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Simple pendulum problem

  1. Jun 21, 2011 #1
    1. The problem statement, all variables and given/known data

    A simple pendulum whose string is made of some unknown material loses 5 seconds per day at 15 deg and gains 10 seconds at 30 deg. What is the alpha i.e. coefficient of linear expansion of this material?

    2. Relevant equations



    3. The attempt at a solution[/b

    I assumed the length where the pendulum has correct period to be L. Then,

    L15(Length at 15 deg)= L-(L*alpha*delta T) where delta T is the fall in temperature but since I do not know both L and delta T, I got stuck. Something similar happens for T =30 deg.

    Please guide me.
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Jun 21, 2011 #2

    ehild

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    Homework Helper
    Gold Member

    How is the time period related to the length of the pendulum?
    Calculate with the ratio of the time periods and that of the lengths.

    ehild
     
  4. Jun 22, 2011 #3
    Thanks. I got it.
     
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