Calculating linear expansion of windshield 60cm*150cm

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SUMMARY

The discussion focuses on calculating the minimum tolerance required for an automobile windshield measuring 60 cm by 150 cm to prevent breakage due to a temperature change of 200°F. The linear expansion coefficient of glass is established as 9 x 10^-6 C^-1. The conversion of temperature change from Fahrenheit to Celsius is accurately calculated as 110.3°C. The linear expansion calculations yield a width expansion of 0.6 mm and a height expansion of 1.5 mm, confirming the need for a tolerance that accommodates these expansions.

PREREQUISITES
  • Understanding of linear expansion formulas, specifically deltaL = alpha * Li * deltaT
  • Knowledge of temperature conversion between Fahrenheit and Celsius
  • Familiarity with the properties of glass and its thermal expansion coefficient
  • Basic algebra skills for manipulating equations
NEXT STEPS
  • Research the impact of temperature changes on different materials, focusing on thermal expansion coefficients
  • Learn more about the practical applications of linear expansion in engineering and design
  • Explore methods for converting temperature changes between different scales efficiently
  • Investigate safety standards for automotive glass and tolerances in manufacturing
USEFUL FOR

Engineers, automotive designers, and students studying materials science or thermodynamics will benefit from this discussion, particularly those focused on the thermal properties of materials and their applications in vehicle safety.

**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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