Now that we have our angular velocity, we can write our parametric equations. Remember that x = r cos(w. t) +x and y=rsin(w t) +y can be used to model our ferris wheel, where r is the radius, w is the angular speed, t is time, (x,y) is the center of the circle. Our ferris wheel has a 30 foot radius and sits 10 feet off the ground. Assume that there is no change in horizontal position. What is the radius, r? Enter as a numeric value (no units). From the previous slide, what is the angular speed, w? Enter as a numeric value (no units). What is the center of the circle for the Ferris Wheel? (Hint: Remember that the ferris wheel is 10 feet of the ground. That would be the distance from the ground to the bottom of the wheel. What would be the distance from the center of the wheel to the ground?). Enter as an order pair (x,y).
Now that we have our angular velocity, we can write our parametric equations. Remember that x = r cos(w. t) +x and y=rsin(w t) +y can be used to model our ferris wheel, where r is the radius, w is the angular speed, t is time, (x,y) is the center of the circle. Our ferris wheel has a 30 foot radius and sits 10 feet off the ground. Assume that there is no change in horizontal position. What is the radius, r? Enter as a numeric value (no units). From the previous slide, what is the angular speed, w? Enter as a numeric value (no units). What is the center of the circle for the Ferris Wheel? (Hint: Remember that the ferris wheel is 10 feet of the ground. That would be the distance from the ground to the bottom of the wheel. What would be the distance from the center of the wheel to the ground?). Enter as an order pair (x,y).
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:Now that we have our angular velocity, we can write our
parametric equations.
Remember that x = r cos(w t) +x and
y=rsin (w t) +y can be used to model our ferris
wheel, where r is the radius, w is the angular speed, t
is time, (x,y) is the center of the circle.
Our ferris wheel has a 30 foot radius and sits 10 feet off
the ground. Assume that there is no change in horizontal
position.
What is the radius, r? Enter as a numeric value (no
units).
From the previous slide, what is the angular speed, w?
Enter as a numeric value (no units).
What is the center of the circle for the Ferris Wheel?
(Hint: Remember that the ferris wheel is 10 feet of the
ground. That would be the distance from the ground to
the bottom of the wheel. What would be the distance
from the center of the wheel to the ground?). Enter as an
order pair (x, y).
W
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