10 turns of wire are closely wound around a pencil as shown in the figure. when measured using a scale as shown, the length of total turns is obtained 25mm. then a) What is the thickness of the wire? b) Express the thickness of the wire in centimetre.

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Answer:

1. 2.5 mm

2. 0.25 cm

Explanation:

Since the length of the 10 turns of the wire around the pencil is 25 mm, then;

1. the thickness of the wire = [tex]\frac{length of total turns}{number of turns}[/tex]

                                         = [tex]\frac{25}{10}[/tex]

                                        = 2.5 mm

The thickness of the wire is 2.5 mm.

2. Since 10 mm = 1 cm, then;

25 mm = 2.5 cm

So that,

the thickness of the wire in centimetre = [tex]\frac{length of total turns}{number of turns}[/tex]

                                         = [tex]\frac{2.5}{10}[/tex]

                                         = 0.25 cm

The thickness of the wire is 0.25 cm.