Results 1 to 2 of 2

Math Help - Coriolois Force Acting on Carousel

  1. #1
    Newbie
    Joined
    Mar 2011
    Posts
    23

    Coriolois Force Acting on Carousel

    You are on a carousel with a linear speed \vec{v}, such that \frac{d}{dt}\vec{v}=\vec{b}+.5\vec{v}
    and, \vec{b}\cdot\vec{v}=0

    Let \vec{C_t}(t) denote the tangential component of the Coriolis force exerted on your body at time t and let its magnitude equate 1. Calculate

    \frac{d}{dt}|\vec{C_t}|^2(t)


    The normal component of angular velocity is constant.

    I have been working on this problem for >6 hours to no avail. I have tried to get a detailed explanation as to how to do this, but no luck. There are only 4 sample questions in the textbook dealing with the Coriolis effect, which I can get non of.

    Help?

    I know that the velocity vector is tangent to the circle of rotation, and that the angular velocity is perpendicular to the plane of rotation, as well the force is directed away from the carousel, in the same plane as the velocity.
    Last edited by profound; September 20th 2011 at 04:37 PM.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Senior Member
    Joined
    Mar 2010
    Posts
    280

    Re: Coriolois Force Acting on Carousel

    We could solve this DE.

    Having dot product with v we get

    \vec{v}\frac{d}{dt}\vec{v}=\vec{v}\vec{b}+.5\vec{v  }\vec{v}

    and now we have

    \frac{d}{dt}(\vec{v} \: ^2)=\vec{v} \: ^2.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Lv movements candyfloss carousel
    Posted in the Geometry Forum
    Replies: 2
    Last Post: October 22nd 2011, 08:21 AM
  2. Replies: 2
    Last Post: November 18th 2010, 09:22 AM
  3. Replies: 6
    Last Post: March 27th 2010, 10:10 AM
  4. Replies: 2
    Last Post: February 7th 2009, 07:14 AM
  5. Group acting on set
    Posted in the Advanced Algebra Forum
    Replies: 2
    Last Post: November 24th 2008, 03:35 PM

Search Tags


/mathhelpforum @mathhelpforum