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Torque & Moment of Force Engineering Converter

Convert between Newton-meters (N·m), kilonewton-meters (kN·m), foot-pounds (ft·lbf), inch-pounds (in·lbf), kilogram-force meters (kgf·m), and dyne-centimeters.

Dimensional Analysis Engine

7 Scientific Units Available

Sci Notation

Decimals:

SOURCE VALUE:N·m

CONVERTED RESULT:

0.1

Reference Presets:

Step-by-Step Dimensional Analysis & Derivation:

1. Base SI value: 100 N·m × (1 SI base / N·m) = 100

2. Target conversion factor: 1 kN·m = 1000 SI base

3. Final quotient: 100 / 1000 = 0.1 kN·m

Complete Multi-Unit Conversion Matrix (7 Units)Click any row to copy value

Unit Name	Symbol	Category	Converted Value
Newton-meter	N·m	SI Base	100
Kilonewton-meter	kN·m	Engineering	0.1
Pound-force foot (Foot-pound)	ft·lbf	Imperial	73.756215
Pound-force inch (Inch-pound)	in·lbf	Imperial	885.074579
Kilogram-force meter	kgf·m	Gravitational	10.197162
Dyne-centimeter	dyn·cm	CGS	1.000000e+9
Newton-centimeter	N·cm	Precision	10,000

What is Torque and Moment of Force?

Torque (rotational force or moment) is the cross product of position vector and force vector ($\tau = r \times F$), measuring the tendency of a force to rotate an object about an axis.

While dimensionally identical to energy ($[M][L]^2[T]^{-2}$), torque is a vector quantity and is strictly expressed in Newton-meters (N·m) or foot-pounds (ft·lbf), never Joules.

Formula & Step-by-Step Calculation

1\,\text{ft}\cdot\text{lbf} = 1.355818\,\text{N}\cdot\text{m}, \quad 1\,\text{N}\cdot\text{m} = 8.850746\,\text{in}\cdot\text{lbf}

Conversion factors between metric and US customary torque standards.

Worked Step-by-Step Examples

Example 1

Convert 450 N·m of engine torque to foot-pounds and inch-pounds.

Solution: 450 N·m ≈ 331.9 ft·lbf ≈ 3,982.8 in·lbf

• Divide by 1.355818 for ft·lbf: 450 / 1.355818 ≈ 331.9 ft·lbf.

• Multiply N·m by 8.850746 for in·lbf: 450 × 8.850746 ≈ 3,982.8 in·lbf.

Common Real-World & Academic Use Cases

✓ Automotive powertrain engineering (engine crankshaft torque and wheel torque)
✓ Structural bolt pre-tensioning and calibrated torque wrench specifications
✓ Robotic joint actuator and servo motor torque ratings
✓ Industrial gearbox and wind turbine drivetrain mechanical design

How to Use the Torque & Moment of Force Engineering Converter

Input Torque

Enter numeric torque value.

Select Source Unit

Select N·m, ft·lbf, in·lbf, or kgf·m.

Inspect Derivation

View the step-by-step conversion and dimensional breakdown.

Frequently Asked Questions

Q: Why is torque not measured in Joules?

Even though 1 N·m = 1 J dimensionally, torque is a vector cross-product perpendicular to rotation, whereas work/energy is a scalar dot-product parallel to displacement.

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