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.

Correct result:

l =  5007 cm

Solution:

D=1 mm→ cm=1/10  cm=0.1 cm m=350 g  ρ=8.9 g/cm3  m=ρV V=m/ρ=350/8.9=350089≐39.3258 cm3  r=D/2=0.1/2=120=0.05 cm S=π⋅ r2=3.1416⋅ 0.052≐0.0079 cm2  V=Sl  l=V/S=39.3258/0.0079=5007 cm

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