How Long Is a Kilogram of Wire?
For solid round wire, diameter and material density give a theoretical conversion between length and metal weight. Coatings, tolerances and packaging change the delivered figures.
Solid round wire
Using an assumed steel density of 7.85 g/cm³, theoretical mass in kg per metre is approximately 0.00617 × diameter², with diameter in millimetres. For aluminium at 2.70 g/cm³, use approximately 0.00212 × diameter².
Metres per kilogram = 1 ÷ mass per metre. These rounded coefficients are estimating tools, not guaranteed product weights. Steel grade and aluminium alloy can change density.
Reference table
Bare, solid round wire; no coating or spool. Figures use the rounded coefficients above.
| Diameter, mm | Steel, kg per 1,000 m | Steel, metres per kg | Aluminium, metres per kg |
|---|---|---|---|
| 0.3 | 0.555 | 1801 | 5241 |
| 0.4 | 0.987 | 1013 | 2948 |
| 0.5 | 1.542 | 648 | 1887 |
| 0.7 | 3.023 | 331 | 963 |
| 0.9 | 4.998 | 200 | 582 |
| 1.2 | 8.885 | 113 | 328 |
| 1.6 | 15.795 | 63 | 184 |
| 2 | 24.680 | 41 | 118 |
Worked example
For 2,000 m of 0.7 mm steel wire: 0.00617 × 0.7² × 2,000 = approximately 6.05 kg of bare metal.
Flat strip and twisted wire
Do not use the round-wire formula for flat strip, hollow sections or mesh. For a solid rectangular aluminium strip, theoretical grams per metre = thickness in mm × width in mm × 2.70. A 1 × 3 mm strip is approximately 8.1 g per metre before allowances for finishing or changes in length during twisting. A finished twisted profile needs its actual material cross-section and length basis checked.
Allow for the supplied product
Coatings add mass. Diameter tolerance matters because round-wire mass changes with diameter squared: 0.52 mm wire has about 8.2% more cross-sectional area than 0.50 mm wire. Net wire weight excludes the spool or packaging; gross weight includes it. Confirm which figure is quoted.
Reference
Royal Society of Chemistry: aluminium density. The steel density above is an explicit assumption; use the agreed grade density or measured mass for closer estimates.
