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Question about Surface Expansion

Physics

Originais Teachy

Surface Expansion

Medium

(Originais Teachy 2023) - Question Medium of Physics

A company specialized in manufacturing metal plates plans to cut a hole in a steel sheet that has an initial temperature of 20°C. The sheet has a linear expansion coefficient α = 11 x 10^-6 °C^-1. By raising the temperature of the sheet to 220°C, the radius of the hole should increase by 0.5 mm. Considering that the superficial expansion coefficient is expressed by β = 2α, what is the initial radius of the hole before being subjected to the temperature increase?
a.
4.5 mm
b.
5.5 mm
c.
6.5 mm
d.
2.5 mm
e.
3.5 mm

Answer sheet:

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