# Copper Cu wire

Copper wire with a diameter of 1 mm and a weight of 350 g is wound on a spool. Calculate its length if the copper density is p = 8.9 g/cm cubic.

Result

l =  5007 m

#### Solution:

$D=1 \ mm \rightarrow cm=1 / 10 \ cm=0.1 \ cm \ \\ m=350 \ \text{g} \ \\ \ \\ ρ=8.9 \ \text{g/cm}^3 \ \\ \ \\ m=ρ V \ \\ V=m/ρ=350/8.9 \doteq \dfrac{ 3500 }{ 89 } \doteq 39.3258 \ \text{cm}^3 \ \\ \ \\ r=D/2=0.1/2=\dfrac{ 1 }{ 20 }=0.05 \ \text{cm} \ \\ S=\pi \cdot \ r^2=3.1416 \cdot \ 0.05^2 \doteq 0.0079 \ \text{cm}^2 \ \\ \ \\ V=Sl \ \\ \ \\ l=V/S=39.3258/0.0079 \doteq 5007.1218 \doteq 5007 \ \text{m}$

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