A civil engineer wishes to redesign the curved roadway in the figure below in su

Question

A civil engineer wishes to redesign the curved roadway in the figure below in such a way that a car will not have to rely on friction to round the curve without skidding. In other words, a car moving at the designated speed can negotiate the curve even when the road is covered with ice. Such a ramp is usually banked, which means that the roadway is tilted toward the inside of the curve. Suppose the designated speed for the ramp is to be 11.5 m/s (25.7 mi/h) and the radius of the curve is 37 m. At what angle should the curve be banked?

For the above example, suppose that the coefficient of static friction between the tires and the road is 0.41. What maximum speed could a car negotiate the exit ramp without skidding? vmax = m/s

Explanation / Answer

so nofriction (ice is there) vmax=v(rgtan?) ?=20.01 degree case 2 v=v(rg(sin?+µcos?)/cos?-µsin?) v=18.17m/s

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