Calculating Minimum Coefficient of Friction for Safe Highway Curves

  • Thread starter shawpeez
  • Start date
In summary, the conversation discusses a banked circular highway curve designed for traffic moving at 60km/h with a radius of 200m. The question is posed about the minimum coefficient of friction needed for cars to safely take the turn at 40km/h in rainy conditions. The conversation suggests drawing a diagram and using equations to solve for the coefficient, assuming there is no angle given and no friction in rainy conditions.
  • #1
shawpeez
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A banked circular highway curve is designed for traffic moving at 60km/h. The radius of the curve is 200m. Traffic is moving along the highway at 40km/h on a rainy day. What is the minimum coeficient of friction between tires and road that will alow cars to take the turn without sliding off the road? (assume the cars do not have negative lift.)

I have a feeling Centripetal force is involved, but it gives no mass of a vehicle. I m pretty much lost, could someone point me in the right direction please!:smile:
 
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  • #2
Draw a diagram, in a problem like this, it is crucial. Write down the equations you think you need. Try to solve for the coefficent. Mass will cancel out. Is the angle given?
 
  • #3
no there is no angle given
 
  • #4
Well then I suppose you are supposed to assume there's no friction when it rains.
 

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