What is the diameter of each strand in a 500,000-circular mil cable composed of 37 strands?

What is the diameter of each strand in a 500,000-circular mil cable composed of 37 strands?

• A. .116 inches
• B. .095 inches
• C. .120 inches
• D. .100 inches

Answer: (A)

To determine the diameter of each strand in a 500,000-circular mil cable made up of 37 strands, the total circular mil area must be divided by the number of strands. The formula for calculating the diameter of a single strand from the circular mils is: 1. First, divide the total circular mils by the number of strands to get the area of each strand in circular mils: \( \text{Area of each strand} = \frac{500,000 \, \text{cir mil}}{37} \approx 13,514 \, \text{cir mil} \) 2. Next, to find the diameter from the area in circular mils, use the formula for the area of a circle, which is \( A = \frac{\pi}{4}D^2 \). Rearranging this to solve for diameter gives: \( D = \sqrt{\frac{4 \times A}{\pi}} \) Substituting the area of each strand into the formula: \( D \approx \sqrt{\frac{4 \times 13,514}{\pi}} \approx \sqrt{17,193.60} \approx 131.04

To determine the diameter of each strand in a 500,000-circular mil cable made up of 37 strands, the total circular mil area must be divided by the number of strands. The formula for calculating the diameter of a single strand from the circular mils is:

1. First, divide the total circular mils by the number of strands to get the area of each strand in circular mils:

( \text{Area of each strand} = \frac{500,000 , \text{cir mil}}{37} \approx 13,514 , \text{cir mil} )

2. Next, to find the diameter from the area in circular mils, use the formula for the area of a circle, which is ( A = \frac{\pi}{4}D^2 ). Rearranging this to solve for diameter gives:

( D = \sqrt{\frac{4 \times A}{\pi}} )

Substituting the area of each strand into the formula:

( D \approx \sqrt{\frac{4 \times 13,514}{\pi}} \approx \sqrt{17,193.60} \approx 131.04