A flat (unbanked) curve on a highway has a radius of 260 m. A car rounds the cur

Question

A flat (unbanked) curve on a highway has a radius of 260 m. A car rounds the curve at a speed of24.0 m/s. (a) What is the minimum coefficient of frictionthat will prevent sliding?

(b) Suppose the highway is icy and the coefficient of frictionbetween the tires and pavement is only one-third what you find inpart (a). What should be the maximum speed of the car so it canround the curve safely?

(a) What is the minimum coefficient of frictionthat will prevent sliding?

(b) Suppose the highway is icy and the coefficient of frictionbetween the tires and pavement is only one-third what you find inpart (a). What should be the maximum speed of the car so it canround the curve safely?

Explanation / Answer

radius r= 260 m speed v = 24 m / s (a). the minimum coefficient of friction that will preventsliding = v ^ 2 / ( rg ) where   g = 9.8 m / s ^ 2 plug the values we get = 0.226 (b). coefficient of friction between the tires and pavement is ' = / 3= 0.07535 maximum speed of the car so it can round the curve safely v '= [ ' r g ]             v ' = 13.85 m / s

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