A copper wire, 3mm in diameter, is wound about a cylinder whose length is 12cm, and diameter is 10 cm, so as to cover the curved surface of the cylinder. Find the length of the mass of the wire, assuming the density of copper to be 8.88per cm cube
Answers
Answer:
A copper wire, 3mm in diameter, is wound about a cylinder whose length is 12cm, and diameter is 10 cm, so as to cover the curved surface of the cylinder. Find the length of the mass of the wire, assuming the density of copper to be 8.88per cm cube
Answer:
From the figure we can observed that 1 round of wire will cover 3 mm height of cylinder.
Number of rounds =
Diameter of wire
Height of cylinder
=
0.3
12
=40 rounds.
Length of wire required in 1 round = Circumference of base of cylinder
=2πr=2π5=10π
Length of wire in 40 rounds =40×10π
=
7
400×22
=
7
8800
=1257.14 cm
=12.57 m
Radius of wire =
2
0.3
=0.15 cm.
Volume of wire = Area of cross-section of wire x Length of wire
=π(0.15)
2
×1257.14
=88.898 cm
3
Mass = Volume x Density
=88.898×8.88
=789.41 gm
Step-by-step explanation:
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