A uniform rectangular plate of length l and width w has coefficient of linear expansion

Chapter 13, Problem 18P

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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.

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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 .

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