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 3100 ft long with a diameter of 0.07 inches is

Algebra ->  Real-numbers -> 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 3100 ft long with a diameter of 0.07 inches is       Log On


   

Question 1050634: 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 3100 ft long with a diameter of 0.07 inches is 16262 ohms, what is the resistance of 900 ft of the same type of wire with a diameter of 0.05 inches?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
R=%28kL%29%2FD%5E2
k=%28RD%5E2%29%2FL
So then,
%2816262%280.07%29%5E2%29%2F3100=%28R%280.05%29%5E2%29%2F900
R=16262%28%280.07%29%5E2%2F%280.05%29%5E2%29%28900%2F3100%29
R=9254%29
9254 ohms