30. Water wheels are still used to power lumber mills in many historic regions. A typical water wheel has a diameter of 5 m and makes one complete revolution every 90 seconds. A particular paddle on a water wheel reaches a maximum height of 4m above the water when a timing mechanism reads 20 seconds. Sketch two complete cycles of this sinusoid. a. Write an equation, h(t), expressing the height of the paddle in terms of t. b. What is the radius of the water wheel? c. Find, to the nearest tenth, the height of the paddle when t = 30 seconds. d. Find, to the nearest tenth, the first three times the paddle is at a height of 1 meter above the water.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.5: Trigonometric Graphs
Problem 57E
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9:07
Graph Trig As...
-2-
-3
-4·
-5-
-6-
29. Write a secant function with the same attributes as the function above.
You may use a calculator for this problem.
30. Water wheels are still used to power lumber mills in many historic regions. A typical
water wheel has a diameter of 5 m and makes one complete revolution every 90 seconds. A
particular paddle on a water wheel reaches a maximum height of 4m above the water when
a timing mechanism reads 20 seconds.
Sketch two complete cycles of this sinusoid.
a. Write an equation, h(t), expressing the height of the paddle in terms of t.
b. What is the radius of the water wheel?
c. Find, to the nearest tenth, the height of the paddle when t = 30 seconds.
d.
Find, to the nearest tenth, the first three times the paddle is at a height of 1 meter
above the water.
N M +
Transcribed Image Text:9:07 Graph Trig As... -2- -3 -4· -5- -6- 29. Write a secant function with the same attributes as the function above. You may use a calculator for this problem. 30. Water wheels are still used to power lumber mills in many historic regions. A typical water wheel has a diameter of 5 m and makes one complete revolution every 90 seconds. A particular paddle on a water wheel reaches a maximum height of 4m above the water when a timing mechanism reads 20 seconds. Sketch two complete cycles of this sinusoid. a. Write an equation, h(t), expressing the height of the paddle in terms of t. b. What is the radius of the water wheel? c. Find, to the nearest tenth, the height of the paddle when t = 30 seconds. d. Find, to the nearest tenth, the first three times the paddle is at a height of 1 meter above the water. N M +
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