# Copper wire

What is the weight of 1000 m copper wire with a diameter of 5 mm when rezistivity p = 8.8 g / cm3?

Result

m =  172.788 kg

#### Solution:

$l = 1000 \cdot \ 100 = 100000 \ \\ D = 5/10 = \dfrac{ 1 }{ 2 } = 0.5 \ \\ r = D/2 = 0.5/2 = \dfrac{ 1 }{ 4 } = 0.25 \ \\ p = 8.8 \ \\ V = \pi \cdot \ r^2 \cdot \ l = 3.1416 \cdot \ 0.25^2 \cdot \ 100000 \doteq 19634.9541 \ \\ m = p \cdot \ V/1000 = 8.8 \cdot \ 19634.9541/1000 \doteq 172.7876 = 172.788 \ \text{ kg }$

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