A highway curve of radius 80 m is banked at 45°.Suppose that an ice storm hits,and the curve is effectively frictionless.What is the speed with which to take the curve without tending to slide either up or down the surface of the road?
A)9.4 m/s
B)28 m/s
C)780 m/s
D)The curve cannot be taken safely at any speed.

Question

Quizplus · Accepted Answer

The speed at which the curve can be taken without sliding is given by the formula v = sqrt(r*g*tan(theta)), where r is the radius, g is the acceleration due to gravity, and theta is the banking angle. Substituting the given values, v = sqrt(80*9.8*tan(45°)) = 28 m/s.

A Highway Curve of Radius 80 M Is Banked at 45°.Suppose