Aluminum wire

Aluminum wire of 3 mm diameter has a total weight of 1909 kg and a density of 2700 kg/m3. How long is the wire bundle?

Correct result:

x =  100 km

Solution:

D=3 mm m=1909 kg ρ=2700 kg/m3  r=D/2=3/2=32=1.5 mm r2=r m=r/1000  m=1.5/1000  m=0.0015 m m S=π r22=3.1416 0.001527.0686106 m2  m=ρV m=ρSl  l=mρ S l=mρ π r22=19092700 3.1416 0.00152100025.2795 m  x=l km=l/1000  km=100025.2795/1000  km=100 km



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