Friction question (intro level)

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The discussion focuses on calculating the minimum coefficient of friction required for vehicles to safely navigate a banked curve at a reduced speed of 49 km/h. The curve is designed for 55 km/h with a radius of 213 m, and the angle of the bank is estimated to be 6.38 degrees. Participants confirm the angle is accurate and suggest using a free body diagram (FBD) to analyze the forces involved, including friction. The next steps involve applying algebra to determine the coefficient of friction. Understanding these concepts is essential for ensuring vehicle safety on wet roads.
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A banked circular highway curve is designed for traffic moving at 55 km/h. The radius of the curve is 213 m. Traffic is moving along the highway at 49 km/h on a rainy day. What is the minimum coefficient of friction between tires and road that will allow cars to negotiate the turn without sliding off the road?

I found the angle to be 6.38 degree. Is it right? How do I go from here?
Thanks,
 
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Fallinleave said:
I found the angle to be 6.38 degree. Is it right?
That's pretty close to what I came up with, differing by only the 3rd significant digit. :cool:
How do I go from here?
Thanks,
A free body diagram (FBD) would be a good start. Your FBD should look pretty similar to the FBD in the first part, except there is now a frictional force involved, parallel to the surface of the road.

(Then prepare yourself for bit of algebra). http://www.websmileys.com/sm/cool/694.gif
 
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