What is the constructional stretch of a 500 ft. fiber core, 8 strand rope rated at 3/4% (.0075) of rope stretch per 100 feet?

To determine the constructional stretch of a 500 ft fiber core, 8 strand rope rated at 3/4% (or 0.0075) of rope stretch per 100 feet, it is necessary to calculate the total stretch based on the given percentage.

The stretch is expressed per 100 feet, so first, we find the total stretch for the entire length of the rope:

1. Calculate the number of 100-foot segments in 500 feet:

[ 500 , \text{ft} \div 100 , \text{ft} = 5 ]

2. Since the rope stretches 0.0075 (or 3/4%) for each 100 feet, we multiply the number of segments by the stretch per segment:

[ 5 \times 0.0075 = 0.0375 ]

3. To convert this stretch into feet, we multiply by the total length of the rope:

[ 0.0375 \text{ (stretch factor in feet per foot)} \times 500 \text{ ft} = 18.75 \text{ ft} ]

However, we made a mistake by interpreting the percentage