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To find the length of the wire wrapped around the pipe, we first calculate the vertical rise per turn of the wire. The total height of the pipe is 60 inches, and there are 8 turns, so the vertical rise per turn is 60 inches / 8 turns = 7.5 inches. Each turn of wire wraps around the pipe once, covering a circumference of 4 inches. Thus, the length of wire for one turn is the hypotenuse of a right triangle with a vertical rise of 7.5 inches and a horizontal distance of 4 inches, calculated using the Pythagorean theorem:

Length of one turn = √(7.5² + 4²) = √(56.25 + 16) = √72.25 ≈ 8.5 inches.

Therefore, the total length of the wire is approximately 8.5 inches/turn × 8 turns = 68 inches.

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4mo ago

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