Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN: 9781133939146
Author: Katz, Debora M.
Publisher: Cengage Learning
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Chapter 17, Problem 48PQ
The speaker system at an open-air rock concert forms a ring around the entire circular stage and delivers 50,000 W of power output. Assume the sound
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A sound wave generated by a tuning fork with some particular frequency is traveling in a room through the air (consider air to be nitrogen gas). The wave then enters a room with the same temperature, but filled with lighter helium gas. ( Mnitrogen=7 Mhelium ).
a) Consider the wave properties frequency, wave speed, and wavelength. For each of the three, determine if it is
i. Larger in the helium room
ii. Larger in the nitrogen room
iii. The same in both rooms
iv. Not enough information to tell
b) For each of the three properties, you must choose one of the four answers, and justify your answer for each with a brief sentence or two.
I. Frequency
II. Wave Speed
III. Wavelength
At a rock concert, a dB meter registered 132 dB
when placed 2.5 m in front of a loudspeaker on
the stage. The intensity of the reference level
required to determine the sound level is
1.0 x 10-¹2 W/m².
Part A
What was the power output of the speaker, assuming uniform spherical spreading of the sound and
neglecting absorption in the air?
Express your answer to two significant figures and include the appropriate units.
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PA
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How far away would the sound level be 87 dB 7
Express your answer to two significant figures and include the appropriate units.
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Review I Constants
?
The Weber-Fechner law describes how human beings perceive differences. Suppose, for example, that a person first hears a tone with a frequency of 400 hertz (cycles per second). He is then tested with higher tones until he can hear the difference. The ratio between these values describes how well this person can hear differences. a. Suppose the next tone he can distinguish has a frequency of 404 hertz. What is the ratio? b. According to the Weber-Fechner law, the next higher tone will be greater than 404 by the same ratio. Find this tone. c. Write the discrete-time dynamical system for this person. d. Suppose the experiment is repeated on a musician, and she manages to distinguish 400.5 hertz from 400 hertz. What is the fifth tone she can distinguish?
Chapter 17 Solutions
Physics for Scientists and Engineers: Foundations and Connections
Ch. 17.2 - As weve seen before, terms used in physics often...Ch. 17.2 - A graph of a pulses profile and a...Ch. 17.3 - Prob. 17.3CECh. 17.5 - Prob. 17.4CECh. 17.5 - The bulk modulus of water is 2.2 109 Pa (Table...Ch. 17.6 - Prob. 17.6CECh. 17 - A dog swims from one end of a pool to the opposite...Ch. 17 - Prob. 2PQCh. 17 - Prob. 3PQCh. 17 - Prob. 4PQ
Ch. 17 - Prob. 5PQCh. 17 - Prob. 6PQCh. 17 - Prob. 7PQCh. 17 - Prob. 8PQCh. 17 - A sinusoidal traveling wave is generated on a...Ch. 17 - Prob. 10PQCh. 17 - Prob. 11PQCh. 17 - The equation of a harmonic wave propagating along...Ch. 17 - Prob. 13PQCh. 17 - Prob. 14PQCh. 17 - Prob. 15PQCh. 17 - A harmonic transverse wave function is given by...Ch. 17 - Prob. 17PQCh. 17 - Prob. 18PQCh. 17 - Prob. 19PQCh. 17 - Prob. 20PQCh. 17 - Prob. 21PQCh. 17 - Prob. 22PQCh. 17 - A wave on a string with linear mass density 5.00 ...Ch. 17 - A traveling wave on a thin wire is given by the...Ch. 17 - Prob. 25PQCh. 17 - Prob. 26PQCh. 17 - Prob. 27PQCh. 17 - Prob. 28PQCh. 17 - Prob. 29PQCh. 17 - Prob. 30PQCh. 17 - Prob. 31PQCh. 17 - Problems 32 and 33 are paired. N Seismic waves...Ch. 17 - Prob. 33PQCh. 17 - Prob. 34PQCh. 17 - Prob. 35PQCh. 17 - Prob. 36PQCh. 17 - Prob. 37PQCh. 17 - Prob. 38PQCh. 17 - Prob. 39PQCh. 17 - Prob. 40PQCh. 17 - Prob. 41PQCh. 17 - Prob. 42PQCh. 17 - Prob. 43PQCh. 17 - Prob. 44PQCh. 17 - Prob. 45PQCh. 17 - What is the sound level of a sound wave with...Ch. 17 - Prob. 47PQCh. 17 - The speaker system at an open-air rock concert...Ch. 17 - Prob. 49PQCh. 17 - Prob. 50PQCh. 17 - Prob. 51PQCh. 17 - Prob. 52PQCh. 17 - Prob. 53PQCh. 17 - Using the concept of diffraction, discuss how the...Ch. 17 - Prob. 55PQCh. 17 - Prob. 56PQCh. 17 - An ambulance traveling eastbound at 140.0 km/h...Ch. 17 - Prob. 58PQCh. 17 - Prob. 59PQCh. 17 - Prob. 60PQCh. 17 - Prob. 61PQCh. 17 - In Problem 61, a. Sketch an image of the wave...Ch. 17 - Prob. 63PQCh. 17 - Prob. 64PQCh. 17 - Prob. 65PQCh. 17 - Prob. 66PQCh. 17 - Prob. 67PQCh. 17 - Prob. 68PQCh. 17 - Prob. 69PQCh. 17 - Prob. 70PQCh. 17 - A block of mass m = 5.00 kg is suspended from a...Ch. 17 - A The equation of a harmonic wave propagating...Ch. 17 - Prob. 73PQCh. 17 - Prob. 74PQCh. 17 - Prob. 75PQCh. 17 - Prob. 76PQCh. 17 - A siren emits a sound of frequency 1.44103 Hz when...Ch. 17 - Female Aedes aegypti mosquitoes emit a buzz at...Ch. 17 - A careless child accidentally drops a tuning fork...Ch. 17 - Prob. 80PQCh. 17 - A wire with a tapered cross-sectional area is...
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- (a) What is the speed of sound in a medium where a 100-kHz frequency produces a 5.96-cm wavelength? (b) Which substance in Table 17.1 is this likely to be?arrow_forwardYour ear is capable of differentiating sounds that arrive at each ear just 0.34 ms apart, which is useful in determining where low frequency sound is originating from. (a) Suppose a low-frequency sound source is placed to the right of a person, whose ears are approximately 18 cm apart, and the speed of sound generated is 340 m/s. How long is the interval between when the sound arrives at the right ear and the sound arrives at the left ear? (b) Assume the same person was scuba diving and a low-frequency sound source was to the right of the scuba diver. How long is the interval between when the sound arrives at the right ear and the sound arrives at the left ear, if the speed of sound in water is 1500 m/s? (c) What is significant about the time interval of the two situations?arrow_forwardA 4.0-m-long pipe, open at one end and closed at one end, is in a room where the temperature is T=22C . A speaker capable of producing variable frequencies is placed at the open end and is used to cause the tube to resonate. (a) What is the wavelength and the frequency of the fundamental frequency? (b) What is the frequency and wavelength of the first overtone?arrow_forward
- (a) At an air show a jet flies directly toward the stands at a speed of 1200 km/h, emitting a frequency of 3500 Hz, on a day when the speed of sound is 342 m/s. What frequency is received by the observers? (b) What frequency do they receive as the plane flies directly away from them?arrow_forward(a) If a submarine’s sonar can measure echo times with a precision of 0.0100 s, what is the smallest difference in distances it can detect? (Assume that the submarine is in the ocean, not in fresh water.) (b) Discuss the limits this time resolution imposes on the ability of the sonar system to detect the size and shape of the object creating the echo.arrow_forwardA careless child accidentally drops a tuning fork vibrating at 450 Hz from a window of a high-rise building. How far below the window is the tuning fork when the child hears sound waves with frequency 425 Hz? Remember to account for the time required for the sound to reach the child.arrow_forward
- A 4.0-m-long pipe, open at both ends, is placed in a room where the temperature is T=25C . A speaker capable of producing variable frequencies is placed at the open end and is used to cause the tube to resonate. (a) What are the wavelength and the frequency of the fundamental frequency? (b) What are the frequency and wavelength of the first overtone?arrow_forwardConsider two waves y1(x,t) and y2(x,t) that are identical except for a phase shift propagating in the same medium. (a)What is the phase shift, in radians, if the amplitude of the resulting wave is 1.75 times the amplitude of the individual waves? (b) What is the phase shift in degrees? (c) What is the phase shift as a percentage of the individual wavelength?arrow_forwardQ#3:Why the noisepollution is considered a serious occupational health hazard.How can we prevent and control noise pollution in the workplace.What are the measurement units of noise? How can we measure the sound pressure level of the noise generated by a machine?arrow_forward
- Party hearing. As the number of people at a party increases, you must raise your voice for a listener to hear you against the background noise of the other partygoers. However, once you reach the level of yelling, the only way you can be heard is if you move closer to your listener, into the listener's "personal space." Model the situation by replacing you with an isotropic point source of fixed power Pand replacing your listener with a point that absorbs part of your sound waves. These points are initially separated by r = 1.10 m. If the background noise increases by Aß = 4.50 dB, the sound level at your listener must also increase. What separation rț is then required? Number i Unitsarrow_forwardConsider a piston of radius 5 cm mounted on an infinite baffle. It is driven at a frequency 2500 Hz with normal piston velocity of 10 m/s. It radiates 3500 W of acoustic power into the air. The intensity at a distance of 6 m from the centre of the piston is? Select one: a. 15.47 W/m² ob. O C. d. a. Consider the piston in question 13. The pressure ampliture at a distance 4 m from the centre of the piston is? ob. 11.05 W/m² Select one: OC. 30.74 W/m² od. 222816.9 W/m² 170.0 Pa 0.23 Pa 756.3 Pa 113.3 Paarrow_forwardA traveling wave of the form y1 = 0.01 sin[100π t – (10 π/3) x] m is reflected off a rigid surface located at x = 3 m. The reflected wave undergoes a phase change ε.a. Write down the form of the reflected wave and calculate the value of εb. Write down an expression for the resultant wave, and describe its motionc. At what instant is the resultant wave always zero?d. At what locations between x = 0 and x = 3 is the resultant wave always zero?arrow_forward
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