In an amusement park ride called The Roundup, passengers stand inside a 16-m-diameter rotating ring. After the ring has acquired sufficient speed, it tilts into a vertical plane, as shown in the figure below. (a) Suppose the ring rotates once every 4.5 s. If a rider's mass is 55 kg, how much force does the ring push on them at the top of the ride? (b) What is the longest rotation period of the ring that will prevent the riders from falling off (at the top of the ride)? Rotation axis

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Chapter1: Units, Trigonometry. And Vectors
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In an amusement park ride called The Roundup, passengers stand inside a 16-m-diameter rotating ring. After the ring has acquired sufficient speed, it tilts into a vertical plane, as shown in the figure below. 

**(a)** Suppose the ring rotates once every 4.5 seconds. If a rider’s mass is 55 kg, how much force does the ring push on them at the top of the ride? 

**(b)** What is the longest rotation period of the ring that will prevent the riders from falling off (at the top of the ride)?

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**Diagram Explanation:**

The diagram shows a circular ring titled "Rotation axis" with arrows indicating the direction of rotation. It demonstrates the setup of the ride with representation of riders standing inside the circular structure. The axis of rotation is marked, and the rotation of the ring is denoted by circular arrows. The diagram aids in visualizing the physics problem by illustrating the vertical orientation and the center of rotation of the ride.
Transcribed Image Text:In an amusement park ride called The Roundup, passengers stand inside a 16-m-diameter rotating ring. After the ring has acquired sufficient speed, it tilts into a vertical plane, as shown in the figure below. **(a)** Suppose the ring rotates once every 4.5 seconds. If a rider’s mass is 55 kg, how much force does the ring push on them at the top of the ride? **(b)** What is the longest rotation period of the ring that will prevent the riders from falling off (at the top of the ride)? --- **Diagram Explanation:** The diagram shows a circular ring titled "Rotation axis" with arrows indicating the direction of rotation. It demonstrates the setup of the ride with representation of riders standing inside the circular structure. The axis of rotation is marked, and the rotation of the ring is denoted by circular arrows. The diagram aids in visualizing the physics problem by illustrating the vertical orientation and the center of rotation of the ride.
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