1. Limited time only! Sign up for a free 30min personal 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!

Homework Help: Banked Circular Motion without friction

  1. Sep 27, 2012 #1
    1. The problem statement, all variables and given/known data

    A roadway is designed for traffic moving at a speed of 28 m s . A curved section of the
    roadway is a circular arc of 190 m radius. The roadway is banked so that a vehicle can go
    around the curve with the lateral friction forces equal to zero

    2. Relevant equations

    [itex]F_C = \frac{mv^2}{r}[/itex]

    3. The attempt at a solution


    N\sin\beta = \frac{mv^2}{r}
    mg\cos\beta\sin\beta = \frac{mv^2}{r}
    2\sin\beta\cos\beta = \frac{2v^2}{rg}
    \sin(2\beta) = \frac{2(28)(28)}{(190)(9.8)}

    I got the right answer if I didnt assume [itex]N = mg\cos\beta[/itex]

    Edit : Nevermind, careless mistake I was using different coordinate systems.
    Last edited: Sep 27, 2012
  2. jcsd
  3. Sep 27, 2012 #2


    User Avatar
    Homework Helper

    I assume you found that using [itex]
    mg\tan\beta = \frac{mv^2}{r}
    [/itex] was more fruitfull?
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook