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A uniform rectangular plate of length l and width w has coefficient of linear expansion
Chapter 13, Problem 18P(choose chapter or problem)
(II) A uniform rectangular plate of length l and width w has coefficient of linear expansion α. Show that, if we neglect very small quantities, the change in area of the plate due to a temperature change ΔT is ΔA = 2αlw ΔT. See Fig. 13–30.
Questions & Answers
QUESTION:
(II) A uniform rectangular plate of length l and width w has coefficient of linear expansion α. Show that, if we neglect very small quantities, the change in area of the plate due to a temperature change ΔT is ΔA = 2αlw ΔT. See Fig. 13–30.
ANSWER:
Solution 18P
Step 1 of 3
Here we have to prove that the change in area of the plate due to change in temperature will be
Where is coefficient of linear expansion, and are the length and width of the rectangular plate .