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 one of these materials. In her design, at room temperature (23.0 °C), a aluminum 22.2 x 10-6 brass 18.7 x 10-6 5.26 cm long cylinder of the material will sit with one end against a wall and copper 16.6 x 10-6 the other just barely touching a button. Once the heat causes the cylinder to lengthen by 0.0233 cm, the button will be activated, turning on the alarm. steel 13.0 x 10-6 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 copper? temperature: °C At what temperature will the alarm be triggered if the cylinder is made out of glass?
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 one of these materials. In her design, at room temperature (23.0 °C), a aluminum 22.2 x 10-6 brass 18.7 x 10-6 5.26 cm long cylinder of the material will sit with one end against a wall and copper 16.6 x 10-6 the other just barely touching a button. Once the heat causes the cylinder to lengthen by 0.0233 cm, the button will be activated, turning on the alarm. steel 13.0 x 10-6 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 copper? temperature: °C At what temperature will the alarm be triggered if the cylinder is made out of glass?
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
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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![**Transcription for Educational Website:**
The coefficient of linear expansion \( \alpha \) for some common materials are listed in the table.
Suppose Mary would like to design an emergency overheating alarm using one of these materials. In her design, at room temperature (23.0°C), a 5.26 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 lengthen by 0.0233 cm, the button will be activated, turning on the alarm.
| Material | \( \alpha \) (1/°C) |
|---------------|-----------------------|
| polycarbonate | \( 70.2 \times 10^{-6} \) |
| aluminum | \( 22.2 \times 10^{-6} \) |
| brass | \( 18.7 \times 10^{-6} \) |
| copper | \( 16.6 \times 10^{-6} \) |
| steel | \( 13.0 \times 10^{-6} \) |
| cast iron | \( 10.4 \times 10^{-6} \) |
| titanium | \( 8.60 \times 10^{-6} \) |
| glass | \( 5.92 \times 10^{-6} \) |
**Question 1:**
At what temperature will the alarm be triggered if the cylinder is made out of copper?
*Temperature:* [Input Box] °C
**Question 2:**
At what temperature will the alarm be triggered if the cylinder is made out of glass?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F91f424ac-8f96-4172-b739-006cab2e5691%2F1930eb63-f54f-4787-81eb-7cec5cb7b887%2Fjeojq9ns_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Transcription for Educational Website:**
The coefficient of linear expansion \( \alpha \) for some common materials are listed in the table.
Suppose Mary would like to design an emergency overheating alarm using one of these materials. In her design, at room temperature (23.0°C), a 5.26 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 lengthen by 0.0233 cm, the button will be activated, turning on the alarm.
| Material | \( \alpha \) (1/°C) |
|---------------|-----------------------|
| polycarbonate | \( 70.2 \times 10^{-6} \) |
| aluminum | \( 22.2 \times 10^{-6} \) |
| brass | \( 18.7 \times 10^{-6} \) |
| copper | \( 16.6 \times 10^{-6} \) |
| steel | \( 13.0 \times 10^{-6} \) |
| cast iron | \( 10.4 \times 10^{-6} \) |
| titanium | \( 8.60 \times 10^{-6} \) |
| glass | \( 5.92 \times 10^{-6} \) |
**Question 1:**
At what temperature will the alarm be triggered if the cylinder is made out of copper?
*Temperature:* [Input Box] °C
**Question 2:**
At what temperature will the alarm be triggered if the cylinder is made out of glass?
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