1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Del Operator for Cylindrical Coordinate

  1. Jun 3, 2009 #1
    http://img208.imageshack.us/img208/5153/12802868.png [Broken]

    Why is the del operator for cylindrical coordinate the upper one and not the lower one? How does the 1/r term arises?
     
    Last edited by a moderator: May 4, 2017
  2. jcsd
  3. Jun 3, 2009 #2
    You could read about general curvilinear coordinates and that should answer your question (plus it will also explain the factors in other expressions from different coordinate systems like e.g. spherical polar coordinates). Basically the unit vectors change with position in cylindrical coordinates and that is why the factor appears.

    ---
     
    Last edited by a moderator: Aug 6, 2009
  4. Jun 3, 2009 #3

    tiny-tim

    User Avatar
    Science Advisor
    Homework Helper

    Hi Harmony! :smile:

    (have a del: ∇ and a theta: θ and a curly d: ∂ :wink:)
    ().eθ has to be the rate of increase per distance in the eθ direction …

    but ∂/∂θ is the rate of increase per angle

    and distance (in the eθ direction) is r times angle. :wink:
     
  5. Jan 22, 2011 #4
  6. Jan 23, 2011 #5
    Also, in case the link I provided in my previous post becomes unavailable, PF members arildno and HallsOfIvy walk through the same derivation in another thread here on Physics Forum.

    Check it out under Physics Forums>Mathematics>General Math -> Thread = "Del operator with coordinate transformations"
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Del Operator for Cylindrical Coordinate
  1. Cylindrical coordinates (Replies: 25)

  2. Del operator (Replies: 7)

Loading...