A copper wire 3mm in diameter is wound around a cylimder whose length is 1.2 m and diameter is 10cm, so as to cover the curved surface of cylinder.
Find the length and mass of copper wire assuming that the density of copper wire is 8.88g/cm^3.
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Step-by-step explanation:
It can be observed that 1 round of wire will cover 3 mm height of cylinder.
Length of wire required in 1 round = Circumference of base of cylinder
= 2πr = 2π × 5 = 10π
Length of wire in 40 rounds = 40 × 10π
= 1257.14 cm = 12.57 m
Radius of wire= .0.3/2 = 0.15
Volume of wire = Area of cross-section of wire × Length of wire
= π(0.15)2 × 1257.14
= 88.898 cm3
Mass = Volume × Density
= 88.898 × 8.88
= 789.41 gm
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