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Calculating amplitude after 50 oscillations

  1. Nov 19, 2009 #1
    1. The problem statement, all variables and given/known data

    An oscillator with a mass of 600 g and a period of 1.20 s has an amplitude that decreases by 2.50% during each complete oscillation. If the initial amplitude is 6.40 cm, what will be the amplitude after 50.0 oscillations?


    2. Relevant equations

    How do I approach this problem. I am so confused

    Ive been using xmax=Ae(-t/2x)

    with no luck. any help would be great



    3. The attempt at a solution

    m=600g
    T=1.2s
    amplitude decreases by 2.5%
    I think my problem is I dont understand were xmax is coming from or even how to find it. A hint is great!

    Thanks.
     
  2. jcsd
  3. Nov 20, 2009 #2

    ideasrule

    User Avatar
    Homework Helper

    Re: oscillations

    After one oscillation, what percentage of the initial amplitude will the actual amplitude be? Call this percentage k. After one oscillation, A=kAi. After two, A=k*k*Ai. After 5, A=k*k*k*k*k*Ai. What's the general formula for A in terms of Ai?
     
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