A copper wire 3 mm in diameter is worng about a cylinder whose length is 12 cm and diameter 10 cm so as to cover the surface of the cylinder. find the length an mam of the wire . assuming the dencity of copper to be 8.88 g per cm3
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Answer:
We have
diameter of copper wire d=3mm=10^3 cm
Height (length) of the cylinder =1.2m=120cm
Number of rounds taken by the wire to cover the curved surface of the cylinder = d
h =3/10
120 =400
Length of wire used in taking one round =2πr=(2×3.14×5)cm=31.4cm
Total length of wire used in converting the curved surface of the cylinder
=(3.14×400)cm=12560cm=125.6m
Mass of the wire = Length × density =12560×8.88gram=111532.8gm=111.533kg
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