The coefficient of linear expansion for some common materíals are lísted in the
ID: 1878950 • Letter: T
Question
The coefficient of linear expansion for some common materíals are lísted in the table Suppose Mary would like to design an emergency overheating alarm using one of these materíals. In her design, at room temperature (23.0 'C), a 8.51 cm long cylinder of the materíal 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 actívated, turning on the alarnm Material polycarbonate aluminum brass copper steel cast iron titanium glass 70.2 x 106 22.2 x 10-6 18.7 x 10-6 16.6 x 10 13.0x 10-6 10.4 × 10-6 8.60 x 106 5.92 x 10 At what temperature will the alarm be triggered if the cylinder is made out of polycarbonate'? temperature At what temperature will the alarm be triggered if the cylinder is made out of titanium? Scroll temperatureExplanation / Answer
A) Let it happens at temperature t for polycarbonate.
Formula for linear expansion deltaL=Li*alpha*deltaT
0.0233=8.51*70.2*10^-6*(T-23)
T-23=39
T=62 degree centigrade
B) similarly for titanium
0.0233=8.51*8.6*10^-6*(T-23)
T-23=318.37
T=341.37 degree centigrade