Circular freeway entrance and exit ramps are commonly banked to handle a car moving at 13 m/s.To design a similar ramp for 26 m/s one should:
A)increase the radius by a factor of 2
B)decrease the radius by a factor of 2
C)increase the radius by a factor of 4
D)decrease the radius by a factor of 4
E)increase the radius by a factor of

Question

Quizplus · Accepted Answer

The centripetal force required for a car to navigate a banked curve is proportional to the square of the velocity. Doubling the speed from 13 m/s to 26 m/s requires increasing the radius by a factor of 4 to maintain the same banking angle and frictional conditions.

Circular Freeway Entrance and Exit Ramps Are Commonly Banked to Handle