Question

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 570.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.

Answer 1

`Amount\ of\ wire\ used=(M)/(44.5\ g/km)`

mount of wire used=12.808989 Km

Amount of wire used=12808.989 m

Step-by-step explanation:

Given Data:

Diameter of wire=d=0.080 mm=0.00008 m

Weight of wire per unit length=44.5 g/km

Spool weighs=M=570 g

Required:

Amount of wire used=L=?

Solution:

Formula is:

`Amount\ of\ wire\ used=(Spool\ weighs)/(Weight\ per\ unit\ length)`

`Amount\ of\ wire\ used=(M)/(44.5\ g/km)`

The above expression is mathematical model of finding how much wire is used. just put the Value of M we will get the answer.

`Amount\ of\ wire\ used=(570\ g)/(44.5\ g/km)`

Amount of wire used=12.808989 Km

Amount of wire used=12808.989 m