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Math Help - Parameterize the motion of an object traveling a circular path.

  1. #1
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    Parameterize the motion of an object traveling a circular path.

    Parameterize the motion of an object traveling a circular path clockwise beginning at a point (4,0). The object completes one revolution in 3.14 seconds. It has to be in the form of x=sin( ) and y=cos( ).
    Last edited by mr fantastic; August 15th 2011 at 08:05 PM. Reason: Re-titled.
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  2. #2
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    Re: Need help understanding this please!!!!!!!!!

    What have you tried?

    Where are you stuck?
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  3. #3
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    Re: Need help understanding this please!!!!!!!!!

    Your answer can't be in the form x= cos( ), y= sin( ) because will never give (4, 0). Did you mean x= Acos( ), y= Asin( ) for some constant, A?
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    Re: Parameterize the motion of an object traveling a circular path.

    Hello, cdiesel89!

    Please give us the original wording.


    Parameterize the motion of an object traveling a circular path
    clockwise beginning at a point (4,0). . Where is the center?

    The object completes one revolution in 3.14 seconds.
    It has to be in the form: . x=\sin(\;),\;\;y=\cos(\;)

    The given forms are for a unit circle (radius 1).

    There are a brizillion possible circles.
    One of them has it center at (3,0).
    Its equation is: . (x-3)^2+ y^2 \:=\:1
    The parametric equations are: . \begin{Bmatrix}x &=& 3 + \sin\theta \\ y &=& \cos\theta \end{Bmatrix}


    HallsofIvy is correct.

    If the center is at the Origin and the radius is to be 4,
    . . the forms must have a leading coefficient.

    One set of parametric equations is: . \begin{Bmatrix}x &=& 4\sin\theta \\ y &=& 4\cos\theta \end{Bmatrix}


    If the period is to be \pi seconds, let \theta = 2t
    . . where t is in seconds.

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