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Banked curves

  1. Apr 2, 2008 #1
    1. The problem statement, all variables and given/known data

    The drawing shows a baggage carousel at an airport. Your suitcase has not slid all the way down the slope and is going around at a constant speed on a circle (r = 12.8 m) as the carousel turns. The coefficient of static friction between the suitcase and the carousel is 0.760, and the angle in the drawing is 32.6°. How much time is required for your suitcase to go around once?

    2. Relevant equations

    v=sqrt(R*g*tan(theta))

    2*pi*r

    v=sqrt(r*friction*9.8)

    3. The attempt at a solution

    2*pi*12.8=80.424 meters

    v=sqrt(125.44*tan(32.6)

    v=sqrt(80.222)= 8.95 m/s


    v=sqrt(8.95*.760*9.8)


    this is incorrect, i know it has something to do with the frictional force but im not sure where it goes into play
     
    Last edited: Apr 2, 2008
  2. jcsd
  3. Apr 2, 2008 #2

    Doc Al

    User Avatar

    Staff: Mentor

    Rather than plugging into a formula that neglects friction, analyze the problem using first principles. Identify the forces acting on the suitcase, draw a free body diagram, and apply Newton's laws.
     
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