A 35.0-kg child takes a ride on a Ferris wheel that rotates four times each minute and has a diameter of 19.0 m. (a) What is the centripetal acceleration of the child? (b) What force (magnitude and direction) does the seat exert on the child at the lowest point of the ride? (c) What force does the seat exert on the child at the highest point of the ride? (d) What force does the seat exert on the child when the child is halfway between the top and bottom? Step 1 (a) The child moves in a circular path of radius r 9.5 m with a constant angular velocity of w = 4.00 rev/min. The centripetal acceleration is v.2 ro2 ас r 1 min \2 2л rad rev/min m 60 sec 1 rev m/s2

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter6: Applications Of Newton’s Laws Of Motion
Section6.6: Centripetal Force
Problem 6.11CE: The following objects are moving in uniform circular motion. Draw a free-body diagram for each...
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A 35.0-kg child takes a ride on a Ferris wheel that rotates four times each minute and has a diameter of 19.0
m.
(a) What is the centripetal acceleration of the child?
(b) What force (magnitude and direction) does the seat exert on the child at the lowest point of the
ride?
(c) What force does the seat exert on the child at the highest point of the ride?
(d) What force does the seat exert on the child when the child is halfway between the top and bottom?
Step 1
(a) The child moves in a circular path of radius r
9.5 m with a constant angular velocity of
w = 4.00 rev/min. The centripetal acceleration is
v.2
ro2
ас
r
1 min \2
2л rad
rev/min
m
60 sec
1 rev
m/s2
Transcribed Image Text:A 35.0-kg child takes a ride on a Ferris wheel that rotates four times each minute and has a diameter of 19.0 m. (a) What is the centripetal acceleration of the child? (b) What force (magnitude and direction) does the seat exert on the child at the lowest point of the ride? (c) What force does the seat exert on the child at the highest point of the ride? (d) What force does the seat exert on the child when the child is halfway between the top and bottom? Step 1 (a) The child moves in a circular path of radius r 9.5 m with a constant angular velocity of w = 4.00 rev/min. The centripetal acceleration is v.2 ro2 ас r 1 min \2 2л rad rev/min m 60 sec 1 rev m/s2
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