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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Compare the wave function y (x,t) using sine and cosine functions. State their similarities and differences concerning the wave parameters : direction of motion , amplitude , frequency , period , wavelength , angular frequency , speed and wave number . Support your answer by Illustrating the salient points/parameters using graph/diagram of sinusoidal wave.
A resonating glass tube closed at one end is 4 cm wide and 47 cm long. What are the frequencies and wavelengths of the first three harmonics for the resonating tube? The speed of sound in air is 343 m/s.
Remember to include the following when answering these questions:
What did you get? (your answer with the correct units and supporting work)
How did you get that? (the equation you chose to use to get your answer)
Why did you use that? (the concept that supports the use of the equation that you chose to use)
One uses the attached equation to solve for fundamental frequency. (note: T=mg)
a. If one were to half the mass, what would the expected ratio be between the unhalved mass system:halved mass system?
b. If one were to half the length, what would the ratio of unhalved:halved be expected to be?
Please explain a and b according to equation referenced and attached.
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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- Later in this book, you will learn that sound is a wave. The wavelength and frequency f of a wave are related by f = v where v is the speed of the wave. Musicians refer to these different wavelengths or frequencies by their notes (AG). Use the information in the following table to plot the frequency on the vertical axis and 1/ on the horizontal axis. Give a conceptual Interpretation and numerical value of the slope on your graph.arrow_forwardEssay : Compare the wave function y (x,t) using sine and cosine functions. State their similarities and differences concerning the wave parameters : direction of motion , amplitude , frequency , period , wavelength , angular frequency , speed and wave number . Support your answer by Illustrating the salient points/parameters using graph/diagram of sinusoidal wave.arrow_forwardDiagram below shows three types of wave phenomena, reflection,diffraction and refraction. Which in the diagram identifies the wave phenomena demonstrated correctly?arrow_forward
- Describe what is meant by "one cycle" of a sine or cosine wave. How is this different from the "period" of that wave? How are these two ideas related to each other?arrow_forwardBelow is the depicted graph of the velocity of a block that is connected to a spring with an unspecified mass and a force constant of 80 N/m, undergoing oscillation. The time axis is wrongly marked for 1.6 sec. It should be 1.8 sec. Determine the period, frequency, and angular frequency of oscillation? Calculate the maximum displacement of the mass from equilibrium in centimeters? Just so you know: It does not correspond to the amplitude of the velocity graph. What is the peak acceleration of the mass and identify the moments when it transpires?arrow_forwardChristine Karera hangs a spring and it oscillates at a frequency of 60 cycles in a minute when an object is attached to it. A. Calculate the mass of the object if the spring constant is 250 N/m. Show your formula transformation. B. Solve for the frequency of a vibrating pendulum if it has a length of 2 m. What will be its period? If you disregard the length provided (2m), what will be the length of the pendulum if period (T) is given with a value of 3 seconds? Show your formula transformation.arrow_forward
- A bass guitar string is 1.5 m long. If the fundamental frequency is 220 Hz, calculate the following for the first 3 harmonics? a) Wavelengths b) Frequencies c) Wave speed Remember to include the following when answering these questions: What did you get? (your answer with the correct units and supporting work) How did you get that? (the equation you chose to use to get your answer) Why did you use that? (the concept that supports the use of the equation that you chose to use)arrow_forwardIdentify an object that undergoes uniform circular motion. Describe how you could trace the simple harmonic motion of this object as a wave.arrow_forwardDescribe the difference between reflection of a mechanical wave about a free boundary, and a fixed boundary. Include the terms amplitude and inverted. Give one example of each kind of reflection.arrow_forward
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