We began this task by considering the graph of the height of a rider on a Ferris wheel with a radius of 25 feet and center 30 feet off the ground, which makes one revolution counterclockwise every 20 seconds. How would your graph change if: The radius of the wheel is larger or smaller? The height of the center of the wheel is greater or smaller? The wheel rotates faster or slower?
We began this task by considering the graph of the height of a rider on a Ferris wheel with a radius of 25 feet and center 30 feet off the ground, which makes one revolution counterclockwise every 20 seconds. How would your graph change if: The radius of the wheel is larger or smaller? The height of the center of the wheel is greater or smaller? The wheel rotates faster or slower?
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:shift
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We began this task by considering the graph of the height of a rider on a Ferris wheel with a radius of 25 feet and
center 30 feet off the ground, which makes one revolution counterclockwise every 20 seconds. How would your
graph change if:
3.
The radius of the wheel is larger or smaller?
The height of the center of the wheel is greater or smaller?
The wheel rotates faster or slower?
4.
Given: h(t) = D + Asin(Bt)
How does the equation of the rider's height change if:
The radius of the wheel is larger or smaller?
The height of the center of the wheel is greater or smaller?
The wheel rotates faster or slower?
Transcribed Image Text:Tonovo
arny BST
Write the equation of the height of a rider on each of the following Ferris wheels t seconds after the rider passes
the farthest right position.
a.
The radius of the wheel is 30 feet, the center of the wheel is 45 feet above the ground, and the angular
speed of the wheel is 15 degrees per second counterclockwise.
The radius of the wheel is 50 feet, the center of the wheel is at ground level (you spend half of your time
below ground), and the wheel makes one revolution clockwise every 15 seconds.
b.
Ready for More?
1.
Create a description of a Ferris wheel that rotates clockwise, rather than counterclockwise. Describe how you will
account for this clockwise rotation graphically and algebraically, then sketch a graph and write an equation for
your description.
Create a description of a Ferris wheel that rotates counterclockwise for a while, comes to an abrupt halt, and then
2.
rotates clockwise for the same interval of time as the counterclockwise motion. Describe how you will account for
this motion graphically and algebraically, then sketch a graph and write an equation for your description
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