1. An aluminum rod 15 cm long with a diameter of 1.0 cm is fixed between rigid supports with an Invar rod of the same dimensions such that there is no tension or compression of the rod at 20°C. The rods are attached to each other such that they can push or pull without separating. Invar has a negligibly small thermal expansion coefficient. You place this apparatus in an experiment where heat is added or removed and you measure that the Invar rod is a total of 0.25 mm longer than it was at 20°C. 2.7g/cm³, CAL = 0.90Jg-¹K-1, Data: aA = 23 x 10-6K-1, YAL YInvar = 140G Pa Aluminum 15cm Invar 15cm = 69GPa, PAL = a) Find the final temperature. b) If the particular Aluminum alloy used has a Yield strength of 200MPa, is the rod likely to be permanently deformed? c) Was heat added or removed from the Aluminum rod? How much? Clearly state all of the assumptions that you made while solving this problem.

1. An aluminum rod 15 cm long with a diameter of 1.0 cm is fixed between rigid supports with an Invar rod of the same dimensions such that there is no tension or compression of the rod at 20°C. The rods are attached to each other such that they can push or pull without separating. Invar has a negligibly small thermal expansion coefficient. You place this apparatus in an experiment where heat is added or removed and you measure that the Invar rod is a total of 0.25 mm longer than it was at 20°C. 2.7g/cm³, CAL = 0.90Jg-¹K-1, Data: aA = 23 x 10-6K-1, YAL YInvar = 140G Pa Aluminum 15cm Invar 15cm = 69GPa, PAL = a) Find the final temperature. b) If the particular Aluminum alloy used has a Yield strength of 200MPa, is the rod likely to be permanently deformed? c) Was heat added or removed from the Aluminum rod? How much? Clearly state all of the assumptions that you made while solving this problem.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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