Friction needed so car does not spin out? how do you do this?

AI Thread Summary
To ensure a car does not skid while rounding a banked curve at a speed of 13.41 m/s, the curve must be designed with a specific banking angle. Given a radius of 213.0 m, the banking angle can be calculated using the formula that relates speed, radius, and gravitational force. The discussion emphasizes the importance of engineering design to create a safe exit ramp that relies solely on the banking angle rather than friction. Participants are encouraged to share their calculations or methods attempted to determine the appropriate angle. Proper design will enhance safety and performance on highway curves.
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An engineer must design a curved exit ramp for a highway in such a way that a car, exiting at the posted speed limit of 13.41 m/s (30 mi/hr), does not depend on friction to round the curve without skidding. The radius of the curve is 213.0 m. At what angle with respect to the horizontal must the curve be banked (in degrees)?
 
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