Question

highway curves are often banked, so the normal force provides the centripetal force and cars don’t have to rely on friction. After having responded to an emergency call in the middle of a snowstorm, an ambulance is speeding back towards the hospital along a slippery curved road. Your job is to inform the ambulance driver of the maximum speed at which he can travel around this curve without slipping up the bank. You are told that the curve has a steep bank with an angle of 31° and a radius of 320-m.

Answer 1

The expression for the velocity in the banking of road is,

V² = r*g*tan ß

where r is the radius of circular curve and g is the acceleration due to gravity.

V² = 320*9.81*tan 31°

V² = 1886.22

V = 43.4 m/s

Thus the maximum speed in which he can travel around this curve is 43.4 m/s.