A 42.0-kg child takes a ride on a Ferris wheel that rotates four times each minute and has a diameter of 26.0 m. (a) What is the centripetal acceleration of the child? magnitude      2.28  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        507.36N direction      up toward the center   (c) What force does the seat exert on the child at the highest point of the ride? magnitude        315.84N direction      up away from the center   (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        Your incorrect answer may have resulted from roundoff error. Make sure you keep extra significant figures in intermediate steps of your calculation. N direction       ° counter-clockwise from the horizontal

Glencoe Physics: Principles and Problems, Student Edition
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Author:Paul W. Zitzewitz
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Chapter6: Motion In Two Dimensions
Section: Chapter Questions
Problem 61A
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I NEED HELP WITH PART D, PLEASE.

A 42.0-kg child takes a ride on a Ferris wheel that rotates four times each minute and has a diameter of 26.0 m.

(a) What is the centripetal acceleration of the child?
magnitude      2.28  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        507.36N
direction      up toward the center  

(c) What force does the seat exert on the child at the highest point of the ride?
magnitude        315.84N
direction      up away from the center  

(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       
Your incorrect answer may have resulted from roundoff error. Make sure you keep extra significant figures in intermediate steps of your calculation. N
direction       ° counter-clockwise from the horizontal

THE FOLLOWING EXPERT ANSWER IS WRONG

IT ALSO NEEDS TO HAVE a CCW From THE HORIZONTAL in DEGREES

Expert Answer

Step 1

Given:

Mass of a child (m) = 42.0 kg.

Rotation speed = four round in a minute.

Diameter of Ferris wheel (d) = 26.0 m.

Step 2

Part d)

The force on child at midway is,

412.02

Step 3

The direction of force is perpendicular to horizontal.

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