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Question:

Help with figuring out what diameter wire must be used for the following!?

A certain laboratory experiment requires an aluminum wire of length of 24.0 m and a resistance of 4.70 Ω at 20.0°CWhat diameter wire must be used? (The resistivity of aluminum at 20.0°C is 2.82 10-8 Ω · m.)R 961;L/A4.70 [ (2.82 x 10^-8)(24) ]/[960;d^2/4]d^2 [4 x 2.82 x 10^-8 x 24]/[3.14 x 4.70]d^2 (0.000002707)/(14.758)d^2 (0.000002707)/(14.758)d^2 0.000000152d 0.000390434d 3.90 x 10^-4d 0.39 mmquot;INCORRECT: Your response is within 10% of the correct valueThis may be due to roundoff error, or you could have a mistake in your calculationCarry out all intermediate results to at least four-digit accuracy to minimize roundoff error.quot;

Answer:

you rounded off pi in the second step.rounding errors grow bigger the more operations you go after rounding.use the full number of pi until you get to the end, then round off you should get 4.28x10^-4 or 0.428mm
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