Question

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?

Answer 1

Answer:

$Length = 9558.7\ mils$

Explanation:

Given

$diameter = 82.2\ mils$

$Strands = 37$

Required

The length of the wire

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

$C = \pi d$

$C = \frac{22}{7} * 82.2$

$C = \frac{22* 82.2}{7}$

$C = \frac{1808.4}{7}$

The length of the 37 strands is:

$Length = 37 * C$

$Length = 37 * \frac{1808.4}{7}$

$Length = \frac{37 * 1808.4}{7}$

$Length = \frac{66910.8}{7}$

$Length = 9558.68571429$

$Length = 9558.7\ mils$ --- approximated