Need some direction please. Thermodynamics.

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Homework Help Overview

The discussion revolves around a thermodynamics problem involving the linear expansion of aluminum. The original poster seeks to determine the temperature at which an aluminum wing, initially 30 meters long at 20°C, would be 0.05 meters shorter, using the coefficient of linear expansion for aluminum.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the relationship between initial length, final length, coefficient of linear expansion, and temperature difference. There are attempts to clarify the correct coefficient of linear expansion and its units. Some participants express uncertainty about the problem and share personal feelings regarding their understanding of physics.

Discussion Status

The discussion includes various attempts to formulate the problem and clarify the coefficient of linear expansion. Some participants have provided equations and calculations, while others have expressed doubts about their understanding. There is no explicit consensus, but there is engagement with the problem and attempts to guide the original poster.

Contextual Notes

Participants note confusion regarding the units of the coefficient of linear expansion and the original poster's background in physics, which may influence their approach to the problem.

travism123
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Homework Statement



Aluminum wing is 30m long at 20*c

At what temperature would the wing be .05m shorter?

The coefficient for linear expansion of aluminum is (16 x 10^-6/c)


I have no idea how to do this. I don't want an answer. Just an equation or a hint on what to do. Thank you very much.
 
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What is the relation between the initial length , final length , coefficient of linear expansion and temperature difference?
 
I have no idea.
 
Where did you get that coefficient? "16 x 10^-6/c" Are you sure of the "units"? What does "/c" mean? You might want to check that.
 
Sorry,
I messed up the coefficient. It's 25 x 10^-6/*C
 
I'm sorry if I sound stupid not being able to figure this question out. The truth is I probably have no business being in a physics class. I'm going to school to be a therapist and am taking this class to fill a science requirement. I'm sure there are easier classes I could've taken, but a few months before the semester started I saw that documentary The Elegant Universe and thought hmm... physics looks fun. That blasted Brian Greene and his easy to understand explanations!
 
Does this look right?

Aluminum wing is 30m at 20*C. At what temp would it be .05m shorter.
∆T = ∆l / α x l
∆T = -.05m/(25 x 10-6/*C) x 30m
∆T = -66.667
The wing would be at -46.667*C to be .05m shorter.
 
Yes.
 
Thank you very much.
 

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