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How do you calculate the construction stretch of a 500 ft fiber core, 8 strand rope rated at 3/4% (.0075) of rope stretch per hundred foot?

  1. 2.5 ft

  2. 3.00 ft

  3. 3.75 ft

  4. 4.00 ft

The correct answer is: 3.75 ft

To determine the construction stretch of a 500 ft fiber core, 8 strand rope with a stretch rating of 3/4% (or 0.0075) per hundred feet, you first need to calculate the total stretch over the entire length of the rope. 1. **Identify the stretch per hundred feet**: The rope stretches 0.0075 ft for every 100 ft of length. 2. **Calculate the number of hundred-foot segments in 500 ft**: Since 500 ft divided by 100 ft equals 5, there are 5 segments in total. 3. **Multiply the stretch per hundred feet by the total number of segments**: - 0.0075 ft (stretch per 100 ft) multiplied by 5 segments results in a total stretch of 0.0375 ft. 4. **Convert this stretch into feet**: - 0.0375 ft per segment times 500 ft of rope gives you a total stretch of 3.75 ft. This calculation results in the rope stretching a total of 3.75 feet under the specified conditions, confirming the correctness of the answer choice provided.