5. A ferris wheel has a radius of 26 feet and completes 6 revolutions in 1.5 minutes. a. Find the linear speed of a rider on the edge of the ferris wheel, in miles per hour. Round to the nearest tenth. b. Find the angular speed of the rider in degrees per second. C. Assume the rider begins at the lowest point of the wheel, 2 feet above ground level. Model the height of the rider, in feet above the ground, as a function of time in seconds, using a sine equation with only positive numbers in the final equation. d. What is an appropriate domain and range for the function without context? What is an appropriate domain and range for the function using the context of this problem? Explain your reasoning.
5. A ferris wheel has a radius of 26 feet and completes 6 revolutions in 1.5 minutes. a. Find the linear speed of a rider on the edge of the ferris wheel, in miles per hour. Round to the nearest tenth. b. Find the angular speed of the rider in degrees per second. C. Assume the rider begins at the lowest point of the wheel, 2 feet above ground level. Model the height of the rider, in feet above the ground, as a function of time in seconds, using a sine equation with only positive numbers in the final equation. d. What is an appropriate domain and range for the function without context? What is an appropriate domain and range for the function using the context of this problem? Explain your reasoning.
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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Transcribed Image Text:E X
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7.
5. A ferris wheel has
radius of 26 feet and completes 6 revolutions in 1.5 minutes.
a. Find the linear speed of a rider on the edge of the ferris wheel, in miles per hour. Round
to the nearest tenth.
b. Find the angular speed of the rider in degrees per second.
c. Assume the rider begins at the lowest point of the wheel, 2 feet above ground level.
Model the height of the rider, in feet above the ground, as a function of time in seconds,
using a sine equation with only positive numbers in the final equation.
d. What is an appropriate domain and range for the function without context? What is an
appropriate domain and range for the function using the context of this problem? Explain
your reasoning.
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