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Weird looking version of angular velocity

  1. Oct 17, 2007 #1
    Hi there,

    It is common that
    angular velocity = radius * rate of change of degree over time,

    But I read this somewhere,

    it reads

    angular vel = normal vector * rate of change of normal vector over time,

    Can anyone please explain the correlation?

    Thank you.
  2. jcsd
  3. Oct 17, 2007 #2

    Shooting Star

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    Homework Helper

    Very uncommon.

    angular velocity = rate of change of angle over time
    Linear speed=r*(dtheta/dt) on a circular path.
  4. Oct 17, 2007 #3
    Sorry. Yes, I meant angular velocity = rate of change of angle over time
    but my concern is
    angular vel = normal vector curl rate of change of normal vector over time,
  5. Oct 17, 2007 #4


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    Gold Member

    No the second description isn't that uncommon. If you imagine measuring angular velocity in terms of the rate of change of the tangential velocity vector to the curve, and how the normal of this tangential vector curls in time when compared to the normal of this original vector for a given time interval [tex]\Delta t[/tex]

    [Will add a diagram in a few mins]
    Hopefully that will clarify

    Edit- Having serious trouble uploading diagram, (it's a bmp paint file but it exceeds the limit! :(
    Last edited: Oct 17, 2007
  6. Oct 17, 2007 #5
    thankkssss..~ hmm, do you mind dropping me an email (the bmp) at wincluster@gmail.com

    thank you.
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