How Does Temperature Affect the Diameter of a Hole in an Aluminum Plate?

AI Thread Summary
The discussion focuses on calculating how temperature changes affect the diameter of a hole in an aluminum plate. For Part A, the diameter at 199 degrees Celsius was successfully determined using the linear expansion formula. In Part B, the user correctly manipulated the equation to find the final temperature when the diameter is 1.177 cm, using the initial diameter and temperature values. The method applied for Part B is confirmed to be correct. Understanding the relationship between temperature and material expansion is crucial for accurate calculations.
Brit412
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Homework Statement


A hole in an aluminum plate has a diameter of 1.179 cm at 22.00 degrees Celsius.
Part A asks for the diameter of the hole at 199 degrees Celsius.?
Part B asks for the temperature of the hole when its diameter is 1.177 cm?


Homework Equations



∆L = alpha L(0) ∆T

The Attempt at a Solution


I got the answer for Part A.

Here's what I did so far for Part B:
I manipulated the equation as follows:
∆L/alpha*L(0) + Temp (initial) = Temp (final)

And I used the difference between 1.177 and 1.179 cm for ∆L, used 1.179 for L(0) and the 22 degrees C for the initial temperature. Is this method correct?
 
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