Linear expansion of steel question

  • Thread starter ilyas415
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  • #1
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Homework Statement



The question i need help on is question 6 part (c). I think I need to use the equation:

2. Equations used:
[tex]\Delta[/tex]L = [tex]\alpha[/tex]L[tex]\Delta[/tex]T

Linear expansion of steel: 12x10 K^-1 ([tex]\alpha[/tex])
Density of steel: 7800

3. My attempted solution:
I tried substituting in the values into the equation but the question did not mention anything about the length of the steel so now i am stuck for a solution. I tried using proportionality with density=mass/volume so density is proportional to 1/L. However im not sure this if this is the correct way.

Thanks for your help in advance.
 

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Answers and Replies

  • #2
Mapes
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That equation doesn't make dimensional sense; it has meters on the left but is dimensionless on the right. After that issue's fixed, you could try assuming a side length of 1 m, or 2 m. Does it make a difference?
 
  • #3
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ah, ive got it, assume it is a cube with edge length 1m, then ive got to substitute 1m in to the eqation to find the new length, then i use density = mass/volume, then i get the change in density
 

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