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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?

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?

Grade:upto college level

1 Answers

Deepak Patra
askIITians Faculty 471 Points
8 years ago
233-494_1.PNG
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)



233-1418_1.PNG
The weight of the person is:
233-359_1.PNG
The force exerted by the Ferry on the person when he/she is at the top is:
233-330_1.PNG
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:
233-924_1.PNG
Therefore a force of 1043 N is exerted by the Ferry on the person at the top, and is directed upwards.

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