4. Steamboat Problem Mark Twain sat on the deck of a river steamboat. As the paddlewheel turned, a point on the paddle blade moved in such a way that its distance, d, from the water'ssurface was a sinusoidal function of time. When his stopwatch read 4 s, the point was at its highest, 16 ft above the waters surface. The wheels diameter was 18 ft, and it completed a revolution every 10 s. a. Sketch a graph of the sinusoid. b. Writhe the equation of the sinusoid. C. How far above the surface was the point when Mark's stopwatch read: i. 5 s ii. 17 s e. What is the first positive value of time at which the point was at the water's surface? At that time, was it going into or coming out of the water? Explain.
4. Steamboat Problem Mark Twain sat on the deck of a river steamboat. As the paddlewheel turned, a point on the paddle blade moved in such a way that its distance, d, from the water'ssurface was a sinusoidal function of time. When his stopwatch read 4 s, the point was at its highest, 16 ft above the waters surface. The wheels diameter was 18 ft, and it completed a revolution every 10 s. a. Sketch a graph of the sinusoid. b. Writhe the equation of the sinusoid. C. How far above the surface was the point when Mark's stopwatch read: i. 5 s ii. 17 s e. What is the first positive value of time at which the point was at the water's surface? At that time, was it going into or coming out of the water? Explain.
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:4. Steamboat Problem Mark Twain sat on the deck of a river steamboat. As the paddlewheel turned, a point
on the paddle blade moved in such a way that its distance , d, from the water'ssurface was a sinusoidal
function of time. When his stopwatch read 4 s, the point was at its highest, 16 ft above the waters surface.
The wheels diameter was 18 ft, and it completed a revolution every 10 s.
a. Sketch a graph of the sinusoid.
b. Writhe the equation of the sinusoid.
C. How far above the surface was the point when Mark's stopwatch read:
i. 5 s
ii. 17s
e. What is the first positive value of time at which the point was at the water's surface? At that time, was it
going into or coming out of the water? Explain.
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