, or Eastern European automotive-service-manual, industrial-equipment specification, or material-test-method field-equipment documentation where kgf is the original primary unit on the installed-base service literature. The kgf-figure is the legacy industrial-equipment-and-automotive-service display unit, with tonne-force (1000 kgf) used at industrial-machinery clamping-force scale and individual kgf at automotive-and-mechanical-fastener scale. Stay in newtons when the destination is modern SI engineering documentation under ISO, EN-Eurocode, JIS, GB, or international aerospace cooperation conventions where N or kN is the primary unit. The conversion is the universal SI-to-legacy force scale-shift between modern SI-engineering source and legacy-industrial-equipment-and-automotive destination documentation, applied across automotive-service, industrial-machinery, material-test, and Russian-aerospace cross-reference work.
Common mistakes converting N to kgf
- Treating "1 N = 1 kgf" 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 N = 0.10197 kgf exactly.
- Forgetting to apply the factor when converting tonne-force. A 1 MN force is 102 tonne-force exactly — not 1 tonne-force or 1000 tonne-force. The MN-to-tonne-force step requires the proper 0.10197 factor applied to the N-figure first, or division by 9806.65 directly.
Frequently asked questions
How many kgf in 1 newton?
One newton equals 0.10197 kilogram-force exactly, with the figure derived from 1 kgf = 9.80665 N exactly via standard gravity. The factor is fixed by the underlying definition rather than measured. The "1 N ≈ 0.102 kgf" reference is universal when converting modern SI force figures to legacy industrial-equipment-and-automotive kgf documentation.
How many kgf in 98 N (engine bolt torque)?
Ninety-eight newtons equals 10 kgf (or 10 kgf·m for the equivalent torque figure). That is a typical engine cylinder-head-bolt torque translated to legacy automotive-service-manual documentation. The N-figure sits on the modern SI primary and the kgf-figure sits on the legacy Japanese-and-Eastern-European service-manual reference for older vehicle field-service work.
How many tonne-force in 2.45 MN (injection-moulding clamping)?
Two point four five meganewtons (2,450,000 N) equals 250 tonne-force. That is a typical injection-moulding-machine clamping force translated to legacy industrial-machinery documentation. The MN-figure sits on the modern ISO-and-EN primary and the tonne-force-figure sits on the legacy European-installed-base service-and-maintenance reference.
Quick way to convert N to kgf in my head?
Divide the N figure by 10 — that gives a slight underestimate within 2% of exact. For 1 N that gives about 0.1 kgf (exactly 0.102 kgf), for 100 N that gives about 10 kgf (exactly 10.2 kgf), for 1000 N that gives about 100 kgf (exactly 102 kgf). The exact factor is 0.10197, with the "N ÷ 10" rule giving figures slightly low but close enough for everyday engineering work.
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 and exact. The "1 kgf = 9.807 N" reference is universal in modern engineering practice when converting legacy industrial-equipment force specifications to SI.
When does N-to-kgf conversion appear in real work?
It appears in SI bolt-torque N·m translated to legacy kgf·m for older automotive-service-manual documentation and in SI industrial-machine kN clamping translated to legacy tonne-force for older equipment field-service. It also appears in SI Brinell-and-Rockwell kN translated to legacy kgf for older test-equipment field-calibration and in SI rocket-engine MN thrust translated to legacy tonne-force for Russian-aerospace documentation. The conversion is the standard SI-to-legacy force-unit cross-reference step in legacy-equipment field-service work globally.
How precise should N-to-kgf be for engineering work?
For engineering work the N-to-kgf conversion is exact (factor 0.10197 exactly), and the precision allowance comes from the underlying source-measurement precision. Most engineering documentation rounds to four significant figures (1 N ≈ 0.1020 kgf), which is sufficient for typical automotive, mechanical, and industrial applications. Higher-precision applications preserve more digits in the conversion.