(4 part question) Already have #1 The following figure shows a Ferris wheel that

ID: 1321752 • Letter: #

Question

(4 part question) Already have #1

The following figure shows a Ferris wheel that rotates 4 times each minute and has a diameter of 24 m.

What is the centripetal acceleration of a rider? The acceleration due to gravity is 9.8 m/s 2 . Answer in units of m/s^2 --> 2.11m/s^2

What force does the seat exert on a 51 kg rider at the lowest point of the ride? Answer in units of N

What force does the seat exert on a 51 kg rider at the highest point of the ride? Answer in units of N

What force (magnitude) does the seat exert on a rider when the rider is halfway between top and bottom? Answer in units of N

Here ,

at the lowest point

FN = Fg + Fc

FN = 51*(2.11 + 9.8)

FN = 607.92

the seat exert 607.92 N at the lowest point

at the highest point ,

FN = Fg - Fc

FN = 51*( - 2.11 + 9.8)

FN = 392.7 N

the seat exert 392.7 N at the top

at the midway

the force on the seat is oposite to resultant of Fc and Fg

Now ,

| FN | = sqrt(9.8^2 + 2.11^2 + 2*2.11*9.8*cos(135))*51

| FN | = 430.5 N

the rider is halfway between top and bottom is 430.5 N

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