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B Differentiating some simple harmonic equation

  1. Mar 30, 2016 #1
    So I was just trying to differentiate (for no good reason) the equation :
    x=x0sin(wt)
    (w= angular frequency, x0= maximum displacement, t=time)

    to obtain the expression :
    a= -w2x

    I differentiated twice with respect to time the initial expression for x and got:
    a= -w2x0sin(wt)

    I must have done something wrong while differentiating.... so help me out, folks.
     
  2. jcsd
  3. Mar 30, 2016 #2
    I'll write it in a more suggestive manner:
    $$a = -\omega^2 (x_0 \sin(\omega t))$$
    Notice anything?
     
  4. Mar 30, 2016 #3
    Oh crap!
    My sleep deprivation must be taking its toll dammit. Thanks a lot man!
    I make the dumbest mistakes.
     
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