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demonslayer42
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Homework Statement
Find the change in diameter of the metal rod.
So I did a lab in class. We heated up a metal rod by putting it in a "jacket" and heating it with steam and it expanded. We were asked to calculate the liner coefficient. Well I did that just fine. I determine that the rod was copper. But how do I fined the change in diameter?
Length of Rod: 600mm
Temperature initial : 22.5 C
Temperature Final : 99.4 C
Change in Temperature :76.9 C
X initial: 5.849mm
X final 6.622mm
Change in length = .773mm
Change in Length = coefficient*length*change in Temperature
[tex]\Delta[/tex]L = [tex]\alpha[/tex] L [tex]\Delta[/tex]T
.773 = coefficient*600*76.9
So anyways my theoretical calculations coefficient = 16.75*10^-6 / C
Copper's coefficient is 17*10^-6/ C
I took the percent difference 1.47% off of actual. Great.
Homework Equations
The Attempt at a Solution
I have no idea how to figure this out without the radius, circumference, or volume. Is it even possible?
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