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Integrating Polar Coordinates

  1. Sep 5, 2011 #1
    Hi,

    Say I have an acceleration vector in polar coordinates: a = -30e_r where the unit vector e_r points in the same direction as the Cartesian unit vector j.

    How can I integrate that vector so that I have the velocity vector in polar coordinates?

    I know that if I have an acceleration vector in Cartesian coordinates: a = -30j, I can integrate it with respect to time to get v = (-30t+v_0y)j + (v_0x)i.

    I feel like integrating an acceleration vector in Cartesian coordinates is easier because i and j do not change as the tip of the vector moves around over time. However, with polar coordinates, e_r changes direction and yeah it gets messy.

    Thanks.
     
  2. jcsd
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