Super fine 40-gauge copper wire has a diameter of only 0.080mm and weighs only 44.5/gkm. Suppose a spool of 40-gauge wire weighs 205. g less after some wire is pulled off to wind a magnet. How could you calculate how much wire was used? Set the math up. But don't do any of it. Just leave your answer as a math expression. Also, be sure your answer includes all the correct unit symbols.

Question

Mathematics

Alexus

28 April, 05:54

Super fine 40-gauge copper wire has a diameter of only 0.080mm and weighs only 44.5/gkm. Suppose a spool of 40-gauge wire weighs 205. g less after some wire is pulled off to wind a magnet. How could you calculate how much wire was used? Set the math up. But don't do any of it. Just leave your answer as a math expression. Also, be sure your answer includes all the correct unit symbols.

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Answers (1)

Know the Answer?

Gabriela Strickland · Answer 1

Math expression = L[m] = W[g] / R[g/m]

answer=4.606Km

Step-by-step explanation:

It is known that the cable weighs 44kg / km therefore if the weight is divided by this amount we can find how much cable length was spent

L=W/R

L = leght of wire used (m)

W=weight used (g) = 205g

R = relation between weight and leght (g/m) = 44.5g/km=0.0445g/m

L=205g/0.0445g/m = 4606.74m = 4.606Km