# A carnival Ferris wheel has a I5-m radius and completes five turns about its horizontal axis every minute. (a) What is the acceleration, magnitude and direction, of a passenger at the highest point? (b) What is the acceleration at the lowest point? (c) What force (magnitude and direction) must the Ferris wheel exert on a 75-kg person at the highest point and at the lowest point?

Deepak Patra
askIITians Faculty 471 Points
8 years ago

Therefore, the acceleration of the passenger at the highest point is4.11 m/s2 directed downwards to the center of wheel.
(b)
The magnitude of acceleration does not changes when the passengers changes its position as the wheel rotates. Therefore the magnitude of acceleration is 4.11 m/s2 however, the acceleration is directed upwards towards the center of wheel.
(c)

The weight of the person is:

The force exerted by the Ferry on the person when he/she is at the top is:

Therefore a force of 427 N is exerted by the Ferry on the person at the top, and is directed upwards.
The force exerted by the Ferry on the person when he/she is at the bottom is:

Therefore a force of 1043 N is exerted by the Ferry on the person at the top, and is directed upwards.