Chapter 6, Problem 89A

To determine

Car travelling in roller coaster loop is in uniform circular motion.

Explanation of Solution

Introduction:

Acceleration of a any object is measured by measuring rate of change of velocity with respect to time.A velocity of an object is changes by an equal amount in equal interval of time then object has uniform acceleration.

As the car travelling in the roller coaster loop which is clothoid in shape. In clothoid shape the radius is constantly changing. The radius at the bottom of the shape is larger than the radius at the top. Thus,cars acceleration is different at the bottom and at the top.

So, motion is not uniform circular motion as acceleration is changing continuously.

Conclusion:

Motion is not uniform circular motion as acceleration is changing continuously.