kg/km\text{kg/km}

kilogram per kilometer

Linear mass densityexact by definition

The kilogram per kilometre is exactly 10⁻³ kg/m, or one gram per metre. Cable, conductor and rope weights are catalogued this way because a kilometre is the length a reel is actually sold in.

1 kg/km\text{kg/km} 0.001 kg/m\text{kg/m}

About the kilogram per kilometer

The kilogram per kilometre is the cable industry's unit because cable is made, priced and shipped by the kilometre. Conductor datasheets list mass in kg/km as a matter of course: a bare high-voltage ACSR conductor runs on the order of 1,000 to 2,000 kg/km, a residential mains cable a few hundred, and the glass in a standard 125 μm optical fibre only about 30 g/km, which is why the weight of a fibre cable is almost entirely jacket and strength member rather than fibre.

Reel logistics is the everyday use: kg/km times route length is the shipping weight, the drum size and the crane requirement. The structural use is sag. An overhead span hangs under its own weight per unit length, and the cable tension solvers on this site take weight per unit of span, so a kg/km figure enters them after a multiplication by g, and in a real line design it also picks up ice and wind loading on the way.

The unit has a secret identity. The tex of the textile trade is defined as a gram per kilometre, so one kg/km is exactly one kilotex, and the measure rating a transmission conductor and the family rating sewing thread are the same unit a thousandfold apart. Numerically it is also just grams per metre, which is how climbing rope and cordage makers print the identical quantity.

One kilogram per kilometer in every linear mass density unit

10,000decitex (dtex)
9,000denier (den)
1,000milligram per meter (mg/m)
1,000tex (tex)
1gram per meter (g/m)
1kilogram per kilometer (kg/km)this unit
0.01gram per centimeter (g/cm)
0.00201591pound per yard (lb/yd)
0.001kilogram per meter (kg/m)
0.000671969pound per foot (lb/ft)
0.0000559974pound per inch (lb/in)
0.0000208854slug per foot (slug/ft)