Question

A curving freeway exit has a radius of 50 m and a posted speed limit of 35 mph. What is your radial acceleration if you take this exit at the posted

speed? Use 1 mph = 0.447 m/s.
4.9 m/s2
6.3 m/s2
0.3 m/s2
2.5 m/s2

Answer 1

The radial acceleration, a = 4.9 m/s²

Step-by-step explanation:

Given,

The radius of the curve, r = 50 m

The speed limit of the curve, v = 35 mph

= 15.645 m/s

The radial acceleration of the car is given by the formula,

a = v² / r

Substituting the given values in the above equation

a = 15.645 / 50

= 4.9 m/s²

Hence, the radial acceleration of the car is, a = 4.9 m/s²