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 600. g less after some wire is pulled off to wind a magnet. How could you calculate how much wire was used?

Diameter of the wire = 0.080 mm

Weight of wire per km = 44.5g

Weight of wire used to wind a magnet = 600 g

Therefore, length of the wire used:

600 g x 1 km / 44.5g = 13.48 km

The length of the wire used was 13.48 km.

Given:

Diameter of copper wire in the spool = 0.080 mm

Weight of the copper spool = 44.5 g/km

Weight lost as a result of using some wire of unknown length = 600 g

To determine:

the length of the wire used

Calculation:

1 km of the spool weighs 44.5 g

Therefore, 600 g of spool would correspond to a length

= 600 g * 1 km/44.5 g = 13.5 km

Since 1000 m = 1km

This would correspond to a length of 13500 m

Ans: Around 13500 m or 13.5 km of wire was used.