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Homework Help: Work and energy in simple harmonic motion concept

  1. Oct 25, 2015 #1
    1. The problem statement, all variables and given/known data
    Is the statement cirrect: "the rate at which a wave transfers energy depends on the amplitude at which the particles of the medium are vibrating."

    And does the energy=A^2 ?
    2. Relevant equations
    E (proportional) A^2

    3. The attempt at a solution
    For the statement I am about confused, because I think that the rate mentioned refers to velocity of the wave and that's constant (in a given medium and temperature). I also believe that the higher the amplitude the more energy the wave will carry but how will that affect rate of energy transferred?

    For the second question, I think that the equation should be E=(1/2)k*A^2

    (Where A is max displacement or amplitude)

    Thanks :)
  2. jcsd
  3. Oct 25, 2015 #2


    User Avatar

    dA/dt = kA....right? this answers the first question. The second question is lots more ambiguous. When EVER you have an equation of the form A = bC, you can ALWAYS pick UNITS such that A' = C'. (These units are almost NEVER standard SI (or any other official) units). So, the second answer is "maybe" ...my answer would be "no, not unless you choose units in which k was 1 (unitless)"...but that's an advanced position for a beginning student to take.
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