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Parameterization of the Circle

  1. Apr 22, 2012 #1
    1. The problem statement, all variables and given/known data

    Consider the following parameterization of the circle:
    a) x1 (t) = (cost, sint)

    b) x2 (t) = (cos3t, sin3t)

    c) x3 (t) = (sint, cost)

    How long does it take point a particle to go from (1,0) to (0,1) for each parameterization.

    2. Relevant equations

    3. The attempt at a solution
    (cos,sin) of (1,0) is 2pi then (cos, sin) of (0,1) is pi/2

    how would I figure out the time it takes?
  2. jcsd
  3. Apr 22, 2012 #2


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    For each parametrization find a value of t for which x(t) = (1, 0), then find the next greater value of t for which x(t) = (0, 1) .
  4. Apr 22, 2012 #3


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    Tricky wording. :smile:
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