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Significance of the angle theta at r=0 point

  1. Sep 19, 2015 #1

    I was working on a classical mechanics problem, and I suddenly came up with this question:

    Let's think about a point in a 2-D plane. This point is represented by (r, θ), where r is the distance between the origin and the point and θ is the angle measured from the x-axis.

    Now, what is the significance of the angle θ if r=0?

    Personally, I do not think θ has any significance because θ do not affect any property of the point since it is located exactly at the origin. To me, it makes no sense at all to specify a point at the origin with an angle.

    Is there any case where θ has any physical(or mathematical) significance although r=0?
  2. jcsd
  3. Sep 19, 2015 #2
    No. We usually define the origin as the point (0, 0) and leave the points (0, θ) where θ ≠ 0 undefined.
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