The world's tallest Ferris wheel is in Las Vegas. The height h in feet of one of the passenger seats on the Ferris wheel can be modeled by the function f(t) = 275 +260 sin (30) where time t is measured in minutes after 8:00 a.m. 1. What is the diameter of the Ferris wheel? Explain how you know. 2. How long does it take the Ferris wheel to make a complete revolution? Explain how you know. 3. Give at least three different times when the passenger seat modeled by f is at its lowest point. Explain how you know. 4. Sketch a graph of the height of the seat on the Ferris wheel for at least two full revolutions.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The world's tallest Ferris wheel is in Las Vegas. The height h in feet of one of the passenger
seats on the Ferris wheel can be modeled by the function f(t) = 275 +260 sin (²)
where time t is measured in minutes after 8:00 a.m.
30
1. What is the diameter of the Ferris wheel? Explain how you know.
2. How long does it take the Ferris wheel to make a complete revolution? Explain how you
know.
3. Give at least three different times when the passenger seat modeled by f is at its lowest
point. Explain how you know.
4. Sketch a graph of the height of the seat on the Ferris wheel for at least two full revolutions.
Transcribed Image Text:The world's tallest Ferris wheel is in Las Vegas. The height h in feet of one of the passenger seats on the Ferris wheel can be modeled by the function f(t) = 275 +260 sin (²) where time t is measured in minutes after 8:00 a.m. 30 1. What is the diameter of the Ferris wheel? Explain how you know. 2. How long does it take the Ferris wheel to make a complete revolution? Explain how you know. 3. Give at least three different times when the passenger seat modeled by f is at its lowest point. Explain how you know. 4. Sketch a graph of the height of the seat on the Ferris wheel for at least two full revolutions.
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