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Oscillator max speed

  1. Nov 25, 2008 #1
    1. The problem statement, all variables and given/known data

    A 284 g oscillator has a speed of 94.86 cm/s when its displacement is 2.98 cm and 74.06 cm/s when its displacement is 5.92 cm. What is the oscillator's maximum speed?

    2. Relevant equations

    3. The attempt at a solution
    confused as to wat the AMP would be
  2. jcsd
  3. Nov 25, 2008 #2
    If you let x = A*sin(w*t) then v = A*w*cos(w*t).

    Then you can see that (v/w)^2 + x^2 = A^2.

    Thats enough information to solve for w because you have 2 points given:

    (v1/w)^2 + x1^2 = (v2/w)^2 + x2^2.

    In turn you can solve for A and finally vmax.

    I don't see any use for the mass unless there is another part to the problem to find the spring constant or something like that.
  4. Nov 25, 2008 #3
    When you wrote w, did you mean omega or weight?
  5. Nov 25, 2008 #4
    ok i solved for w
    and i was going to put it into the other equation u gave me for A but i dont kno which V or X to put in for it
  6. Nov 26, 2008 #5
    v1, x1 : a speed of 94.86 cm/s when its displacement is 2.98 cm
    v2, x2 : 74.06 cm/s when its displacement is 5.92 cm
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