Force Unit Converter

Select the force unit you are converting from and the unit you are converting to. Enter a value and the result appears automatically.

Use Swap to reverse the conversion direction. When a valid result exists, the converter carries that result into the new calculation without first reducing it to the three-decimal display value.

You can enter positive values, negative directional components, decimals, or scientific notation such as 2.5e4. Enter decimal equivalents instead of fractions written with a slash.

Use the copy control beside a completed result to place the displayed value and unit on the clipboard.

The converter uses the newton as its common reference unit. Every source value is first represented in newtons and then converted to the selected target unit.

The relationships in the table are the stored conversion constants. The live result may be shortened for display, but these underlying factors are not rounded to three decimal places.

Because every conversion passes through the same reference, the tool does not chain together shortened conversion values from multiple units.

Each supported unit has a factor describing how many newtons are represented by one unit. The entered value is multiplied by the source factor and divided by the target factor.

For example, one pound-force equals 4.4482216152605 newtons. To convert 50 lbf to newtons, multiply 50 by that factor. To convert newtons to pound-force, divide the newton value by the same factor.

Selecting the same source and target unit produces the original value because both sides use the same conversion factor.

Force is a physical interaction that can change an object's motion. A force can cause acceleration, slow an object, change its direction, or deform it.

In basic translational mechanics, net force is related to mass and acceleration by F = ma.

Force is a vector quantity, so a complete physical description includes direction as well as magnitude. This converter changes the numeric unit only; it does not combine or resolve vectors.

The SI derived unit of force is the newton, symbol N.

One newton is the force required to give a mass of one kilogram an acceleration of one metre per second squared. In SI base units, 1 N = 1 kg·m/s².

The name newton was adopted for the metre-kilogram-second unit of force by the 9th General Conference on Weights and Measures in 1948.

A kilonewton, symbol kN, is exactly 1,000 newtons. Kilonewtons keep large engineering values readable: a load of 25,000 N can be written as 25 kN.

Newtons and kilonewtons are widely used in physics, structural engineering, mechanical testing, product specifications, tension measurements, and propulsion.

Pound-force, symbol lbf, is a unit of force based on the international avoirdupois pound and conventional standard gravity. One pound-force equals exactly 4.4482216152605 N.

Pound-force remains common in U.S. customary engineering, engine thrust, cable tension, pull-force ratings, mechanical specifications, and product testing.

A pound-force is not the same physical quantity as a pound of mass. The context is sometimes shortened to “pounds,” but lbf is the clearer symbol when force is intended.

Ounce-force, symbol ozf, is exactly one sixteenth of a pound-force. It is commonly used for smaller actuation, trigger, spring, button, and insertion forces.

Kilogram-force, symbol kgf, is the force associated with one kilogram under conventional standard gravity. One kilogram-force equals exactly 9.80665 N.

Kilogram-force is a gravitational metric unit rather than a coherent SI unit. Scientific and engineering work using SI normally expresses force in newtons.

The unit still appears in machinery ratings, material testing, older technical documents, product specifications, cable tension, and informal descriptions of load.

A kilogram-force is not a kilogram. The kilogram measures mass, while kilogram-force measures force.

The dyne, symbol dyn, is the force unit of the centimetre-gram-second system, commonly called CGS.

One dyne is the force required to accelerate one gram by one centimetre per second squared. It equals exactly 0.00001 N, or 10⁻⁵ N.

The reverse relationship is exact: 1 N = 100,000 dyn.

Dynes now appear mainly in older scientific publications and specialised work that continues to use CGS units.

The newton belongs to the metre-kilogram-second system that developed into the modern International System of Units. Its name honours Isaac Newton and was formally adopted for the MKS unit of force in 1948.

The dyne comes from the older centimetre-gram-second system. Its smaller base units make the dyne much smaller than the newton.

Pound-force and kilogram-force come from gravitational unit systems that connect a unit of mass with a defined standard gravitational acceleration.

Today, newtons and kilonewtons are the standard choices for SI work. Pound-force and ounce-force remain common in U.S. customary engineering, while kilogram-force and dynes are more likely in legacy or specialised contexts.

Force, mass, and weight describe different quantities and should not be treated as interchangeable units.

Mass measures inertia and is expressed in units such as kilograms, grams, pounds, or ounces. Force is expressed in newtons, pound-force, kilogram-force, or another force unit.

Weight is the gravitational force acting on a mass. In SI, weight is measured in newtons and is calculated from mass multiplied by gravitational acceleration.

Everyday language often gives a person's or object's “weight” in kilograms or pounds, even though those units technically describe mass.

Pound-force, kilogram-force, and ounce-force are defined using conventional standard gravity, written g₀, which is exactly 9.80665 m/s².

Standard gravity is a fixed reference value. It does not claim that gravitational acceleration is identical everywhere on Earth.

Actual local gravity varies slightly with latitude, elevation, and geological conditions. Those variations do not change the definitions of lbf, kgf, or ozf.

To calculate the actual gravitational force on a mass at a particular location, use the applicable local acceleration rather than treating a unit conversion as a local-gravity calculation.

The appropriate unit depends on the measurement system, field, size of the force, applicable standards, and the source specification.

Newtons are convenient for ordinary mechanical forces, while kilonewtons are easier to read for larger loads. Pound-force remains common in U.S. customary specifications, and ounce-force is useful for smaller product forces.

Always preserve the unit used by a governing drawing, test method, regulation, or manufacturer unless the converted value is clearly labelled.

The table shows frequently requested conversions using the same factors as the live calculator.

Values that do not terminate neatly are shown with the converter's normal maximum of three decimal places. Exact relationships such as 1 kN = 1,000 N and 16 ozf = 1 lbf remain unrounded.

Ordinary results are displayed with up to three decimal places. Unnecessary trailing zeros are removed, so 98.000 is shown as 98 and 5.620 is shown as 5.62.

Very small non-zero values use scientific notation rather than being rounded to zero. For example, one dyne converts to 1E-5 N.

Very large values may also use scientific notation when a long fixed-format number would be difficult to read.

The displayed result is formatting, not the calculation precision. The converter uses the stored unit factors before shortening the visible value.

A converted value cannot be more reliable than its source measurement. Sensor uncertainty, calibration, resolution, significant figures, and earlier rounding still matter.

Fractions written as expressions are not evaluated. Enter 0.5 rather than 1/2.

A force magnitude is non-negative, but a force component can be negative when it points opposite the direction chosen as positive.

For example, a signed horizontal force of −25 N remains negative when converted to pound-force.

The converter preserves the sign but does not determine what that sign means in a particular coordinate system.

The conversion is performed locally in the browser. The entered force and selected units are not sent to an external conversion service.

The tool does not require an account, append the force value to a public URL, or permanently store a conversion history.

Clipboard access is requested only when you activate the result's copy control.