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Linear Thermal expanion what is the formula we use?

  1. Dec 13, 2009 #1
    Linear Thermal expanion!! what is the formula we use???

    1. The problem statement, all variables and given/known data
    I have been given a linear coefficient which 1.2*10^-5 of something
    i have been given the initial temperature of 30 degrees and final temperature of 55 degrees
    I have been given that initial lenght is 3.0 m

    I am trying to find the unknown final lenght ?????



    2. Relevant equations
    please whats the relevant equation i need to use


    3. The attempt at a solution
     
  2. jcsd
  3. Dec 13, 2009 #2

    rock.freak667

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    Re: Linear Thermal expanion!! what is the formula we use???

    try [itex]extension=L\alpha T[/itex]
     
  4. Dec 13, 2009 #3
    Re: Linear Thermal expanion!! what is the formula we use???

    im sorry which one is extension

    i used one forumula and i got 50

    it was Final lenght= a Lenghts (final temp -initial temp) + initial lenght
    thus final lenght = 2.0 m (initial lenght) *( 45 deg-20 deg) + 2.0 m
    = 50 meters

    is this right approach ????
     
  5. Dec 13, 2009 #4

    rl.bhat

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    Re: Linear Thermal expanion!! what is the formula we use???

    In then problem the initial length is 3 m.
    The relevant equation is
    Lf = Li( 1 + alpha*change in temperature) where alpha is the coefficient of linear expansion.
     
  6. Dec 13, 2009 #5
    Re: Linear Thermal expanion!! what is the formula we use???

    thank you for that
     
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