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Expressing Spherical coordinates in terms of cylindrical

  1. Sep 2, 2012 #1
    1. The problem statement, all variables and given/known data
    I'm trying to express spherical coordinates in terms of cylindrical and vice versa. I would appreciate it if someone could give me some feedback on my attempt at a solution. Thanks for the help!



    3. The attempt at a solution

    Spherical(cylindrical)

    r=(ρ^2+z^2)^(1/2)
    θ=arcsin(ρ/(ρ^2+z^2)^(1/2))
    ψ=ψ

    Cylindrical(Spherical)

    ρ=rsinθ
    z=rcosθ
    ψ=ψ
     
  2. jcsd
  3. Sep 3, 2012 #2
    What you've done is already correct. What more are you asking? Incidentally, you might want to use θ=arctan(ρ/z) instead of θ=arcsin(ρ/(ρ^2+z^2)^(1/2)), but that is a matter of taste.
     
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