Results 1 to 2 of 2

Math Help - Find a path that traces the circle....

  1. #1
    Newbie
    Joined
    Jan 2008
    Posts
    11

    Find a path that traces the circle....

    im having trouble figuring out what the problem wants me to find.

    Find a path that traces the circle in the plane with radius and center with constant speed 8.

    thanks in advance!
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Junior Member
    Joined
    Nov 2008
    Posts
    61
    The best way to do this is to parameterize x, y and z. Since we're working in the plane y=-1, y is easy enough to parametrize, it's just y=-1. x and z are a little more difficult. Let's imagine for right now that the circle were centred at the origine, then x and z can be expressed as

    <br />
x=r\, cos(wt)<br />
    <br />
z=r\, sin(wt)<br />

    where r is the radius of the circle (r=2), t is the time and w is a constant we'll have to find for ourselves (it relates to the speed). Note also that the choice of cos for x and sin for z is arbitrary, we could have gone sin for x and cos for z.

    Now since the center has to be (3, -1, 2), just add 3 to x and 2 to z:

    <br />
x=2\, cos(wt)+3<br />
    <br />
z=2\, sin(wt)+2<br />

    From here all you have to do is find w and you're all done. Let me know if you need any more help on this.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 2
    Last Post: February 6th 2010, 08:31 AM
  2. Replies: 3
    Last Post: May 27th 2009, 06:58 PM
  3. find the locus path
    Posted in the Pre-Calculus Forum
    Replies: 4
    Last Post: July 3rd 2008, 05:45 AM
  4. Find the traces then graph
    Posted in the Calculus Forum
    Replies: 0
    Last Post: February 11th 2008, 03:20 PM
  5. Center of the Circle Path
    Posted in the Geometry Forum
    Replies: 10
    Last Post: January 17th 2007, 04:04 PM

Search Tags


/mathhelpforum @mathhelpforum