(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A brass plug is to be placed in a ring made of iron. At 20 C the diameter of the plug is 8.753 cm and that of the inside ring is 8.743 cm. They must both be brought to what common temperature in order to fit? What if the plug were iron and the ring brass?

2. Relevant equations

[tex]\Delta T[/tex] = [tex]\frac{\Delta L}{\alpha * L_o}[/tex]

[tex]\Delta L[/tex]= [tex]\alpha L_o * \Delta T[/tex]

3. The attempt at a solution

I've attempted for the solution by setting the second equation with all the information equal to each other and solving for [tex]\Delta T [/tex] but I got 162 C fr the first part. I checked the other threads for this problem but I still can;t get the right answer using this way: https://www.physicsforums.com/archive/index.php/t-72993.html . Is the algebra in the previous thread correct? This is the only problem I'm stuck on and the final is tomorrow. All help is greatly appreciated!!!

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# Thermal Expansion of a brass plug

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