Force Converter

Type a value, pick a unit, and every other force unit fills in at once. The scale underneath places your number against forces you have felt, from a mosquito landing on your arm to a rocket leaving the pad.

Force conversion workbench

N

Enter a force magnitude. Every unit in the table below updates as you type.

1 newton

Roughly the weight of a small apple resting in your palm

Where this force sits

Logarithmic, each step is ten times the last

About the same as an apple held still against gravity

Every unit at once

UnitSymbolValueCopy

A newton weighs about as much as an apple

Hold a medium apple in your open palm. Your hand pushes up with roughly one newton. That is the whole unit, and the smallness of it surprises people who meet the word before the sensation. A newton is not a heroic quantity. Structural engineers count them in thousands, rocket engineers in millions, and a lab measuring the pull between two magnets counts them in thousandths.

The definition sits behind the apple. One newton accelerates one kilogram at one metre per second squared. Mass, acceleration, force. Three quantities locked together by F = m × a, and every other force unit on this page is a repackaging of the same relationship with different numbers bolted on.

1 kgMass
1 m/s²Acceleration
1 NForce
Swap the acceleration for gravity1 kg × 9.80665 m/s² = 9.80665 N, and that number gets renamed 1 kgf
Swap the mass for a pound0.4536 kg × 9.80665 m/s² = 4.44822 N, and that number gets renamed 1 lbf
Every gravitational force unit is the newton with a planet folded into it.

Pounds do two jobs and the paperwork rarely says which

A spec sheet says 500 lb. Is the part heavy, or is the part being pulled?

Pound-mass and pound-force share a name and share a number at sea level on Earth, which is exactly why the ambiguity survives. A 500 lb component has a mass. The 500 lb rating on a shackle is a force. Convert the first with the Mass Converter, convert the second here, and the two answers differ by a factor of 9.80665 once you land in metric units. Feeding a mass figure into a force calculation is the single most common error in this corner of engineering, and no converter will catch it for you, because 500 looks identical either way.

The safe habit is boring. Write the unit out in full at the point of entry. Lbm or lbf, never bare lb.

The kilogram-force smuggles Earth's gravity into your maths

Kilogram-force and its smaller sibling gram-force are convenience units. Someone decided that quoting a load as 40 kgf reads better on a shop floor than 392.27 N, and they were right about the ergonomics.

The cost shows up when the assumption travels. Kgf is defined against standard gravity of 9.80665 m/s², a fixed constant rather than a measurement of your actual location. Real gravity runs from about 9.764 m/s² near the equator at altitude to 9.834 m/s² at the poles. A load cell calibrated in kgf in Oslo reads a few hundredths of a percent off the same load in Quito. For a workshop scale nobody cares. For a metrology lab certifying a force transducer, the correction gets applied on paper before anything is signed.

Off Earth the unit stops meaning anything useful at all. A 10 kgf spring on Mars still stores the same energy, but the mass it balances against changes entirely.

Poundals, kips and the units that survive out of habit

The poundal exists because someone wanted an imperial force unit with no gravity constant in it. One poundal accelerates one pound-mass at one foot per second squared, which works out to 0.138255 N, a genuinely tiny force. You will meet it in older British textbooks and almost nowhere else. It is included here because scanned technical documents from the 1950s still circulate.

The kip is the opposite story. A thousand pounds-force, still used daily in North American structural work because beam reactions and column loads land naturally in that range. Writing 47 kips beats writing 47,000 lbf on a drawing. Tonne-force does the same job in metric practice at 9806.65 N, which is why crane and hoist ratings so often appear as plain tonnes.

Dynes sit at the far end. One hundred-thousandth of a newton, a leftover from the CGS system, still turning up in surface tension figures and older physics papers where forces are measured on tiny scales.

Where these conversions actually get used

Bolt torque specs arrive in newton metres while the clamping load behind them is quoted in kN. Suspension spring rates come as lbf per inch on an American car and N per mm on a European one, and anyone swapping parts between the two works through a force conversion before touching a spanner. Tensile test reports state peak load in kN, which a materials engineer divides by cross-sectional area to reach a stress figure and then hands to the Pressure Converter.

Climbing hardware carries a kN rating stamped into the metal. A carabiner marked 24 kN holds roughly 2,447 kgf along its major axis, and seeing both numbers side by side is what makes the rating feel real to someone new to the sport.

Force rarely travels alone. A load moving through a distance becomes work, so the Energy Converter picks up where this one stops. Divide by time instead and you are in the territory of the Power Converter. When the input you have is a bare weight in kilograms or pounds rather than a force, start at the Weight Converter and multiply by gravity afterwards.

What this converter will not do for you

  • It assumes standard gravity. Kgf, gf, lbf, ozf, tonne-force and kip all convert at 9.80665 m/s². Off-planet work, high-precision metrology and geophysical survey work need the local value substituted by hand.
  • It converts magnitudes, not vectors. Force has direction. Two 100 N pulls at right angles sum to 141 N, not 200 N. Resolve your components before you convert.
  • It cannot tell mass from force. Enter a mass figure and you get a clean, confident, wrong answer. The check happens at the keyboard.
  • Floating point rounds. Values are held in JavaScript doubles, so results carry about 15 reliable digits. Convert back and forth enough times and the last digit drifts. For anything certified, quote the source figure and the factor rather than a chain of conversions.
  • Ton is ambiguous. Tonne-force here means the metric tonne at 9806.65 N. Short tons and long tons differ, so confirm which one a supplier means before trusting a rating.

How the numbers are handled

Everything converts through newtons as a pivot. Your entry is turned into newtons once, then each output unit is derived from that single value, which keeps rounding to one step rather than compounding across a ten by ten table of factors. Results switch to scientific notation past a million or below a thousandth, since a dyne reading for a rocket-scale force is otherwise unreadable.

Nothing leaves your browser. The conversion runs in JavaScript on your machine, and the value and unit pair rides along in the URL when you copy the link, so a colleague opens the same figure rather than a blank form.

Force conversion questions worth answering

The points that trip people up most often, answered without the textbook detour.

How many newtons are in 1 pound-force?

One pound-force equals 4.4482216152605 newtons. The factor comes from a pound-mass of 0.45359237 kg multiplied by standard gravity of 9.80665 m/s squared. Going the other way, one newton is 0.224809 lbf.

Is a kilogram the same as a kilogram-force?

No. A kilogram measures mass, a kilogram-force measures the weight that mass produces under standard gravity. One kgf equals 9.80665 N. On the Moon the same kilogram of mass produces about one sixth of that force, while the mass itself is unchanged.

Why does my textbook use poundals instead of pound-force?

Poundals come from a version of the imperial system built to avoid a gravity constant, defined as one pound-mass accelerated at one foot per second squared. One poundal is 0.138255 N. Older British engineering texts favour it, and modern work almost never does.

What does a kN rating on climbing gear mean?

It states the minimum force the piece held during destructive testing, in kilonewtons. A 24 kN carabiner withstood 24,000 N along its major axis, roughly 2,447 kgf or 5,395 lbf. It is a breaking figure from a lab, not a working load limit for daily use.

Does gravity where I live change the conversion?

Slightly, for the gravity-based units. Kgf, lbf and the rest are defined against a fixed 9.80665 m/s squared rather than local gravity, which varies by about 0.5 percent between the equator and the poles. Workshop work ignores this. Calibration labs correct for it.

How do I convert a weight in kilograms to newtons?

Multiply the mass in kilograms by 9.80665. A 70 kg person presses down with about 686 N. Enter the mass value as kilogram-force in this converter and read the newton row for the same result.

Which unit should an engineering drawing use?

Newtons or kilonewtons for anything metric, since SI keeps force and mass separated by definition. North American structural drawings use kips and pounds-force by convention. Match whatever the receiving discipline reads daily, and label the unit rather than leaving a bare number.