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(Solved): The coefficient of linear expansion \( \alpha \) for some common materials are listed in the table. ...




The coefficient of linear expansion \( \alpha \) for some common materials are listed in the table.

Suppose Mary would like
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 \( \left(23.0^{\circ} \mathrm{C}\right) \), a \( 7.01 \mathrm{~cm} \) 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 \( 0.0238 \mathrm{~cm} \), the button will be activated, turning on the alarm. At what temperature will the alarm be triggered if the cylinder is made out of aluminum? temperatury At what temperature will the alarm be triggered if the cylinder is made out of titanium? temperature


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The change in length is, ?L=L??T The change in temperature is, ?T=?L
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