How to Convert Newton-Meters to Inch-Pounds
To convert a torque measurement from newton-meters to inch-pounds, multiply the torque value by the conversion factor. Since one newton-meter is equal to 8.850746 inch-pounds, you can use this formula:
The torque in inch-pounds is equal to the newton-meters multiplied by 8.850746.
Using the formula: inch-pounds = newton-meters × 8.850746
inch-pounds = 5 N·m × 8.850746 = 44.2537 lb·in
Therefore, 5 newton-meters equals 44.2537 inch-pounds.
How Many Inch-Pounds Are in a Newton-Meter?
There are 8.850746 inch-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 Inch-Pound?
The inch-pound (symbol: lb·in or in·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-inch-long moment arm. One inch-pound equals exactly 1/12 of a foot-pound, or approximately 0.112985 newton-metres. Inch-pounds are used for smaller torque specifications where foot-pounds would result in inconveniently small numbers. Common applications include tightening screws, bolts, and fasteners in electronics, precision instruments, firearms, and small mechanical assemblies. In electronics manufacturing, circuit board standoffs and connector screws are typically tightened to 3–10 lb·in. In firearms, scope mount screws are often torqued to 15–25 lb·in, and action screws to 40–65 lb·in. In bicycle maintenance, many small fasteners (stem bolts, seat clamp bolts, derailleur limit screws) have torque specifications given in inch-pounds, typically in the range of 20–80 lb·in. Torque wrenches designed for bicycle work are usually calibrated in inch-pounds. The relationship between inch-pounds and foot-pounds is exact: 1 lb·ft = 12 lb·in, since there are exactly 12 inches in one foot.
One inch-pound is equal to:
- 0.112985 newton-metres (N·m)
- 0.083333 foot-pounds (lb·ft)
- 11.29848 newton-centimetres (N·cm)
- 1,152.12 gram-force centimetres (gf·cm)
- 0.011521 kilogram-force metres (kgf·m)
- 1.12985 × 106 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 Inch-Pounds Conversion Table
The following table shows conversions from newton-meters to inch-pounds.
| Newton-Meters | Inch-Pounds (lb·in) |
|---|---|
| 1 N·m | 8.85075 |
| 2 N·m | 17.7015 |
| 3 N·m | 26.5522 |
| 4 N·m | 35.403 |
| 5 N·m | 44.2537 |
| 6 N·m | 53.1045 |
| 7 N·m | 61.9552 |
| 8 N·m | 70.806 |
| 9 N·m | 79.6567 |
| 10 N·m | 88.5075 |
| 11 N·m | 97.3582 |
| 12 N·m | 106.209 |
| 13 N·m | 115.06 |
| 14 N·m | 123.91 |
| 15 N·m | 132.761 |
| 16 N·m | 141.612 |
| 17 N·m | 150.463 |
| 18 N·m | 159.313 |
| 19 N·m | 168.164 |
| 20 N·m | 177.015 |
| 21 N·m | 185.866 |
| 22 N·m | 194.716 |
| 23 N·m | 203.567 |
| 24 N·m | 212.418 |
| 25 N·m | 221.269 |
| 26 N·m | 230.119 |
| 27 N·m | 238.97 |
| 28 N·m | 247.821 |
| 29 N·m | 256.672 |
| 30 N·m | 265.522 |
| 31 N·m | 274.373 |
| 32 N·m | 283.224 |
| 33 N·m | 292.075 |
| 34 N·m | 300.925 |
| 35 N·m | 309.776 |
| 36 N·m | 318.627 |
| 37 N·m | 327.478 |
| 38 N·m | 336.328 |
| 39 N·m | 345.179 |
| 40 N·m | 354.03 |