Question

A 30.0-kg child takes a ride on a Ferris wheel that rotates four times each minute and has a diameter of 20.0 m. (a) What is the centripetal acceleration of the child? magnitude 1.75 m/s² direction toward the center of the path (b) What force (magnitude and direction) does the seat exert on the child at the lowest point of the ride? magnitude 346.5 N direction up toward the center (c) What force does the seat exert on the child at the highest point of the ride? magnitude 354.2 Consider the net force that must act on the child to produce the required centripetal acceleration and then determine what part of the net force is exerted by the seat. N direction down toward the center What is the direction of the centripetal acceleration when the child is at the highest point of the circular motion, and what direction of force does this require the seat to exert? (d) What force does the seat exert on the child when the child is halfway between the top and bottom? (Assume the Ferris wheel is rotating clockwise and the child is moving upward.) magnitude 438 Consider what magnitude and direction the net force must act to produce the centripetal acceleration and then determine the force that the seat exerts. N direction 110 Find the angle from the vector components of the force that the seat exerts on the child. Sketching a vector addition diagram may help. ° counter-clockwise from the horizontal

          A 30.0-kg child takes a ride on a Ferris wheel that rotates four times each minute and has a diameter of 20.0 m.
(a) What is the centripetal acceleration of the child?
magnitude 1.75 m/s²
direction toward the center of the path
(b) What force (magnitude and direction) does the seat exert on the child at the lowest point of the ride?
magnitude 346.5 N
direction up toward the center
(c) What force does the seat exert on the child at the highest point of the ride?
magnitude 354.2
Consider the net force that must act on the child to produce the required centripetal acceleration and then
determine what part of the net force is exerted by the seat. N
direction down toward the center
What is the direction of the centripetal acceleration when the child is at the
highest point of the circular motion, and what direction of force does this require the seat to exert?
(d) What force does the seat exert on the child when the child is halfway between the top and bottom? (Assume the Ferris
wheel is rotating clockwise and the child is moving upward.)
magnitude 438
Consider what magnitude and direction the net force must act to produce the centripetal acceleration and then
determine the force that the seat exerts. N
direction 110
Find the angle from the vector components of the force that the seat exerts on the child. Sketching a vector
addition diagram may help. ° counter-clockwise from the horizontal

A 30.0-kg child takes a ride on a Ferris wheel that rotates four times each minute and has a diameter of 20.0 m.
(a) What is the centripetal acceleration of the child?
magnitude 1.75 m/s²
direction toward the center of the path
(b) What force (magnitude and direction) does the seat exert on the child at the lowest point of the ride?
magnitude 346.5 N
direction up toward the center
(c) What force does the seat exert on the child at the highest point of the ride?
magnitude 354.2
Consider the net force that must act on the child to produce the required centripetal acceleration and then
determine what part of the net force is exerted by the seat. N
direction down toward the center
What is the direction of the centripetal acceleration when the child is at the
highest point of the circular motion, and what direction of force does this require the seat to exert?
(d) What force does the seat exert on the child when the child is halfway between the top and bottom? (Assume the Ferris
wheel is rotating clockwise and the child is moving upward.)
magnitude 438
Consider what magnitude and direction the net force must act to produce the centripetal acceleration and then
determine the force that the seat exerts. N
direction 110
Find the angle from the vector components of the force that the seat exerts on the child. Sketching a vector
addition diagram may help. ° counter-clockwise from the horizontal

Added by Jeremiah C.

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