A Ferris wheel that rotates three times each minute. It carries each cararound a

Question

A Ferris wheel that rotates three times each minute. It carries each cararound a circle of diameter 17.0m. (a) What is the centripetal acceleration of arider?
1 m/s2

(b) What force does the seat exert on a 37.0 kg rider at the lowest point of the ride?
2 N

(c) What force does the seat exert on the rider at the highestpoint of the ride?
3 N

(d) What force (magnitude and direction) does the seat exert on arider when the rider is halfway between top and bottom, goingup?
4 N
5° (measured inward from thevertical)
A Ferris wheel that rotates three times each minute. It carries each cararound a circle of diameter 17.0m. (a) What is the centripetal acceleration of arider?
1 m/s2

(b) What force does the seat exert on a 37.0 kg rider at the lowest point of the ride?
2 N

(c) What force does the seat exert on the rider at the highestpoint of the ride?
3 N

(d) What force (magnitude and direction) does the seat exert on arider when the rider is halfway between top and bottom, goingup?
4 N
5° (measured inward from thevertical)
(a) What is the centripetal acceleration of arider?
1 m/s2

(b) What force does the seat exert on a 37.0 kg rider at the lowest point of the ride?
2 N

(c) What force does the seat exert on the rider at the highestpoint of the ride?
3 N

(d) What force (magnitude and direction) does the seat exert on arider when the rider is halfway between top and bottom, goingup?
4 N
5° (measured inward from thevertical)

Explanation / Answer

   v = 2 r / T      = 2 (8.5 m) / 20 s      = ........ m / s (a)    ar = v2 / r (b)    Flow = m (g +ar)            =......... N (c)    Fhigh = m (g -ar)            =......... N            =......... N (d)    Fmid = m (g2 +ar2)            =......... N (upward)     = tan-1(ar /g)           = ........o       

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