Question

While traveling at a constant speed in a car, the centrifugal acceleration passengers feel while the car is turning is inversely proportional to the radius of the turn. If the passengers feel an acceleration of 10 feet per second per second when the radius of the turn is 70 feet, find the acceleration the passengers feel when the radius of the turn is 140 feet.

Answer 1

A = k/R where A = acceleration and R = radius of the turn and k is a constant to be found.

Substituting the given values:-

10 = k / 70

k = 10*70 = 700

So the equation of the motion is A = 700 / R

When the radius is 140 the acceleration is 700 / 140 = 5 ft/sec/sec ( answer)