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Finding total energy of an oscillator

  1. Nov 23, 2011 #1
    1. The problem statement, all variables and given/known data

    Find the total energy of the following (mass m= 2 kg) oscillator.

    2. Relevant equations

    x=2cos(6∏t)


    3. The attempt at a solution

    Wouldn't I take my Amplitude of 2 and my period of 6 mulitply them together to get my max velocity of 12 then using KE = 1/2msquared I would take 1/2(2)(12)squared to get 144. But this is no where close to being right. My choice are:

    A) 1320
    B) 1420
    C) 1520
    D) 1620
    E) 1720
    F) 1820
     
  2. jcsd
  3. Nov 24, 2011 #2

    ehild

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    Homework Helper
    Gold Member

    The simple harmonic motion is described with a function x(t)=Acos(ωt), with ω the angular frequency. The maximum speed is v(max)=Aω. You need ω. What is it if x(t)=2cos(6π t)?

    ehild
     
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