A civil engineer is asked to design a curved section of roadway that meets the following conditions: With ice on the road, when the coefficient of static friction between the road and rubber is 0.11, a car at rest must not slide into the ditch and a car traveling less than 90km/h must not skid to the outside of the curve. The acceleration of gravity is 9.81 m/s^2.
At what angle should the road be banked? Answer in units of degrees.
What is the minimum radius of curvature of the curve? Answer in units of m.