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!

Dynamics Problem

  1. Sep 14, 2006 #1
    A car moves around an ellipse with the equation
    [tex]\frac{x^2}{60^2} + \frac{y^2}{40^2} = 1 [/tex]
    -60<x<60
    -40<y<40

    The car keeps a constant speed of 60 km/h.

    I have to find the minimum acceleration experienced by the passengers of the car.

    ---------

    I am nearly sure that my solution contains the right process. However, they may be an error in calculation throughout. If anyone could check my answers, I would strongly appreciate it.

    There is no tangential acceleration. Therefore, acceleration = normal acceleration. Normal acceleration = [tex]\frac{v^2}{p} [/tex]
    Where:
    [tex]p = \frac{(1+ (dy/dx)^2)^\frac{3}{2}}{|d^2y/dx^2|} [/tex]

    After manipulation, I end up with a function for a:

    [tex]a = 2400*(v^2)*(\frac{180^2-9x^2}{(180^2-5x^2)(60^2-x^2)})^\frac{3}{2} [/tex]

    Afterwards, I diffentiated this 'a' function and found its roots. x=0, x=42.43, and x=60. Then, i calculated the accelerations as needed.

    Please tell me where I have gone astray!
     
  2. jcsd
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you help with the solution or looking for help too?
Draft saved Draft deleted



Similar Discussions: Dynamics Problem
  1. Rotional dynamics (Replies: 0)

  2. Dynamics problem (Replies: 0)

  3. Dynamics problem (Replies: 0)

Loading...