An aluminum wire with a diameter of 4 mm has a mass of 6.8 kg. Find the length of the wire (aluminum density 2.6 g / cm3).
| May 31, 2021 | education
The cross-section of the wire in cm2 is s = πd ^ 2/4 = π * (0.4) ^ 2/4 = 0.04π = 0.1257 cm2.
The weight of the wire in grams is equal to the product of the volume of the wire in cm3 by its density in g / cm3: m = V * ρ = l * s * ρ, where l is the length of the wire. From here we can find the length of the wire:
l = m / sρ = 6800 / (0.1257 * 2.6) = 20806.56 cm = 208.0656 m.
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