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9 March, 05:50

If the copper is drawn into wire whose diameter is 6.50 mm, how many feet of copper can be obtained from the ingot? the density of copper is 8.94 g/cm3

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  1. 9 March, 06:06
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    Assume that an ingot of copper has a mass of 9.1 kg or 9100 g.

    The cross-sectional area of the copper wire with diameter of 6.5 mm (or 0.65 cm) is

    A = (π/4) * (0.65 cm) ² = 0.3318 cm²

    The density of copper is given as 8.94 g/cm³.

    If the length of copper wire is L cm, then

    (0.3318 cm²) * (L cm) * (8.94 g/cm³) = 9100 g

    L = 9100 / (0.3318*8.94) = 3.0678 x 10³ cm

    Note that

    1 cm = 1/2.54 in = 1/2.54 in = 0.3937 in

    = 0.3937/12 = 0.03281 ft

    Therefore

    L = (3.0678 x 10³ cm) * (0.03281 ft/cm) = 100.65 ft

    Answer: 100.65 ft
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