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9 . The coefficient of linear expansion of aluminum is 23 10 - 6 /C°. A circular

ID: 1408754 • Letter: 9

Question

9.The coefficient of linear expansion of aluminum is 23 10-6/C°. A circular hole in an aluminum plate is 2.725 cm in diameter at 0 °C. What is the diameter of the hole if the temperature of the plate is raised to 100 °C? 9.The coefficient of linear expansion of aluminum is 23 10-6/C°. A circular hole in an aluminum plate is 2.725 cm in diameter at 0 °C. What is the diameter of the hole if the temperature of the plate is raised to 100 °C? 9.The coefficient of linear expansion of aluminum is 23 10-6/C°. A circular hole in an aluminum plate is 2.725 cm in diameter at 0 °C. What is the diameter of the hole if the temperature of the plate is raised to 100 °C?

Explanation / Answer

L = L0 (1 + alpha*deltaT)

for aluminium.

alpha = 23 x 10^-6 per deg C

L0 = 2.725 cm

deltaT = 100 - 0 = 100 deg C


L =2.725 (1 + (100 x 23 x 10^-6) )

L = 2.731 cm

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