Linear expansion of steel question

AI Thread Summary
The discussion revolves around a homework question regarding the linear expansion of steel, specifically focusing on the equation ΔL = αLΔT. The user is confused about how to proceed due to the lack of information on the initial length of the steel. Suggestions include assuming a length, such as 1 meter, to facilitate calculations. The conversation highlights the need to ensure dimensional consistency in the equation used. Ultimately, using a cubic model with a defined edge length allows for the calculation of both the new length and the change in density.
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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:
\DeltaL = \alphaL\DeltaT

Linear expansion of steel: 12x10 K^-1 (\alpha)
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 I am not sure this if this is the correct way.

Thanks for your help in advance.
 

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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?
 
ah, I've got it, assume it is a cube with edge length 1m, then I've got to substitute 1m into the equation to find the new length, then i use density = mass/volume, then i get the change in density
 
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