Example 3

A car travels with a speed of 50 km/h around a banked curve of radius 50 m.  What should be the angle of banking of the road surface so that the car could make it around the curve without slipping even if the road were very slick?  (Engineers design roadways with these so-called proper angles of banking to reduce tire wear and to help prevent accidents in bad weather.)

Answer: 22o

SOLUTION