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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What's the answer to c
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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?)
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-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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F755eaf05-57e8-4c81-860f-3d79e22313c4%2F31298f58-9cdd-4a49-9248-c97804ab38eb%2F6lrzk5o_processed.jpeg&w=3840&q=75)
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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