What is the approximate gauge of a wire that has a...

Question

What is the approximate gauge of a wire that has a diameter of about 100 mils?

Patrick Ford · Accepted Answer

In this problem, we are required to convert between units. We'll use the relationship between the American Wire Gauge (AWG) and diameter.[readmore]We'll need the following conversion factors.Mills to inches:1mil=10-3inAWG and inches:din=0.005in×92(36-n)/39 where n is the gauge.We'll need the logarithmic relation:xy=y·logxd = 100mils(10-3in/1mil) = 100 × 10-3 inNext, we'll solve for n:(din/0.005in) = 92(36-n)/39 log(din/0.005in) = ((36 - n)/39)log92log(din/0.005in)/log92 = (36 - n)/3939(log(din/0.005in)/log92) = 36 - nn = 36 - 39(log(din/0.005in)/log92) = 36 - 39(log(100 × 10-3 in/0.005in)/log92) = 10.16Gauges are whole numbers such as 0000,000,00,0,1,2,3,4...Thus, n = 10The approximate gauge of a wire that has a diameter of about 100 mils is 10.

Problem: What is the approximate gauge of a wire that has a diameter of about 100 mils?

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Problem Details

Problem: What is the approximate gauge of a wire that has a diameter of about 100 mils?

FREE Expert Solution

Problem Details

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