Question

Jade wants to measure the thickness of a copper wire. She wound the copper wire 30 times around a pencil and used a ruler to measure the length of the wound wire as shown in the figure.

Section of ruler is shown next to a pencil with a wire wound around it. The markings on the ruler are from zero to two centimeters. There are two small markings, one is between zero and one and the other is between one and two. The length of the entire wound wire starts at zero and goes to the small marking which is exactly between one and two.

Which of these is the most accurate thickness of the copper wire? (1 point)

0.001 cm

0.005 cm

0.01 cm

0.05 cm

Answer 1

Answer: 0.05

Explanation:Divide the length (1.5 cm) by the number of turns (30)

Answer 2

The direct proportion rule allows you to find that the correct answer for the result of the thickness of the copper wire is:

            0.05 cm

Copper is a strong material with which the cross section is constant, therefore the copper wire has a constant thickness, which is why when making a full turn it advances the same amount

When Jade wound thirty times (n = 30) it has the same diameter each time, therefore with a direct rule of proportions we can find the thickness of the wire.

If in 30 laps we have 1.5 cm, in one lap we have?

            $x= 1 turn ( \frac{1.5 cm}{30 turn} )$  

            x = 0.05 cm

In conclusion using a direct rule of proportions we can that the correct answer for the result of the thickness of the copper wire is:

             0.05 cm

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