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Homework Help: Mechanical Principles, question on linear expansion of aluminium.

  1. Jun 24, 2009 #1
    1. The problem statement, all variables and given/known data
    Question: If the linear expansivity of aluminium is 24 x 10-6 K-1, how much does the aluminium expand during the heating?

    2. Relevant equations
    As far as additional information on the question goes;
    An aluminium rod is heated from 15 degrees Celsius to 120 degrees Celsius. The dimensions of the aluminium rod are 12mm (diameter) x 1.2m long. The density of aluminium is 2700 kg per meters cubed.

    3. The attempt at a solution
    So far I'm completely stumped, we may have covered it but I literally cannot work it out.
  2. jcsd
  3. Jun 24, 2009 #2


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    Science Advisor
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    Gold Member

    Hi RingwoodPye, welcome to PF.

    The linear thermal expansion coefficient is the proportional increase in every (unconstrained) distance per degree temperature increase. That is, a value of 0 K-1 would mean no expansion, and a value of 1 K-1 would mean a 100% expansion per degree. Knowing this, can you calculate the new diameter and the new length?
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