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Torque

How To Convert Torque Units

Torque is a turning force, measured in newton-metres, foot-pounds or kilogram-metres depending on the workshop. A converter routes every value through the newton-metre so the factors stay exact.

Quick Answer

Result = value x from-factor / to-factor

value
Amount you start with
from
Size of the source unit in newton-metres
to
Size of the target unit in newton-metres

Every torque unit has a fixed size in newton-metres. One foot-pound is 1.3558179483 newton-metres, one kilogram-metre is 9.80665 and one inch-pound is 0.112984829, so one newton-metre is about 0.7375621 foot-pounds.

What Is How To Convert Torque Units?

Torque is the turning effect of a force, equal to the force multiplied by the perpendicular distance from the pivot. The SI unit is the newton-metre, and it is the base for every other torque unit.

A foot-pound is the torque of one pound of force applied at one foot from the pivot. It equals about 1.3558179483 newton-metres and is the customary unit in the United States.

A kilogram-metre, sometimes written kilogram-force metre, is the torque of one kilogram of force at one metre. Because it uses the weight of a kilogram, it equals 9.80665 newton-metres.

An inch-pound is a twelfth of a foot-pound and equals about 0.112984829 newton-metres. It appears on small fasteners and precision instruments where foot-pounds are too coarse.

The converter expresses every unit as a size in newton-metres and converts by multiplying the value by the source factor and dividing by the target factor. That keeps every pair consistent.

The everyday conversion is newton-metres to foot-pounds. Multiply the newton-metres by 0.7375621, or divide by 1.3558179483, to get foot-pounds.

Going the other way, multiply foot-pounds by 1.3558179483 to get newton-metres. The factor is close to four thirds, which is why mechanics often approximate by multiplying by 1.356.

The kilogram-metre is not the same as the newton-metre even though both use a metre. The kilogram-metre includes the acceleration of gravity, so it is about 9.81 times larger.

The inch-pound is much smaller than the foot-pound, by a factor of twelve. A specification quoted in inch-pounds looks numerically larger for the same torque, so always check the unit.

The converter expresses every unit as a size in newton-metres and converts by multiplying the value by the source factor and dividing by the target factor. That keeps every pair consistent.

A frequent mistake is to confuse torque with energy. Both can be written as a force times a distance, but torque is a vector and energy is a scalar, and they are not interchangeable.

A second common error is to mix up the kilogram-metre and the newton-metre. Using 1 instead of 9.80665 for the kilogram-metre makes the answer about nine point eight times too small.

Every torque wrench is marked in one unit, so a specification in another must be converted before the wrench is set. A bolt calling for 100 newton-metres needs about 74 foot-pounds.

Automotive work mixes the two systems freely. An engine may be rated in newton-metres in Europe and pound-feet in the United States, so the same engine carries two different numbers.

Small fasteners are often specified in inch-pounds, where the numbers are large for a small torque. A specification of 100 inch-pounds is only about 8.3 foot-pounds.

The kilogram-metre appears in older European manuals and includes the acceleration of gravity, which is why it is about 9.81 newton-metres rather than one.

Torque and power are linked through angular speed, so a torque figure alone does not tell you how fast work is done. Converting torque and speed together gives the power in watts.

Bicycle and motorcycle manuals mix units, and a stem bolt might be specified in newton-metres while a wheel nut is in foot-pounds. Converting both to one unit before starting avoids reaching for the wrong setting.

Calibration certificates usually state the unit the wrench was tested in. If that differs from the specification, convert the specification rather than the certificate, so the reference stays untouched.

A torque-angle specification combines a torque value with a further rotation, so the unit matters for the first stage only. Converting that first figure correctly is what sets the fastener before the angle stage begins.

The calculator models the fixed relationships between the units and nothing more. It does not know the tolerance of your fastener or the accuracy of your wrench, so treat the output as exact arithmetic on the number you entered.

Formula

Result = value x from / to

Each unit is expressed in newton-metres, so the ratio of factors converts directly.

SymbolMeaning
vValue
fFrom factor
tTo factor

ft-lb = N-m x 0.7375621

One foot-pound is 1.3558179483 newton-metres, so the reciprocal is 0.7375621.

SymbolMeaning
NmNewton-metres
ftlbFoot-pounds

How To Calculate How To Convert Torque Units

  1. 1

    Enter the amount

    Type the torque value you want to convert.

  2. 2

    Pick the source unit

    Choose the unit the value is currently in, such as newton-metres.

  3. 3

    Pick the target unit

    Choose the unit you want, such as foot-pounds.

  4. 4

    Multiply by the source factor

    The value is expressed in newton-metres using the source unit's size.

  5. 5

    Divide by the target factor

    Converting from the base newton-metre into the target unit gives the answer.

Examples

Example 1: 1 newton-metre to foot-pounds

Amount
1
From unit
Newton-meter
To unit
Foot-pound
StepCalculationResult
Foot-pounds per newton-metre1 / 1.3558180.7375621
One newton-metre in foot-pounds1 x 0.73756210.7375621
One hundred newton-metres100 x 0.737562173.75621

Result: One newton-metre is 0.7375621 foot-pounds, so a 100 newton-metre setting is 73.75621 foot-pounds.

Example 2: 12 inch-pounds to foot-pounds

Amount
12
From unit
Inch-pound
To unit
Foot-pound
StepCalculationResult
Inch-pounds to newton-metres12 x 0.11298481.3558176
Newton-metres to foot-pounds1.3558176 / 1.3558181
Kilogram-metres per foot-pound1.355818 / 9.806650.138255

Result: Twelve inch-pounds is 1 foot-pound, which is 0.138255 kilogram-metres.

Calculator

Converted value

0.7375621493

Value in newton-metres
1

Values update as you type. This calculator covers the single scenario its formula assumes — see Common Mistakes for what it leaves out.

Prefer a full-width tool? Open the How To Convert Torque Units calculator page.

Common Mistakes

  • Confusing kilogram-metres with newton-metres

    The kilogram-metre includes gravity and is about 9.80665 newton-metres. Treating them as equal is a factor of nearly ten.

  • Forgetting that 12 inch-pounds is 1 foot-pound

    The inch-pound is much smaller, so a spec in inch-pounds is a different number for the same torque.

  • Rounding the foot-pound factor too early

    One newton-metre is 0.7375621 foot-pounds. Using 0.74 accumulates error across a range of settings.

  • Treating torque as energy

    Both involve a force and a distance, but torque is a vector and energy is a scalar. They are not interchangeable.

  • Over-tightening by unit slip

    Applying a foot-pound figure as newton-metres, or the reverse, can over- or under-tighten a fastener by about 35 percent.

  • Ignoring the direction of the conversion

    Multiplying when you should divide inverts the answer. Check that a larger unit gives a smaller number.

FAQ

What is the base unit of torque?

The newton-metre. Every other unit is expressed as a size in newton-metres.

How many foot-pounds in one newton-metre?

About 0.7375621. One foot-pound is 1.3558179483 newton-metres.

What is a kilogram-metre?

The torque of one kilogram of force at one metre, equal to 9.80665 newton-metres. It is not the same as a newton-metre.

How many inch-pounds in a foot-pound?

Twelve. One foot-pound is 12 inch-pounds.

Is torque the same as energy?

No. Torque is a turning force and a vector, while energy is a scalar. They share units only in appearance.

How do I convert foot-pounds to newton-metres?

Multiply the foot-pounds by 1.3558179483. To go the other way, multiply newton-metres by 0.7375621.

References

  1. [1]National Institute of Standards and Technology, Units of torque — https://www.nist.gov/pml/owm
  2. [2]Encyclopaedia Britannica, Torque — https://www.britannica.com/science/torque
  3. [3]Wolfram MathWorld, Newton-metre — https://mathworld.wolfram.com/Torque.html