SOLUTION: The lifting capacity of a cable is proportional to the areas of its cross section. If a cable is 1.5 inches in diameter will lift 10,000 pounds. What will a cable 0.625 inches in d

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Question 1111365: The lifting capacity of a cable is proportional to the areas of its cross section. If a cable is 1.5 inches in diameter will lift 10,000 pounds. What will a cable 0.625 inches in diameter lift?
Answer by Alan3354(69443) About Me  (Show Source):
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The lifting capacity of a cable is proportional to the areas of its cross section. If a cable is 1.5 inches in diameter will lift 10,000 pounds. What will a cable 0.625 inches in diameter lift?
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Area is a function of the square of the radius.
The ratio is (0.625/1.5)^2 = (5/12)^2
Lifting capacity = 10000*(5/12)^2 = 1736 pounds