Question

A 1/4 mile long suspension bridge is being planned which will require 16 miles of 150 strand (150 wires twisted ) cable to be placed. What is the minimum (ignoring length for twisting) length in km of wire the cable manufacturer needs to have to produce the cable?

Answer 1

To produce a 150-strand cable that is 16 miles long, the manufacturer needs a minimum of 3862.416 kilometers of wire, ignoring any extra length from twisting.

Step-by-step explanation:

To calculate the minimum length of wire needed by the cable manufacturer to produce a 16-mile long cable made of 150 strands, we first convert the total cable length needed into the same units as the desired answer. Since 1 mile is equal to 1.60934 kilometers, 16 miles is equal to:

16 miles × 1.60934 km/mile = 25.74944 kilometers

Next, we calculate the total length of individual wires needed to create the 150-strand cable. Each strand contributes to the overall length, so:

25.74944 kilometers/strand × 150 strands = 3862.416 kilometers.

This is the total length of wire required, ignoring the extra length that may be added due to twisting.