A curve in a speed track has a radius of 1000 ft and a rated speed of

Question:

A curve in a speed track has a radius of 1000 ft and a rated speed of 120 mi/h. (See Sample Problem 12.7 for the definition of rated speed). Knowing that a racing car starts skidding on the curve when traveling at a speed of 180 mi/h, determine

(a) The banking angle (,

(b) The coefficient of static friction between the tires and the track under the prevailing conditions, (c) The minimum speed at which the same car could negotiate that curve.