Tutorials in Introductory Physics
1st Edition
ISBN: 9780130970695
Author: Peter S. Shaffer, Lillian C. McDermott
Publisher: Addison Wesley
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Chapter 23.3, Problem 1aTH
To determine
To Explain: Period
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Water waves have a frequency of 15 Hz and a
wavelength of 4 meters. What is the period of
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SteamBoat Problem
Mark Twain sat on the deck of a river steamboat. As the paddle wheel turned, a point on the paddle
blade moved so that its distance, d, from the water's surface was a sinusoidal function of time. When
Twain's stopwatch read 1 seconds, the point was at its highest, 18 feet above the water's surface. The
wheel's diameter was 20 feet, and it completed a revolution every 9.5 seconds.
Draw the function and write the cosine function to model this situation.
-26+
24
22
20-
18-
16-
14-
10
12
14
16
18
-4
+9-
Clear All Draw: MM
Write a cosine function that models the following problem. Use exact values.
f(x) =
4
3
2
1
-1
-2
-3
-4
-5
0.5
1
1.5
2.5
3
3.5
Time (s)
For the above graph, in exact form (e.g. 7, 0.25, 10), find the:
• Amplitude of the blue curve
(m)
• Period of the blue curve
(s)
• Frequency of the blue curve
(Hz)
• Amplitude of the red curve
(m)
• Period of the red curve
(s)
Frequency of the red curve
(Hz)
Note: don't include the units, just the value.
x (m)
Chapter 23 Solutions
Tutorials in Introductory Physics
Ch. 23.1 - Prob. 1THCh. 23.1 - In the spaces provided belowright, carefully draw...Ch. 23.1 - Prob. 2bTHCh. 23.1 - We begin by considering the forces exerted on a...Ch. 23.1 - Prob. 3bTHCh. 23.1 - Prob. 3cTHCh. 23.1 - Prob. 3dTHCh. 23.1 - Prob. 3eTHCh. 23.1 - Prob. 4THCh. 23.2 - Prob. 1TH
Ch. 23.2 - Prob. 2aTHCh. 23.2 - Prob. 2bTHCh. 23.2 - Prob. 2cTHCh. 23.2 - Prob. 3aTHCh. 23.2 - Prob. 3bTHCh. 23.2 - Prob. 3cTHCh. 23.2 - The figure at right has several errors. How many...Ch. 23.3 - Prob. 1aTHCh. 23.3 - Prob. 1bTHCh. 23.3 - Prob. 1cTHCh. 23.3 - For each of the periodic functions below, indicate...Ch. 23.3 - Prob. 2THCh. 23.3 - Use trigonometry to determine the mathematical...Ch. 23.3 - Starting from the equation that you wrote above,...Ch. 23.3 - Suppose the speed of the refracted wave were half...Ch. 23.3 - Prob. 3dTHCh. 23.4 - A long, thin steel wire is cut in half, and each...Ch. 23.4 - A long, thin steel wire is cut in half, and each...Ch. 23.4 - A long, thin steel wire is cut in half, and each...Ch. 23.4 - Consider an instant when the fields are nonzero at...Ch. 23.4 - How would your answers to parta be different if...Ch. 23.4 - Prob. 3TH
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