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!

Car going around banked curve with no friction

  1. Feb 13, 2012 #1
    1. The problem statement, all variables and given/known data
    a racecourse is designed with curves with a radius of 200m and a 10degree banking. What is the maximum speed a car can negotiate the curve without friction?


    2. Relevant equations
    newtons 3 laws


    3. The attempt at a solution
    tanTheta = v^2/gR
    tan10 = v^2/(9.8 * 200m)
    v = 345 m/s^2

    is this right?
     
  2. jcsd
  3. Feb 13, 2012 #2

    tiny-tim

    User Avatar
    Science Advisor
    Homework Helper

    hi chaotiiic! :smile:
    formula looks ok

    are you sure about the 345 ?

    (and speed is m/s, not m/s2)
     
  4. Feb 13, 2012 #3
    so is it 0.1763 = v^2/1960
    v^2=345.6
    v=18.59m/s
     
  5. Feb 13, 2012 #4

    tiny-tim

    User Avatar
    Science Advisor
    Homework Helper

    yes! :smile:

    (are you ok now, or is there anything you're still not sure about?)​
     
  6. Feb 13, 2012 #5
    thankyou. :surprised
    im actually still confused about everything. the only reason i was able to answer this problem is because there's a problem identical in my book to the one i asked. my teacher gives out quizzes before lectures so hopefully ill understand when i go to class later today.
     
  7. Feb 13, 2012 #6

    tiny-tim

    User Avatar
    Science Advisor
    Homework Helper

    ok, so you don't understand the reason for the formula? …
    like almost all dynamics questions, it all boils down to good ol' Newton's second law (F = ma) …

    you know the acceleration (as a function of v),

    and although you know the weight, you don't know the normal force …

    so you do F = ma perpendicular to the unknown (normal) force :smile:
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Car going around banked curve with no friction
Loading...