Physics for Scientists and Engineers
10th Edition
ISBN: 9781337553278
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 17, Problem 33P
Suppose a flutist plays a 523-Hz C note with first harmonic displacement amplitude A1 = 100 nm. From Figure 17.21b read, by proportion, the displacement amplitudes of harmonics 2 through 7. Take these as the values, A2 through A7 in the Fourier analysis of the sound and assume
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Suppose a flutist plays a 523-Hz C note with first harmonic displacement amplitude A1 = 100 nm. From as shown read, by proportion, the displacement amplitudes of harmonics 2 through 7. Take these as the values A2 through A7 in the Fourier analysis of the sound and assume B1 = B2 = ... = B7 = 0. Construct a graph of the waveform of the sound. Your waveform will not look exactly like the flute waveform as shown because you simplify by ignoring cosine terms; nevertheless, it produces the same sensation to human hearing.
Item 9
Learning Goal:
To learn the properties of logarithms and how to manipulate them when
solving sound problems.
The intensity of sound is the power of the sound waves divided by the area
on which they are incident. Intensity is measured in watts per square meter,
or W/m².
The human ear can detect a remarkable range of sound intensities. The
quietest sound that we can hear has an intensity of 10-¹2 W/m², and we
begin to feel pain when the intensity reaches 1 W/m². Since the
intensities that matter to people in everyday life cover a range of 12 orders
of magnitude, intensities are usually converted to a logarithmic scale called
the sound intensity level 3, which is measured in decibels (dB). For a given
sound intensity I, B is found from the equation
ß = (10 dB) log (1).
where Io = 1.0 × 10-¹2 W/m².
Part A
What is the value of log(1,000,000)?
Express your answer as an integer.
► View Available Hint(s)
The logarithm of x, written log(x), tells you the power to which you would raise 10…
Item 9
Learning Goal:
To learn the properties of logarithms and how to manipulate them when
solving sound problems.
The intensity of sound is the power of the sound waves divided by the area
on which they are incident. Intensity is measured in watts per square meter,
or W/m².
The human ear can detect a remarkable range of sound intensities. The
quietest sound that we can hear has an intensity of 10-12 W/m², and we
begin to feel pain when the intensity reaches 1 W/m². Since the
intensities
matter people in everyday life cover a range of 12 orders
of magnitude, intensities are usually converted to a logarithmic scale called
the sound intensity level 3, which is measured in decibels (dB). For a given
sound intensity I, B is found from the equation
ß = (10 dB) log (1),
where Io
= 1.0 × 10-¹2 W/m².
▼
The logarithm of x, written log(x), tells you the power to which you would raise 10 to get æ. So, if y = log(x), then x = 10³. It is easy to take the logarithm of a number such as
10², because…
Chapter 17 Solutions
Physics for Scientists and Engineers
Ch. 17.1 - Prob. 17.1QQCh. 17.2 - Consider the waves in Figure 17.8 to be waves on a...Ch. 17.4 - When a standing wave is set up on a string fixed...Ch. 17.6 - Prob. 17.4QQCh. 17.6 - Balboa Park in San Diego has an outdoor organ....Ch. 17 - Two waves on one string are described by the wave...Ch. 17 - Two pulses of different amplitudes approach each...Ch. 17 - Two wave pulses A and B are moving in opposite...Ch. 17 - Why is the following situation impossible? Two...Ch. 17 - Two pulses traveling on the same string are...
Ch. 17 - Two identical loudspeakers 10.0 m apart are driven...Ch. 17 - Two sinusoidal waves on a string are defined by...Ch. 17 - Verify by direct substitution that the wave...Ch. 17 - Prob. 9PCh. 17 - A standing wave is described by the wave function...Ch. 17 - Prob. 11PCh. 17 - A taut string has a length of 2.60 m and is fixed...Ch. 17 - A string that is 30.0 cm long and has a mass per...Ch. 17 - In the arrangement shown in Figure P17.14, an...Ch. 17 - Review. A sphere of mass M = 1.00 kg is supported...Ch. 17 - Review. A sphere of mass M is supported by a...Ch. 17 - Prob. 17PCh. 17 - Review. A solid copper object hangs at the bottom...Ch. 17 - The Bay of Fundy, Nova Scotia, has the highest...Ch. 17 - Prob. 20PCh. 17 - The fundamental frequency of an open organ pipe...Ch. 17 - Ever since seeing Figure 16.22 in the previous...Ch. 17 - An air column in a glass tube is open at one end...Ch. 17 - A shower stall has dimensions 86.0 cm 86.0 cm ...Ch. 17 - Prob. 25PCh. 17 - Prob. 26PCh. 17 - As shown in Figure P17.27, water is pumped into a...Ch. 17 - As shown in Figure P17.27, water is pumped into a...Ch. 17 - Prob. 29PCh. 17 - Why is the following situation impossible? A...Ch. 17 - Review. A student holds a tuning fork oscillating...Ch. 17 - Prob. 32PCh. 17 - Suppose a flutist plays a 523-Hz C note with first...Ch. 17 - Two strings are vibrating at the same frequency of...Ch. 17 - Prob. 35APCh. 17 - A 2.00-m-long wire having a mass of 0.100 kg is...Ch. 17 - Prob. 37APCh. 17 - You are working as an assistant to a landscape...Ch. 17 - Review. Consider the apparatus shown in Figure...Ch. 17 - Review. For the arrangement shown in Figure...Ch. 17 - Review. A loudspeaker at the front of a room and...Ch. 17 - Two speakers are driven by the same oscillator of...Ch. 17 - A standing wave is set up in a string of variable...Ch. 17 - Review. The top end of a yo-yo string is held...Ch. 17 - Prob. 45APCh. 17 - Prob. 46APCh. 17 - Review. A 12.0-kg object hangs in equilibrium from...Ch. 17 - Review. An object of mass m hangs in equilibrium...Ch. 17 - Two waves are described by the wave functions...Ch. 17 - Prob. 50CP
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