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Highway curves are marked with a suggested speed. If this speed is based on what would be safe in wet weather, estimate the radius of curvaure for a curve marked 50km/h?The coefficient of static friction of rubber on wet concrete is .7, the coefficient of kinetic friction of rubber on wet concrete is .5 .
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In other words, find the centripetal acceleration on the car of going around a curve of radius R and set that equal to the maximum frictional force the car can receive from its tires. If that frictional force is less than the centripetal force, then the the car will spin off the road.
So \[ma_{R}=m v^{2}/r\] is the formula for centrifugal acceleration.
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