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Help on a centripetal velocity question

  1. Mar 26, 2009 #1
    1. The problem statement, all variables and given/known data

    A concrete highway curve of radius 70.0 m is banked at a 13.0 degree angle.
    What is the maximum speed with which a 1900 kg rubber-tired car can take this curve without sliding? (Take the static coefficient of friction of rubber on concrete to be 1.0.)

    2. Relevant equations

    the equation that i was told to use is

    vmax=sqrroute(R*g*( (1 + Fs*cotan(13)) /cotan(13)-Fs) )

    3. The attempt at a solution
    so i plug in my numbers vmax= (70*9.8)* (1+1*cotan(13))/(cotan(13)-1)

    i get the sqrout of (686*1.023)

    which tells me vmax equals 26.49

    this is wrong can anyone help?
    h
     
  2. jcsd
  3. Mar 26, 2009 #2
    I didn't check to see if that equation matches the one I came up with( and I know is right since I have the same problem in my textbook)..but if its consistently giving you the wrong answer you should probably go back to your fbd and try again. The normal and static friction forces both have radial and z components and the force of gravity is acting on the car in the downward z direction. When I solved my force equations, I eliminated n....so try that.
     
  4. Mar 26, 2009 #3
    i found what i was doing wrong thanks for your help
     
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