The radius of the wire in millimeters is 0.33 mm.
The length of the copper wire is l.
l = 40.93 cm
The mass of the copper wire is m.
m = 1.141 g
The density of the copper is p.
p = 8.933 g/cm³
The volume of the copper of the wire is,
[tex]Density = \frac{ Mass}{ Volume}[/tex]
[tex] Volume = \frac{Mass}{ Density}[/tex]
[tex]v = \frac{m}{p} [/tex]
[tex]v = \frac{1.141}{8.933}[/tex]
= 0.15 m³
The volume of the copper wire is 0.15 m³.
The radius of the copper wire is,
The volume of the wire = π × (radius)² × height
v = π × r² × l
[tex]r ^{2} = \frac{v}{\pi \times l} [/tex]
[tex] r ^{2} = \frac{7 \times 0.15}{22 \times 40.933} [/tex]
r = 0.033 cm
The radius of the copper wire is 0.033 cm.
The radius of the copper wire in millimeters is,
1 cm = 10 mm
0.033 cm = 0.33 mm
Therefore, the radius of the wire in millimeters is 0.33 mm.
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