Technical Note TN-007 · Calculation

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.

Published
2026-11-06
Revision
B

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, mmSteel, kg per 1,000 mSteel, metres per kgAluminium, metres per kg
0.30.55518015241
0.40.98710132948
0.51.5426481887
0.73.023331963
0.94.998200582
1.28.885113328
1.615.79563184
224.68041118

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.