How Much Tolerance is Needed for a Windshield to Withstand a 200°F Temperature Change?

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SUMMARY

The discussion focuses on calculating the minimum tolerance required for an automobile windshield to withstand a temperature change of 200°F, given its dimensions of 60 cm by 150 cm and the linear expansion coefficient of glass at 9×10-6 (°C)-1. The area expansion formula A = 2a(Tf - Ti) is utilized to determine the necessary tolerance in millimeters. Participants clarify the application of the formula and emphasize the importance of understanding the temperature conversion from Fahrenheit to Celsius for accurate calculations.

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  • Understanding of linear expansion coefficients
  • Familiarity with temperature conversion between Fahrenheit and Celsius
  • Knowledge of the area expansion formula
  • Basic geometry of rectangular dimensions
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An automobile windshield has dimensions of 60 cm by 150 cm. What minimum tolerance in mm is needed to prevent the windshield from breaking if the temperature changes by 200°F? (The linear expansion coefficient of glass is 9×10-6 (oC)-1.)

I'm thinking of using the area expansion formula but I don't understand the part where it says minumum tolerance in mm...

A = 2a(Tf-Ti)

a = alpha = 9x10^-6
 
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