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Assume a metal rod with an initial length L, is heated through a temperature increase of AT to a length L, and then cooled to its initial temperature-that is, through a temperature decrease of -AT (same AT increase and decrease). Call the final length of the rod L₂ after this thermal cycle. (a) Show that Eq. 3 implies that L₂ = L.[1- (aAT)], that is, L₂ Lo-

Assume a metal rod with an initial length L, is heated through a temperature increase of AT to a length L, and then cooled to its initial temperature-that is, through a temperature decrease of -AT (same AT increase and decrease). Call the final length of the rod L₂ after this thermal cycle. (a) Show that Eq. 3 implies that L₂ = L.[1- (aAT)], that is, L₂ Lo-

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Sos ATT 0000000 1000 Lab 17: The Thermal Coefficient of Linear Expansion The Thermal Coefficient of Linear Expansion (c) Obviously, something is wrong. Can you explain what it is? (Hint: Think of basis, or reference. For example, if you had an investment that appreciated 100% in value one day, and you lost 100% of your investment the next, would you still have any money left?) serta oft stoneb
Transcribed Image Text:Sos ATT 0000000 1000 Lab 17: The Thermal Coefficient of Linear Expansion The Thermal Coefficient of Linear Expansion (c) Obviously, something is wrong. Can you explain what it is? (Hint: Think of basis, or reference. For example, if you had an investment that appreciated 100% in value one day, and you lost 100% of your investment the next, would you still have any money left?) serta oft stoneb
ision -property. Ccurs. 1. Assume a metal rod with an initial length L, is heated through a temperature increase of AT to a length L₁ and then cooled to its initial temperature that is, through a temperature decrease of -AT (same AT increase and decrease). Call the final length of the rod L₂ after this thermal cycle. (a) Show that Eq. 3 implies that L₂ = Lo[1 - (aAT)2], that is, L₂ Lo. son for thermal expansion
Transcribed Image Text:ision -property. Ccurs. 1. Assume a metal rod with an initial length L, is heated through a temperature increase of AT to a length L₁ and then cooled to its initial temperature that is, through a temperature decrease of -AT (same AT increase and decrease). Call the final length of the rod L₂ after this thermal cycle. (a) Show that Eq. 3 implies that L₂ = Lo[1 - (aAT)2], that is, L₂ Lo. son for thermal expansion
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