Moment of Force Converter
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| Unit | Equivalent Value |
|---|
Moment of force (commonly referred to as Torque, symbolized by τ or M) measures the quantitative rotational tendency of a force applied at a perpendicular distance from an axis of rotation (τ = r × F = r · F · sinθ). Across mechanical engineering, automotive powertrain design, structural beam analysis, bolt torque wrench calibration, robotics joint control, and heavy industrial machinery, moment of force is categorized into three primary unit standards: International System of Units (SI metric base: Newton Meters / N·m, Kilonewton Meters / kN·m, Millinewton Meters / mN·m), Imperial / US Customary metrics (Pound-Force Feet / lbf·ft, Pound-Force Inches / lbf·in, Poundal Feet / pdl·ft), and gravitational force metrics (Kilogram-Force Meters / kgf·m, Gram-Force Centimeters / gf·cm, Metric Ton-Force Meters / tf·m).
Our free online Moment of Force Converter provides instant, high-precision conversions across all SI metric, Imperial engineering, gravitational, and structural moment units:
- Pound-Force Feet to Newton Meters (lbf·ft to N·m): Multiply lbf·ft by
1.35581795(1 lbf·ft = 1.35582 N·m = 0.138255 kgf·m = 12 lbf·in). - Newton Meters to Pound-Force Feet (N·m to lbf·ft): Multiply N·m by
0.73756215(1 N·m = 0.73756 lbf·ft = 8.85075 lbf·in = 0.101972 kgf·m). - Kilogram-Force Meters to Newton Meters (kgf·m to N·m): Multiply kgf·m by
9.80665(1 kgf·m = 9.80665 N·m = 7.23301 lbf·ft). - Pound-Force Inches to Newton Meters (lbf·in to N·m): Multiply lbf·in by
0.11298483(1 N·m = 8.85075 lbf·in). - Kilonewton Meters to Newton Meters (kN·m to N·m):
1 kN·m = 1,000 N·m = 737.562 lbf·ft = 0.101972 tf·m. - Metric Ton-Force Meters (tf·m) to N·m:
1 tf·m = 9,806.65 N·m = 9.80665 kN·m = 7,233.01 lbf·ft.
Master Moment of Force & Torque Unit Conversion Table
The table below displays exact mathematical relationships, SI N·m multipliers, and imperial lbf·ft equivalents relative to 1 Newton Meter (1 N·m):
| Moment of Force Unit Name | Symbol | Exact Value in N·m | lbf·ft, lbf·in & kgf·m Equivalent | Domain & Technical Application Standard |
|---|---|---|---|---|
| 1 Newton Meter | N·m |
1.0 N·m (Base SI Unit) |
0.737562 lbf·ft (8.85075 lbf·in / 0.101972 kgf·m) |
SI Fundamental Rotational Moment & Torque Standard |
| 1 Pound-Force Foot | lbf·ft, ft·lb |
1.35581795 N·m |
1.0 lbf·ft (12.0 lbf·in / 0.138255 kgf·m) |
US Automotive Engine & Bolt Torque Standard |
| 1 Kilogram-Force Meter | kgf·m |
9.80665 N·m (Exact gn) |
7.23301 lbf·ft (86.7962 lbf·in / 0.009807 kN·m) |
European & Japanese Traditional Motor Metric |
| 1 Pound-Force Inch | lbf·in, in·lb |
0.11298483 N·m |
0.083333 lbf·ft (0.011521 kgf·m) | Precision Machine Fasteners & Small Motors |
| 1 Kilonewton Meter | kN·m |
1,000.0 N·m |
737.562 lbf·ft (101.972 kgf·m / 0.10197 tf·m) | Heavy Truck Engines & Structural Beam Bending |
| 1 Metric Ton-Force Meter | tf·m |
9,806.65 N·m (9.80665 kN·m) |
7,233.01 lbf·ft (1,000.0 kgf·m) | Ship Propeller Shafts & Heavy Crane Moments |
| 1 Millinewton Meter | mN·m |
0.001 N·m (10-3 N·m) |
0.0007376 lbf·ft (0.008851 lbf·in / 10.197 gf·cm) | Micro-Robotics & Watchmaking Balance Wheels |
| 1 Gram-Force Centimeter | gf·cm |
0.0000980665 N·m |
0.00007233 lbf·ft (0.0008680 lbf·in) | Precision Miniature Instrument Shafts |
| 1 Poundal Foot | pdl·ft |
0.04214011 N·m |
0.031081 lbf·ft (0.37297 lbf·in) | Absolute FPS System Theoretical Mechanics |
Step-by-Step Torque Calculation Example
To convert an automotive engine torque output of 350 Newton Meters (350 N·m) into Imperial Pound-Force Feet (lbf·ft) and Kilogram-Force Meters (kgf·m):
Step 1 (Imperial lbf·ft): τ = 350 × 0.73756215 = 258.1467 lbf·ft (258.15 lbf·ft)
Step 2 (Metric kgf·m): τ = 350 ÷ 9.80665 = 35.6899 kgf·m (35.69 kgf·m)
Step 3 (Imperial lbf·in): τ = 258.1467 × 12 = 3,097.76 lbf·in
Thus, an engine torque of 350 N·m equals 258.15 lbf·ft (or 35.69 kgf·m / 3,097.76 lbf·in).
Real-World Automotive, Fastener & Structural Torque Benchmarks
Below is a comparative reference chart showing moment of force values across electronics screws, automotive wheel lugs, V8 engines, EV powertrains, and wind turbines:
| Mechanical Fastener / Machinery System | Moment of Force in SI Units (N·m / kN·m) | Imperial Equivalent (lbf·ft / lbf·in) | Mechanical Engineering Context |
|---|---|---|---|
| Electronics Precision Screw (M2.5 Bolt) | 0.50 N·m (500.0 mN·m) | 4.425 lbf·in (0.369 lbf·ft) | Computer motherboard fastener tightening torque limit |
| Automotive Passenger Car Wheel Lug Nut | 110.0 N·m (11.22 kgf·m) | 81.13 lbf·ft (973.58 lbf·in) | Standard sedan wheel stud torque specification |
| Average 2.0L Turbocharged Sedan Engine | 350.0 N·m (35.69 kgf·m) | 258.15 lbf·ft | Modern turbocharged internal combustion engine peak torque |
| High-Performance EV (Tesla Model S Plaid) | 1,420.0 N·m (1.42 kN·m) | 1,047.34 lbf·ft (144.80 kgf·m) | Tri-motor electric powertrain combined shaft torque |
| Heavy Commercial Freight Semi-Truck Engine | 2,500.0 N·m (2.50 kN·m) | 1,843.91 lbf·ft (254.93 kgf·m) | Heavy-duty Class 8 turbodiesel transport engine torque |
| Commercial 5MW Wind Turbine Main Shaft | 5,000.0 kN·m (5.0 MN·m) | 3,687,810.0 lbf·ft (509,858.0 kgf·m) | Massive low-speed direct-drive wind generator shaft moment |
History & Physics: c. 260 BC Archimedes Lever Principle vs. 1884 James Thomson Torque Coining
c. 260 BC Archimedes & the Principle of the Lever
Around 260 BC, ancient Greek mathematician Archimedes of Syracuse formulated the mathematical law of the lever in On the Equilibrium of Planes. Archimedes established that rotational equilibrium occurs when opposing rotational moments balance: F1 · d1 = F2 · d2. His famous quote, “Give me a lever long enough and a fulcrum on which to place it, and I shall move the world,” laid the foundation for static rotational moments.
1884 James Thomson & Coining the Term “Torque”
In 1884, Scottish engineer James Thomson (brother of Lord Kelvin) formally introduced the word torque into engineering vocabulary, deriving it from the Latin verb torquere (“to twist”). Thomson coined the term to distinguish the rotational moment causing shaft twist from linear pushing forces, establishing the Newton Meter (N·m) as the core metric of mechanical rotational power (Power P = τ · ω).
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Frequently Asked Questions (FAQ)
How do you convert lbf·ft to N·m?
To convert Pound-Force Feet (lbf·ft) to Newton Meters (N·m), multiply lbf·ft by 1.355818. For example, 100 lbf·ft × 1.355818 = 135.58 N·m.
How do you convert N·m to lbf·ft?
To convert Newton Meters (N·m) to Pound-Force Feet (lbf·ft), multiply N·m by 0.737562 (or divide by 1.355818). For example, 300 N·m × 0.737562 = 221.27 lbf·ft.
How many lbf·in are in 1 lbf·ft?
There are exactly 12 Pound-Force Inches (lbf·in) in 1 Pound-Force Foot (lbf·ft). To convert lbf·in to N·m, multiply lbf·in by 0.112985.
What is 1 Kilogram-Force Meter (kgf·m) in N·m and lbf·ft?
1 Kilogram-Force Meter (kgf·m) equals exactly 9.80665 N·m, which equals approximately 7.23301 lbf·ft.