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

`Length = 9558.7\ mils`

Step-by-step 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 = (22)/(7) * 82.2`

`C = (22* 82.2)/(7)`

`C = (1808.4)/(7)`

The length of the 37 strands is:

`Length = 37 * C`

`Length = 37 * (1808.4)/(7)`

`Length = (37 * 1808.4)/(7)`

`Length = (66910.8)/(7)`

`Length = 9558.68571429`

`Length = 9558.7\ mils` --- approximated