Question

The Big-I in Albuquerque, NM has an exit ramp that takes southbound traffic eastwards. The ramp is a circular arc of radius 56.5 m, and banked at 32o. The posted speed is 45 mph, which allows a car to neither slide up nor down the incline. Show how to determine the coefficient of friction (kinetic or static?) between the road and the car tires. On an icy day when the coefficient of friction is 30% that of the dry road, show how to determine the minimum and maximum safe speeds for this exit ramp.

Answer 1

7=56.5 m, 0-32° V=45mbh - 20.12 ms. ing since ds to. | rong cova doom FBD : 200 O = mg sino + Mg mg coso = my? Ms g coso = v2 gsimo Ms = g.Como 62-Smo) My = auf dentes. ( 20.1272 – 9&*Bin32') 48 = 0.237] for Vmin: mg sino=mvorming + Mg mg cosco => Varning = 40601 Viina 16124 mls. 1 (6) Mg = 0.0712 me masing toyo ya macolo -Lt-II for Vmadi Vanhan = g Sino + Mag Corb = 5.785 Vanaa = 180079 ms. ma