Calculating Minimum Coefficient of Friction for Safe Highway Curves

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To calculate the minimum coefficient of friction for a banked curve designed for 60 km/h traffic, the radius is 200 m, and the actual speed is 40 km/h on a rainy day. Centripetal force is essential in this scenario, and while the vehicle mass is not provided, it will cancel out in the calculations. A diagram can help visualize the forces at play, and relevant equations should be written down to aid in solving for the coefficient. The absence of an angle suggests that the scenario assumes no friction due to wet conditions. Understanding these factors is crucial for determining the necessary friction to prevent sliding off the road.
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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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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?
 
no there is no angle given
 
Well then I suppose you are supposed to assume there's no friction when it rains.
 

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