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About the shperical coordinate

  1. May 23, 2010 #1
    Here Im doing a spherical pendulum problem, and i was asked to represent the unit vectors of spherical coor in terms of Cartesian coor, which i have already solved:
    r=sinθcosφ i + sinθsinφ j + cosθ k
    θ=cosθcosφ i + cosθsinφ j - sinθ k
    φ= -sinφ i + cosφ j
    where φ is the angle on the X-Y plane, between x and the position, and θ is between position and z

    now i want to know how to process to the next step: derive the time derivative of each unit vector, in terms of spherical unit vectors.
  2. jcsd
  3. May 24, 2010 #2
    Just derive it
    I don't know what's the problem
  4. May 24, 2010 #3
    ok, Thanks, I already solved it. considering the θ and φ also as the function of t, but the unit vectors do not.
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