Results 1 to 5 of 5

Math Help - The curvature for a vector

  1. #1
    Junior Member
    Joined
    Mar 2008
    Posts
    58

    The curvature for a vector

    Find the t-value where \kappa(t)=0.0001m^{-1}
    for this vectorfunction:
    \overrightarrow{r}(t)=\binom{450t}{1200-30t^2-7t^3},   t\in[-5,5]

    I know that I must use this formula:

    \kappa(t)=\frac{x'(t)y''(t)-x''(t)y'(t)}{(x'(t)^2+y'(t)^2)^\frac{3}{2}}

    It's just that I don't know where to begin and what to do.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Nov 2008
    From
    France
    Posts
    1,458
    Quote Originally Posted by No Logic Sense View Post
    Find the t-value where \kappa(t)=0.0001m^{-1}
    for this vectorfunction:
    \overrightarrow{r}(t)=\binom{450t}{1200-30t^2-7t^3},   t\in[-5,5]

    I know that I must use this formula:

    \kappa(t)=\frac{x'(t)y''(t)-x''(t)y'(t)}{(x'(t)^2+y'(t)^2)^\frac{3}{2}}

    It's just that I don't know where to begin and what to do.
    Hi

    x(t) = 450t and y(t) = 1200-30t^2-7t^3

    You can substitute in the formula but it is going to be a hard job
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Junior Member
    Joined
    Mar 2008
    Posts
    58
    Oh, I get it now!

    I can just insert x(t) and y(t) in the respective places and then solve the fraction with the solve button on my calculator, right?
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor
    Joined
    Nov 2008
    From
    France
    Posts
    1,458
    That's it !
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Junior Member
    Joined
    Mar 2008
    Posts
    58
    Thanks!
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 2
    Last Post: September 25th 2010, 06:45 PM
  2. curvature
    Posted in the Calculus Forum
    Replies: 1
    Last Post: September 17th 2009, 02:26 PM
  3. Curvature
    Posted in the Calculus Forum
    Replies: 1
    Last Post: September 13th 2009, 02:33 AM
  4. Replies: 0
    Last Post: December 9th 2008, 07:41 PM
  5. Curvature
    Posted in the Calculus Forum
    Replies: 9
    Last Post: June 18th 2008, 04:55 AM

Search Tags


/mathhelpforum @mathhelpforum