From newton metres (N·m)
- Newton metres to Kilonewton metresN·m → kN·m
- Newton metres to Pound-feetN·m → lbf·ft
- Newton metres to Pound-inchesN·m → lbf·in
- Newton metres to Kilogram-force metresN·m → kgf·m
Torque conversion family
Torque unit conversions
Torque, or moment of force, is the cross product of a position vector and a force vector; its coherent SI unit is the newton metre (N m).
Five named units
Unit and factor reference
| Unit | Symbol | Factor to base | Relationship | Definition and variant |
|---|---|---|---|---|
| newton metre | N·m | 1 | defined | The newton metre is the coherent SI expression used for torque: force in newtons multiplied by perpendicular lever arm in metres. Named variant: Torque, not energy. The base factor is exactly 1 by the family base-unit choice. |
| kilonewton metre | kN·m | 1000 | exact | A kilonewton metre is exactly 1000 newton metres because kilo denotes 10^3. Named variant: Torque, not energy. The decimal-prefix relationship is exact. |
| pound-foot | lbf·ft | 1.3558179483314003 | exact | This torque unit is one pound-force acting at a perpendicular distance of one international foot; the qualified unit is lbf·ft. Named variant: Pound-force foot using the international foot; not pound mass foot or energy terminology. The raw exact product is 4.4482216152605 N × 0.3048 m = 1.3558179483314003 N·m; the generator emits the route factor once at 15 significant digits. |
| pound-inch | lbf·in | 0.11298482902761668 | exact | This torque unit is one pound-force acting at a perpendicular distance of one international inch; the qualified unit is lbf·in. Named variant: Pound-force inch using the international inch; not pound mass inch. The raw exact product is 4.4482216152605 N × 0.0254 m = 0.11298482902761668 N·m; the generator emits the route factor once at 15 significant digits. |
| kilogram-force metre | kgf·m | 9.80665 | conventional | One kilogram-force metre is one kilogram-force acting at a perpendicular distance of one metre: 1 kgf·m = 9.80665 N·m under standard gravity. Named variant: Standard-gravity kilogram-force metre; non-SI. The terminating factor follows the conventional exact standard-gravity value. |
Every ordered pair
All 20 torque calculators
From kilonewton metres (kN·m)
- Kilonewton metres to Newton metreskN·m → N·m
- Kilonewton metres to Pound-feetkN·m → lbf·ft
- Kilonewton metres to Pound-incheskN·m → lbf·in
- Kilonewton metres to Kilogram-force metreskN·m → kgf·m
From pound-feet (lbf·ft)
- Pound-feet to Newton metreslbf·ft → N·m
- Pound-feet to Kilonewton metreslbf·ft → kN·m
- Pound-feet to Pound-incheslbf·ft → lbf·in
- Pound-feet to Kilogram-force metreslbf·ft → kgf·m
From pound-inches (lbf·in)
- Pound-inches to Newton metreslbf·in → N·m
- Pound-inches to Kilonewton metreslbf·in → kN·m
- Pound-inches to Pound-feetlbf·in → lbf·ft
- Pound-inches to Kilogram-force metreslbf·in → kgf·m
From kilogram-force metres (kgf·m)
- Kilogram-force metres to Newton metreskgf·m → N·m
- Kilogram-force metres to Kilonewton metreskgf·m → kN·m
- Kilogram-force metres to Pound-feetkgf·m → lbf·ft
- Kilogram-force metres to Pound-incheskgf·m → lbf·in
Evidence and review status
This family is machine-reviewed-pending-human. Automated checks verify structure, factor parity and source references; they do not constitute human or specialist approval.
Family assumptions and limits
- Signed values preserve a chosen rotational direction; the sign is not a different torque unit.
- Torque and energy share dimensions, but BIPM specifies newton metre for torque and states that joule must not be used for it.
- The pound-foot and pound-inch slugs preserve established route names for pound-force foot and pound-force inch. The UI uses qualified symbols lbf·ft and lbf·in; lb·ft and lb·in remain ambiguous search aliases only.
- Kilogram-force metre uses standard gravity and is not a kilogram-metre mass product.
- A conversion does not add significant figures to the source measurement.
Authoritative references
- The International System of Units (SI), 9th edition, version 4.01; Bureau International des Poids et Mesures; Cover (V4.01, June 2026); section 2.3.4 on p. 136 defines torque as position vector cross force vector, uses newton metre, and says joule is never used for torque; chapter 3, Table 7 on p. 138 defines kilo.; accessed 2026-08-07
- NIST Guide to the SI, Appendix B.9: Factors for Units Listed by Kind of Quantity or Field of Science; National Institute of Standards and Technology; Moment of Force or Torque table: kgf·m = 9.80665 N·m, lbf·ft = 1.355818 N·m, and lbf·in = 1.129848 E-01 N·m at displayed precision.; accessed 2026-08-07
- NIST Guide to the SI, Footnotes; National Institute of Standards and Technology; Footnotes 22-23 provide the exact 4.4482216152605 N pound-force factor; combined with exact international foot/inch definitions, multiplication gives 1.3558179483314003 N·m per lbf·ft and 0.11298482902761668 N·m per lbf·in before 15-significant-digit emission.; accessed 2026-08-07
- NIST Handbook 44 (2026), Appendix C: General Tables of Units of Measurement; National Institute of Standards and Technology; Pages C-9 to C-10 and C-21 to C-22: exact international definitions 1 ft = 0.3048 m and 1 in = 0.0254 m.; accessed 2026-08-07