The coefficient of linear expansion a for some common materials are listed Material a(1/ *C) n the table. polycarbonate 70.2 x 106 Suppose Mary would like to design an emergency overheating alarm using ne of these materials. In her design, at room temperature (23.0 °C), a 3.01 cm long cylinder of the material will sit with one end against a wall and he other just barely touching a button. Once the heat causes the cylinder to engthen by 0.0238 cm, the button will be activated, turning on the alarm. aluminum 22.2 x 106 brass 18.7 x 10-6 соррer 16.6 x 106 steel 13.0 x 106 cast iron 10.4 x 106 titanium 8.60 x 106 glass 5.92 x 10-6 At what temperature will the alarm be triggered if the cylinder is made out of brass? emperature: °C At what temperature will the alarm be triggered if the cylinder is made out of titanium? temperature: "C

College Physics
11th Edition
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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The coefficient of linear expansion a for some common materials are listed
Material
a(1/ °C)
in the table.
polycarbonate
70.2 x 10-6
Suppose Mary would like to design an emergency overheating alarm using
aluminum
22.2 x 10-6
one of these materials. In her design, at room temperature (23.0 °C), a
brass
18.7 x 10-6
8.01 cm long cylinder of the material will sit with one end against a wall and
the other just barely touching a button. Once the heat causes the cylinder to
соpper
16.6 x 10-6
steel
13.0 x 10-6
lengthen by 0.0238 cm, the button will be activated, turning on the alarm.
cast iron
10.4 x 10-6
titanium
8.60 x 10-6
glass
5.92 x 10-6
At what temperature will the alarm be triggered if the cylinder is made out of brass?
temperature:
°C
At what temperature will the alarm be triggered if the cylinder is made out of titanium?
temperature:
°C
Transcribed Image Text:The coefficient of linear expansion a for some common materials are listed Material a(1/ °C) in the table. polycarbonate 70.2 x 10-6 Suppose Mary would like to design an emergency overheating alarm using aluminum 22.2 x 10-6 one of these materials. In her design, at room temperature (23.0 °C), a brass 18.7 x 10-6 8.01 cm long cylinder of the material will sit with one end against a wall and the other just barely touching a button. Once the heat causes the cylinder to соpper 16.6 x 10-6 steel 13.0 x 10-6 lengthen by 0.0238 cm, the button will be activated, turning on the alarm. cast iron 10.4 x 10-6 titanium 8.60 x 10-6 glass 5.92 x 10-6 At what temperature will the alarm be triggered if the cylinder is made out of brass? temperature: °C At what temperature will the alarm be triggered if the cylinder is made out of titanium? temperature: °C
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