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Sound radiation from a pulsating sphere

  1. May 11, 2012 #1
    1. The problem statement, all variables and given/known data

    Consider a pulsating sphere of radius 0.15m pulsating at a frequency of 2000Hz and surface velocity v[itex]_{}0[/itex]=0.07m/s. What is the distance r, where the measured acoustic pressure is 5x10[itex]^{}-2[/itex].
    speed of sound c=343m/s
    mass density of air ρ[itex]_{}0[/itex]=1.25kg/m3

    2. Relevant equations
    i know im supposed to use these equations:
    φ=(A/r)e^(ikr-iωt)
    p'=-ρ[itex]_{}0[/itex](dφ/dt)
    v=dφ/dr
    v=v[itex]_{}0[/itex]e^(-iωt)

    3. The attempt at a solution
    I have differantiated the velocity potential function (φ) and substituted in the formula for p'. i also substituted the value of p' which is 5x10^-2 but after that im stuck because im not sure how to work out t.

    Any help would be appreciated
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
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