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The figure shows a photo of a swing ride at an amusement park. The structure consists of a horizontal, rotating, circular platform of diameter D from which seats of mass m are suspended at the end of massless chains of length d. When the system rotates at constant speed, the chains swing outward and make an angle ? with the vertical. Consider such a ride with the following parameters: D = 7.00 m, d = 2.50 m, m = 9.9 kg, and ? = 29.0°. (a) What is the speed of each seat (in m/s)? (b) Draw a diagram of forces acting on a 40.0-kg child riding in a seat.   (c) Find the tension in the chain (in N).

The figure shows a photo of a swing ride at an amusement park. The structure consists of a horizontal, rotating, circular platform of diameter D from which seats of mass m are suspended at the end of massless chains of length d. When the system rotates at constant speed, the chains swing outward and make an angle ? with the vertical. Consider such a ride with the following parameters: D = 7.00 m, d = 2.50 m, m = 9.9 kg, and ? = 29.0°. (a) What is the speed of each seat (in m/s)? (b) Draw a diagram of forces acting on a 40.0-kg child riding in a seat.   (c) Find the tension in the chain (in N).

Principles of Physics: A Calculus-Based Text
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter5: More Applications Of Newton’s Laws
Section: Chapter Questions
Problem 47P: Figure P5.47 shows a photo of a swing ride at an amusement park. The structure consists of a...
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The figure shows a photo of a swing ride at an amusement park. The structure consists of a horizontal, rotating, circular platform of diameter D from which seats of mass m are suspended at the end of massless chains of length d. When the system rotates at constant speed, the chains swing outward and make an angle ? with the vertical. Consider such a ride with the following parameters: D = 7.00 m, d = 2.50 m, m = 9.9 kg, and ? = 29.0°.

(a) What is the speed of each seat (in m/s)?

(b) Draw a diagram of forces acting on a 40.0-kg child riding in a seat.
 
(c) Find the tension in the chain (in N).
 
What If? The chains holding each seat can withstand a maximum total tension of 700 N.
(d) What is the angle that the chains make with the vertical (in degrees) when they have this tension?
 
(e) What is the maximum angular speed (in rad/s) with which the ride can rotate?
The figure shows a photo of a swing ride at an amusement park. The structure consists of a horizontal, rotating, circular platform of diameter D from which seats of mass m are suspended at the end of massless chains of length d. When the system rotates at constant speed, the chains swing outward and make an angle 8 with the vertical. Consider such a ride with the following parameters: D = 7.00 m, d = 2.50 m, m = 9.9 kg, and 8 = 29.0°. (a) What is the speed of each seat (in m/s)? m/s (b) Draw a diagram of forces acting on a 40.0-kg child riding in a seat. Seleccionar archivo Ningún archivo seleccionado This answer has not been graded yet. (c) Find the tension in the chain (in N). What If? The chains holding each seat can withstand a maximum total tension of 700 N. (d) What is the angle that the chains make with the vertical (in degrees) when they have this tension? (e) What is the maximum angular speed (in rad/s) with which the ride can rotate? rad/s t Gregory/Photographer's Choica/Getty Images
Transcribed Image Text:The figure shows a photo of a swing ride at an amusement park. The structure consists of a horizontal, rotating, circular platform of diameter D from which seats of mass m are suspended at the end of massless chains of length d. When the system rotates at constant speed, the chains swing outward and make an angle 8 with the vertical. Consider such a ride with the following parameters: D = 7.00 m, d = 2.50 m, m = 9.9 kg, and 8 = 29.0°. (a) What is the speed of each seat (in m/s)? m/s (b) Draw a diagram of forces acting on a 40.0-kg child riding in a seat. Seleccionar archivo Ningún archivo seleccionado This answer has not been graded yet. (c) Find the tension in the chain (in N). What If? The chains holding each seat can withstand a maximum total tension of 700 N. (d) What is the angle that the chains make with the vertical (in degrees) when they have this tension? (e) What is the maximum angular speed (in rad/s) with which the ride can rotate? rad/s t Gregory/Photographer's Choica/Getty Images
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