A coil of copper wire with a cross section of 2mm2 has a mass of 20 kg. How to determine the length

A coil of copper wire with a cross section of 2mm2 has a mass of 20 kg. How to determine the length of the wire without unwinding the coil? what is it equal to?

These tasks: S (cross-sectional area of the wire) = 2 mm2 (in the SI system S = 2 * 10-6 m3); m (coil weight) = 20 kg.

Reference values: ρm (copper density) = 8900 kg / m3.

To determine the length of the copper wire in the taken coil, we use the equality: V = S * l = m / ρm, whence l = m / (ρm * S).

Let’s calculate: l = 20 / (8900 * 2 * 10-6) = 1124 m.

Answer: Copper wire in a coil is 1124 m long.