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The Ferris Wheel Al and Betty have gone to the amusement park to ride on a Ferris wheel. The wheel in the park has a radius of 15 feet, and its center is 20 feet above ground level. Assume it takes 24 seconds to make a complete revolution. You can describe the various positions in the cycle of the Ferris wheel in terms of the face of a clock, as indicated in the accompanying diagram. Think of Al and Betty's location as they ride as simply a point on the circumference of the wheel's circular path. That is, ignore the size of the Ferris wheel seats, Al and Betty's own heights, and so on.

The Ferris Wheel Al and Betty have gone to the amusement park to ride on a Ferris wheel. The wheel in the park has a radius of 15 feet, and its center is 20 feet above ground level. Assume it takes 24 seconds to make a complete revolution. You can describe the various positions in the cycle of the Ferris wheel in terms of the face of a clock, as indicated in the accompanying diagram. Think of Al and Betty's location as they ride as simply a point on the circumference of the wheel's circular path. That is, ignore the size of the Ferris wheel seats, Al and Betty's own heights, and so on.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Using the 3:00 and 4:00 positions and figure out how far off the ground Al and Betty are when they reach each of those positions.
### Understanding the Ferris Wheel: A Clock Representation The image above depicts a Ferris wheel with an overlay of a clock face. This visual representation helps in understanding the movement and positioning of the Ferris wheel's chairs through the analogy of time. #### Detailed Explanation: 1. **Structure of the Ferris Wheel:** - The Ferris wheel consists of a large, circular frame with multiple support beams radiating from the center. - Passenger chairs are attached at intervals along the outer rim of the wheel, ensuring balanced weight distribution. 2. **Clock Overlay:** - The Ferris wheel is superimposed with the numbers of a clock from 1 to 12. - This overlay serves as a helpful tool to understand the position of the chairs relative to time. - For example, referencing the 12:00 position would point directly to the top of the wheel, whereas the 6:00 position corresponds to the bottom. 3. **Educational Insights:** - **Circular Motion:** The Ferris Wheel demonstrates circular motion. As the wheel rotates clockwise or counterclockwise, it presents a practical example of rotational movement. - **Understanding Time Relationships:** By using the clock overlay, students can better grasp concepts of time and directional positioning. This visual aid offers a dual learning opportunity: understanding the mechanical structure and function of a Ferris wheel while also reinforcing the concepts of time and positional awareness.
Transcribed Image Text:### Understanding the Ferris Wheel: A Clock Representation The image above depicts a Ferris wheel with an overlay of a clock face. This visual representation helps in understanding the movement and positioning of the Ferris wheel's chairs through the analogy of time. #### Detailed Explanation: 1. **Structure of the Ferris Wheel:** - The Ferris wheel consists of a large, circular frame with multiple support beams radiating from the center. - Passenger chairs are attached at intervals along the outer rim of the wheel, ensuring balanced weight distribution. 2. **Clock Overlay:** - The Ferris wheel is superimposed with the numbers of a clock from 1 to 12. - This overlay serves as a helpful tool to understand the position of the chairs relative to time. - For example, referencing the 12:00 position would point directly to the top of the wheel, whereas the 6:00 position corresponds to the bottom. 3. **Educational Insights:** - **Circular Motion:** The Ferris Wheel demonstrates circular motion. As the wheel rotates clockwise or counterclockwise, it presents a practical example of rotational movement. - **Understanding Time Relationships:** By using the clock overlay, students can better grasp concepts of time and directional positioning. This visual aid offers a dual learning opportunity: understanding the mechanical structure and function of a Ferris wheel while also reinforcing the concepts of time and positional awareness.
### The Ferris Wheel Al and Betty have gone to the amusement park to ride on a Ferris wheel. The wheel in the park has a radius of 15 feet, and its center is 20 feet above ground level. Assume it takes 24 seconds to make a complete revolution. You can describe the various positions in the cycle of the Ferris wheel in terms of the face of a clock, as indicated in the accompanying diagram. Think of Al and Betty's location as they ride as simply a point on the circumference of the wheel's circular path. That is, ignore the size of the Ferris wheel seats, Al and Betty’s own heights, and so on. [Note: The diagram accompanying the text should depict a Ferris wheel, illustrating its circular motion, with the positions on the wheel marked to correspond with the hours on a clock face (12 o'clock, 3 o'clock, 6 o'clock, and so forth). The center of the wheel should be shown 20 feet above ground level, and the radius should be indicated as 15 feet.]
Transcribed Image Text:### The Ferris Wheel Al and Betty have gone to the amusement park to ride on a Ferris wheel. The wheel in the park has a radius of 15 feet, and its center is 20 feet above ground level. Assume it takes 24 seconds to make a complete revolution. You can describe the various positions in the cycle of the Ferris wheel in terms of the face of a clock, as indicated in the accompanying diagram. Think of Al and Betty's location as they ride as simply a point on the circumference of the wheel's circular path. That is, ignore the size of the Ferris wheel seats, Al and Betty’s own heights, and so on. [Note: The diagram accompanying the text should depict a Ferris wheel, illustrating its circular motion, with the positions on the wheel marked to correspond with the hours on a clock face (12 o'clock, 3 o'clock, 6 o'clock, and so forth). The center of the wheel should be shown 20 feet above ground level, and the radius should be indicated as 15 feet.]
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