Calculating linear expansion of windshield 60cm*150cm

AI Thread Summary
To calculate the minimum tolerance needed to prevent an automobile windshield from breaking due to a temperature change of 200°F, the change in temperature was converted to Celsius, resulting in a deltaT of 110.3°C. Using the linear expansion formula, the width expansion was calculated as 0.6 mm and the height expansion as 1.5 mm. The discussion highlights the importance of accurately converting temperature changes and applying the linear expansion formula for both dimensions. Additionally, it notes that most windshields are wider than they are high, which may influence tolerance considerations. Overall, the calculations appear correct, but attention to windshield proportions is advised.
**Mariam**
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Homework Statement


An automobile windshield has the dimensions 60cm by 150 cm. What minimum tolerance is needed in mm to prevent the windshield from breaking if the temperature changes by 200F (the linear expansion coefficient of glass is 9*10^-6 C-1)

Homework Equations


deltaL=alpha*Li*deltaT
T(F)=1.8*T(C)+32

The Attempt at a Solution


First I changes the change in temperature from F to C which resulted in deltaT=110.3C
(one of my questions is what is an easy and direct way to convert "CHANGE in temp" from F-C. Because the way I solved it was by assuming the Tinitial was 0F and Tfinal was 200F and I converted each of these to C and then subtracted.)
Second I used the formula once for height and once for width
deltaL(width)=60*9*10^-6*110.3=0.06cm=0.6mm
deltaL(height)=150*9*10^-6*110.3=0.15cm=1.5 mm

Is this correct
 
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**Mariam** said:

Homework Statement


An automobile windshield has the dimensions 60cm by 150 cm. What minimum tolerance is needed in mm to prevent the windshield from breaking if the temperature changes by 200F (the linear expansion coefficient of glass is 9*10^-6 C-1)

Homework Equations


deltaL=alpha*Li*deltaT
T(F)=1.8*T(C)+32

The Attempt at a Solution


First I changes the change in temperature from F to C which resulted in deltaT=110.3C
(one of my questions is what is an easy and direct way to convert "CHANGE in temp" from F-C. Because the way I solved it was by assuming the Tinitial was 0F and Tfinal was 200F and I converted each of these to C and then subtracted.)
Second I used the formula once for height and once for width
deltaL(width)=60*9*10^-6*110.3=0.06cm=0.6mm
deltaL(height)=150*9*10^-6*110.3=0.15cm=1.5 mm

Is this correct
Looks ok, but most windshields are wider than they are high.
 
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