How to Convert Newton-Meters to Foot-Pounds
To convert a torque measurement from newton-meters to foot-pounds, divide the torque value by the conversion factor. Since one newton-meter is equal to 0.737562 foot-pounds, you can use this formula:
The torque in foot-pounds is equal to the newton-meters divided by 1.355818.
Using the formula: foot-pounds = newton-meters ÷ 1.355818
foot-pounds = 5 N·m ÷ 1.355818 = 3.68781 lb·ft
Therefore, 5 newton-meters equals 3.68781 foot-pounds.
How Many Foot-Pounds Are in a Newton-Meter?
There are 0.737562 foot-pounds in one newton-meter.
What Is a Newton-Meter?
The newton-metre (symbol: N·m or N m) is the SI derived unit of torque, also called the moment of force. It is defined as the torque that results from applying a force of one newton perpendicularly to a one-metre-long moment arm. Torque is a measure of rotational force — how much a force acting on an object causes that object to rotate about an axis. The newton-metre quantifies this rotational tendency: a larger torque means a greater tendency to spin or twist. Newton-metres are the standard unit for expressing torque in engineering, automotive, and scientific contexts worldwide. Engine torque, bolt tightening specifications, electric motor output, and joint moments in biomechanics are all expressed in N·m. Newton-metres vs. joules: Although algebraically equivalent (both are kg·m²/s²), the newton-metre and the joule measure different physical quantities. The newton-metre measures torque (rotational force), while the joule measures energy (work done over a distance). By convention, torque is expressed in N·m, never in joules, to avoid confusion. The distinction is similar to radians being dimensionless — torque = force × distance × sin(θ), while energy = force × distance × cos(θ).
One newton-meter is equal to:
- 0.737562 foot-pounds (lb·ft)
- 8.850746 inch-pounds (lb·in)
- 100 newton-centimetres (N·cm)
- 1,000 newton-millimetres (N·mm)
- 10.19716 kilogram-force centimetres (kgf·cm)
- 0.101972 kilogram-force metres (kgf·m)
- 107 dyne-centimetres (dyn·cm)
What Is a Foot-Pound?
The foot-pound (symbol: lb·ft or ft·lbf) is a unit of torque in the US customary and imperial systems. It is defined as the torque that results from applying one pound-force perpendicularly to a one-foot-long moment arm. One foot-pound equals exactly 1.3558179483 newton-metres. The foot-pound is the most commonly used torque unit in the United States, particularly in automotive, construction, and mechanical engineering. Engine torque specifications for cars, trucks, and motorcycles sold in the US are given in lb·ft. Bolt torque specifications for structural steel connections, machinery assembly, and pipe flanges are specified in foot-pounds. In automotive contexts, a typical passenger car engine produces 150–300 lb·ft of torque, while a diesel truck engine may produce 800–2,000 lb·ft. Lug nut torque specifications for passenger vehicles typically range from 80–100 lb·ft. Terminology note: The foot-pound of torque (lb·ft) should not be confused with the foot-pound of energy (ft·lbf). Although the same units are involved, by convention, torque is written “pound-foot” or “lb·ft” (force first, then distance), while energy is written “foot-pound” or “ft·lbf” (distance first, then force). In practice, the terms are often used interchangeably.
One foot-pound is equal to:
- 1.355818 newton-metres (N·m)
- 12 inch-pounds (lb·in)
- 135.5818 newton-centimetres (N·cm)
- 13,825.5 gram-force centimetres (gf·cm)
- 0.138255 kilogram-force metres (kgf·m)
- 1.35582 × 107 dyne-centimetres (dyn·cm)
Understanding Torque Units
Torque (also called moment of force or rotational force) is a measure of the turning effect of a force applied to an object about an axis. It is the rotational equivalent of linear force. Mathematically, torque (τ) equals the cross product of the position vector (r) and the force vector (F): τ = r × F. In simpler terms, torque = force × perpendicular distance from the axis of rotation.
Torque is a vector quantity, with both magnitude and direction. The magnitude depends on three factors: the magnitude of the force, the length of the moment arm (lever arm), and the angle between the force and the moment arm. Maximum torque occurs when the force is applied perpendicularly to the lever arm.
Major Torque Unit Systems
- SI unit — Newton-metre (N·m): The international standard for torque. Defined as the torque from 1 N of force applied at 1 m from the pivot. Used globally in science, engineering, and automotive specifications (especially in Europe, Asia, and international standards).
- US customary — Foot-pound (lb·ft): The primary torque unit in American engineering. Defined as the torque from 1 lbf applied at 1 ft from the pivot. Equals approximately 1.3558 N·m. Commonly used for engine specs, bolt torques, and structural calculations in the US.
- US customary — Inch-pound (lb·in): Used for smaller torque values. Equals 1/12 of a foot-pound. Common in electronics, precision instruments, firearms, and bicycle maintenance.
Torque in Everyday Life
- Automotive engines: A typical car engine produces 150–300 lb·ft (200–400 N·m) of torque. Diesel truck engines can produce 800–2,000 lb·ft (1,085–2,712 N·m).
- Bolt tightening: Car lug nuts are typically tightened to 80–100 lb·ft (108–136 N·m). Spark plugs require 12–30 lb·ft (16–41 N·m).
- Opening a door: Pushing a door open requires roughly 2–5 N·m of torque, depending on how far from the hinge you push.
- Wrenches: A typical 30 cm (1 ft) wrench with 20 kg (44 lb) of hand force produces about 60 N·m (44 lb·ft) of torque.
- Electric motors: Stepper motors in 3D printers produce 0.2–1.0 N·m, while industrial servo motors may produce 5–500 N·m.
Torque vs. Energy
Although torque (N·m) and energy (joules, J) share the same dimensional units (kg·m²/s²), they measure different physical quantities. Torque describes a rotational tendency at a point, while energy describes work done along a path. By convention, torque is always written in N·m and never in joules. Similarly, foot-pounds of torque (lb·ft) are distinguished from foot-pounds of energy (ft·lbf) by the order of the terms.
Converting Between Torque Units
Converting between torque units is straightforward multiplication. The key conversion factors are:
- 1 N·m = 0.737562 lb·ft (exactly 1 / (lbf × ft) in SI units)
- 1 N·m = 8.850746 lb·in
- 1 lb·ft = 1.355818 N·m
- 1 lb·ft = 12 lb·in (exact, since 1 ft = 12 in)
- 1 lb·in = 0.112985 N·m
Tips for Torque Conversions
- The simplest conversion to remember: 1 lb·ft = 12 lb·in (exact), since there are 12 inches in a foot.
- Quick mental approximations: 1 N·m ≈ 0.74 lb·ft, or conversely, 1 lb·ft ≈ 1.36 N·m. Multiply N·m by 0.75 for a rough lb·ft estimate, or multiply lb·ft by 1.35 for a rough N·m estimate.
- For N·m to lb·in, multiply by about 8.85. This is useful for small fastener specifications.
- When using a torque wrench, always ensure you’re reading the correct unit scale. Many torque wrenches have dual scales (N·m and lb·ft).
- Remember that torque specs are critical for safety. Under-torquing can cause joints to loosen, while over-torquing can strip threads or break fasteners. Always use the manufacturer’s recommended torque values.
- The conversion factors are exact because they are derived from defined constants: 1 lb = 0.45359237 kg (exact), 1 ft = 0.3048 m (exact), gn = 9.80665 m/s² (exact).
- In automotive contexts, engine torque and power are related: Power (hp) = Torque (lb·ft) × RPM / 5,252.
Newton-Meters to Foot-Pounds Conversion Table
The following table shows conversions from newton-meters to foot-pounds.
| Newton-Meters | Foot-Pounds (lb·ft) |
|---|---|
| 1 N·m | 0.737562 |
| 2 N·m | 1.47512 |
| 3 N·m | 2.21269 |
| 4 N·m | 2.95025 |
| 5 N·m | 3.68781 |
| 6 N·m | 4.42537 |
| 7 N·m | 5.16294 |
| 8 N·m | 5.9005 |
| 9 N·m | 6.63806 |
| 10 N·m | 7.37562 |
| 11 N·m | 8.11318 |
| 12 N·m | 8.85075 |
| 13 N·m | 9.58831 |
| 14 N·m | 10.3259 |
| 15 N·m | 11.0634 |
| 16 N·m | 11.801 |
| 17 N·m | 12.5386 |
| 18 N·m | 13.2761 |
| 19 N·m | 14.0137 |
| 20 N·m | 14.7512 |
| 21 N·m | 15.4888 |
| 22 N·m | 16.2264 |
| 23 N·m | 16.9639 |
| 24 N·m | 17.7015 |
| 25 N·m | 18.4391 |
| 26 N·m | 19.1766 |
| 27 N·m | 19.9142 |
| 28 N·m | 20.6517 |
| 29 N·m | 21.3893 |
| 30 N·m | 22.1269 |
| 31 N·m | 22.8644 |
| 32 N·m | 23.602 |
| 33 N·m | 24.3396 |
| 34 N·m | 25.0771 |
| 35 N·m | 25.8147 |
| 36 N·m | 26.5522 |
| 37 N·m | 27.2898 |
| 38 N·m | 28.0274 |
| 39 N·m | 28.7649 |
| 40 N·m | 29.5025 |