The figure above shows a Ferris wheel that rotates four times each minute. It ca

ID: 2183717 • Letter: T

Question

The figure above shows a Ferris wheel that rotates four times each minute. It carries each car around a circle of diameter 20.0 m.

(a) What is the centripetal acceleration of a rider?

(b) What force does the seat exert on a 35.0 kg rider at the lowest point of the ride?

(d) What force (magnitude and direction) does the seat exert on a rider when the rider is halfway between top and bottom, going up?

Magnitude:

Direction: ? (measured inward from the vertical)

a) 4 x 2 rad per 60sec.

= 8/60 = 0.419 rad/s

ac = 2 r = 0.419^2 x (20/2) = 1.76 m/s2

b) at lowest point,

N = mg + m2 r

N = 35 x (9.81 + 1.76) = 404.80 N

c) at hieghest point , N =mg - m2 r = 35 x (9.81 - 1.76) = 281.75 N

d) N = m2 r i - mgj = 61.6i - 343.35j N

|N| = 61.6^2 + 343.34^2 = 348.83 N

= tan-1 (61.6/343.34) = 10.17 degrees

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