Question

Suppose that at room temperature, a certain aluminum bar is 1.0000 m long. The bar gets longer when its temperature is raised. The length l of the bar obeys the following relation: l=1.0000+2.4×10−5T, where T is the number of degrees Celsius above room temperature. What is the change of the bar's length if the temperature is raised to 13.6∘C above room temperature? The closest I got to an answer is 4.7*10^-5 but I don't think this is right.. Can someone please help?

Answer 1

first what is that number 1.0000 ???( 4 zeros!!)
Metals has low heat expansion, so it will give you a small number.

Answer 2

Change in the length of the bar l is 2.4×10−5 times change in temperature T
Since change in temperature T = 13.6 deg C
So change in length =2.4×10−5 * 13.6 = 3.264 X 10 ^-4 m

Answer 3

Thanks!

Answer 4

You are welcome :)