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Rotating coordinate system, velocity

  1. Mar 11, 2014 #1
    1. The problem statement, all variables and given/known data

    Two coordinate systems xyz (…fixed) and x0y0z0 (moving) coincide at time t = 0.
    The moving system is rotating about the …fixed z axis, which coincides with z0 axis. The angular velocity is given by ω = tk = tk0. The position vector as measured in the rotational frame is equal to
    r0 (t) = (t + 1) i0 + t^2 j0:
    1. Using the rotating frame …find v0.

    2. Relevant equations

    ω = tk = tk0
    r0 (t) = (t + 1) i0 + t^2 j0

    3. The attempt at a solution

    So i know to find v0, i cannot just differentiate r0. but i am stuck.
     
  2. jcsd
  3. Mar 11, 2014 #2

    Simon Bridge

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    Welcome to PF;
    v0 is the velocity in the rotating reference frame?
    r0 is the position in the rotating frame wrt time?

    You also need to differentiate the unit vectors.
    See: http://home.comcast.net/~szemengtan/ClassicalMechanics/SingleParticle.pdf [Broken]
    section 1.8 (p15)
     
    Last edited by a moderator: May 6, 2017
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