SOLUTION: The resistance, R, of a wire varies directly as its length and inversely as the square of its diameter. If the resistance of a wire 300 feet long with a diameterof 0.26 inches is

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Question 807711: The resistance, R, of a wire varies directly as its length and inversely as the square of its diameter. If the resistance of a wire 300 feet long with a diameterof 0.26 inches is 18386 ohms, what is the resistance of 3100 feet of the same type of wire with a diameter of 0.35 inches? (Leave k in fraction form or round to at least 3 decimal places. Round off your final answer to the nearest hundredth.)
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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The resistance, R, of a wire varies directly as its length and inversely as the square of its diameter.
If the resistance of a wire 300 feet long with a diameter of 0.26 inches is 18386 ohms, what is the resistance of 3100 feet of the same type of wire with a diameter of 0.35 inches?
(Leave k in fraction form or round to at least 3 decimal places.
Round off your final answer to the nearest hundredth.)
:
%28KL%29%2Fd%5E2 = R
Find k
%28300K%29%2F.26%5E2 = 18386
%28300K%29%2F.0676 = 18386
K = %28.0676%2A18386%29%2F300
K = 4.143
"what is the resistance of 3100 feet of the same type of wire with a diameter of 0.35 inches?"
R = %284.143%2A3100%29%2F.35%5E2
R = 10,482.73 ohms
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