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Finding the position vector of uniform circular motion

  1. Feb 16, 2012 #1
    1. The problem statement, all variables and given/known data

    Write an equation for one component of the position vector as a function of the radius of the circle and the angle the vector makes with one axis of your coordinate system. Calculate how that angle depends on time and the constant angular speed of the object moving in a circle.


    2. Relevant equations

    a = v2 / r
    D = 2∏r
    v = D / t

    3. The attempt at a solution

    I really don't know where to begin. The lab book says to look at an equation in the textbook that doesn't exist, or, if it does, that I can't find.
     
    Last edited: Feb 16, 2012
  2. jcsd
  3. Feb 16, 2012 #2
    x = rcos(wt)
    y = rsin(wt)

    for position where w is the angular velocity

    if r is constant

    dx/dt = -rwsin(wt)
    dy/dt = rwcos(wt)
     
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