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Homework Help: Amplitude & Time constant

  1. Feb 7, 2010 #1
    1. The problem statement, all variables and given/known data

    A gust of wind hits a flagpole and starts it oscillating. After 10 s, the amplitude of its motion has decreased to 25% of its initial value.

    What is the value of the time constant?

    2. Relevant equations

    xmax(t) = Ae[tex]-t/\tau[/tex]

    3. The attempt at a solution

    I know that the answer is 7.2s, but how do I find it?

    How do I manipulate the above equation?
  2. jcsd
  3. Feb 8, 2010 #2
    Use the equation you gave at with t=0 and also with t=10
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