Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

How to compute the area of a hyperboloid of revolution?

  1. Aug 4, 2012 #1
    Assume that the implicit equation of the one-sheeted hyperboloid is
    (x/a)^2 + (y/a)^2 - (z/c)^2 = 1

    How am I able to obtain the surface area of hyperboloid ?
    Thanks
     
  2. jcsd
  3. Aug 4, 2012 #2

    arildno

    User Avatar
    Science Advisor
    Homework Helper
    Gold Member
    Dearly Missed

    Parametrize the surface by:
    x=a*cos(u)*cosh(v)
    y=a*sin(u)*cosh(v)
    z=c*sinh(v)

    Where u runs the from 0 to 2*pi, whereas the limits of v is determined by the limits of z.

    Then, set up the surface integral in the usual way; it is analytically solvable.
     
    Last edited: Aug 4, 2012
  4. Aug 4, 2012 #3
    Thank you. I'll try it
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: How to compute the area of a hyperboloid of revolution?
  1. Area of hyperboloid (Replies: 6)

  2. Area of a hyperboloid (Replies: 3)

Loading...