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I Clarification about Integration

  1. Feb 15, 2017 #1
    I am new to the forum and need some help understanding how to evaluate this integral symbolically.

    ∫∫ r dA

    The differential element lies within a circle that is offset from the y-axis by some value R2, and the radius of the circle is R1. Again, the circle center location is (0,R2).

    Any help would be greatly appreciated.
  2. jcsd
  3. Feb 15, 2017 #2


    User Avatar

    Staff: Mentor

    Welcome to the PF, Mark.

    Can you please explain this question a bit better and Upload a diagram of the geometry? Also, is this a question for your schoolwork? If so, I can move it to the Homework Help forums as long as you show your initial work toward the solution. :smile:
  4. Feb 15, 2017 #3

    This is not a homework problem, this is for research.

    I want to calculate the angular momentum induced by introducing flow into a cylinder by an offset, inclined tube. I have referenced a journal paper regarding this method, but I'm not clear on how they are integrating this area. Please see the diagram below.

    For simplicity reasons, the S1 area is shown as a circle, while it would actually be an ellipse.[PLAIN]https://www.physicsforums.com/attachments/da-png.113264/[PLAIN]https://www.physicsforums.com/attachments/inflow-angular-momentum-png.113265/ [Broken]
    Last edited by a moderator: May 8, 2017
  5. Feb 15, 2017 #4
    Last edited by a moderator: May 8, 2017
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