1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Parametric equations

  1. Dec 9, 2005 #1
    Could someone please give me a clue how to solve these parametric equations or a starting position.

    torus specified by these equations


    calculate the normal to the torus N(θ,Φ) and entire surface area

    p.s anyone recommend a book or a webresource that discusses this in detail as im very confused.
  2. jcsd
  3. Dec 9, 2005 #2


    User Avatar
    Science Advisor
    Homework Helper

    The formula for surface area in your book is:

    [tex]\int dx\; dy[/tex]

    where the integral is over the whole surface.

    You need to convert this into an integral over theta and phi. This might require some work.

    To get the surface normal, you might take the cross product between two vectors that are tangent to the surface. To get vectors tangent to the surface, take a look at the deriviative of x(theta,phi) where "x" stands for the three vector (x,y,z), with respect to theta and phi. Make a drawing and you may likely see what is going on.

Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?

Similar Discussions: Parametric equations
  1. Parametric equations (Replies: 1)

  2. Parametric Equations (Replies: 6)

  3. Parametric Equation (Replies: 3)

  4. Parametric equation (Replies: 10)