A cable is checked for power installation and is found to be too small. The cable has 37 strands of copper wire each having a diameter of 82.2 mils. Find the size of the cable in circular mils. Carry the answer to two decimal places?

Answers

Answer 1

Answer:

[tex]Length = 9558.7\ mils[/tex]

Explanation:

Given

[tex]diameter = 82.2\ mils[/tex]

[tex]Strands = 37[/tex]

Required

The length of the wire

First, we calculate the circumference (C) of 1 strand of the wire

[tex]C = \pi d[/tex]

[tex]C = \frac{22}{7} * 82.2[/tex]

[tex]C = \frac{22* 82.2}{7}[/tex]

[tex]C = \frac{1808.4}{7}[/tex]

The length of the 37 strands is:

[tex]Length = 37 * C[/tex]

[tex]Length = 37 * \frac{1808.4}{7}[/tex]

[tex]Length = \frac{37 * 1808.4}{7}[/tex]

[tex]Length = \frac{66910.8}{7}[/tex]

[tex]Length = 9558.68571429[/tex]

[tex]Length = 9558.7\ mils[/tex] --- approximated


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