Science
PhysicsPhysics for Scientists and Engineers, Technology Update (No access codes included)Suppose a flutist plays a 523-Hz C note with first harmonic displacement amplitude A 1 = 100 nm. From Figure 17.21b read, by proportion, the displacement amplitudes of harmonics 2 through 7. Take these as the values, A 2 through A 7 in the Fourier analysis of the sound and assume B 1 = B 2 = ⋯ = B 7 = 0 . Construct a graph of the waveform of the sound. Your waveform will not look exactly like the flute waveform in Figure 17.20b because you simplify by ignoring cosine terms; nevertheless, it produces the same sensation to human hearing.

Suppose a flutist plays a 523-Hz C note with first harmonic displacement amplitude A 1 = 100 nm. From Figure 17.21b read, by proportion, the displacement amplitudes of harmonics 2 through 7. Take these as the values, A 2 through A 7 in the Fourier analysis of the sound and assume B 1 = B 2 = ⋯ = B 7 = 0 . Construct a graph of the waveform of the sound. Your waveform will not look exactly like the flute waveform in Figure 17.20b because you simplify by ignoring cosine terms; nevertheless, it produces the same sensation to human hearing.

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Physics for Scientists and Enginee...

9th Edition
Raymond A. Serway + 1 other
Publisher: Cengage Learning
ISBN: 9781305116399
BuyFind

Physics for Scientists and Enginee...

9th Edition
Raymond A. Serway + 1 other
Publisher: Cengage Learning
ISBN: 9781305116399

Solutions

Chapter
Section
Problem 18.1QQ
Problem 18.2QQ
Problem 18.3QQ
Problem 18.4QQ
Problem 18.5QQ
Problem 18.1OQ
Problem 18.2OQ
Problem 18.3OQ
Problem 18.4OQ
Problem 18.5OQ
Problem 18.6OQ
Problem 18.7OQ
Problem 18.8OQ
Problem 18.9OQ
Problem 18.10OQ
Problem 18.11OQ
Problem 18.12OQ
Problem 18.1CQ
Problem 18.2CQ
Problem 18.3CQ
Problem 18.4CQ
Problem 18.5CQ
Problem 18.6CQ
Problem 18.7CQ
Problem 18.8CQ
Problem 18.9CQ
Problem 18.1P
Problem 18.2P
Problem 18.3P
Problem 18.4P
Problem 18.5P
Problem 18.6P
Problem 18.7P
Problem 18.8P
Problem 18.9P
Problem 18.10P
Problem 18.11P
Problem 18.12P
Problem 18.13P
Problem 18.14P
Problem 18.15P
Problem 18.16P
Problem 18.17P
Problem 18.18P
Problem 18.19P
Problem 18.20P
Problem 18.21P
Problem 18.22P
Problem 18.23P
Problem 18.24P
Problem 18.25P
Problem 18.26P
Problem 18.27P
Problem 18.28P
Problem 18.29P
Problem 18.30P
Problem 18.31P
Problem 18.32P
Problem 18.33P
Problem 18.34P
Problem 18.35P
Problem 18.36P
Problem 18.37P
Problem 18.38P
Problem 18.39P
Problem 18.40P
Problem 18.41P
Problem 18.42P
Problem 18.43P
Problem 18.44P
Problem 18.45P
Problem 18.46P
Problem 18.47P
Problem 18.48P
Problem 18.49P
Problem 18.50P
Problem 18.51P
Problem 18.52P
Problem 18.53P
Problem 18.54P
Problem 18.55P
Problem 18.56P
Problem 18.57P
Problem 18.58P
Problem 18.59P
Problem 18.60P
Problem 18.61P
Problem 18.62AP
Problem 18.63AP
Problem 18.64AP
Problem 18.65AP
Problem 18.66AP
Problem 18.67AP
Problem 18.68AP
Problem 18.69AP
Problem 18.70AP
Problem 18.71AP
Problem 18.72AP
Problem 18.73AP
Problem 18.74AP
Problem 18.75AP
Problem 18.76AP
Problem 18.77AP
Problem 18.78AP
Problem 18.79AP
Problem 18.80AP
Problem 18.81AP
Problem 18.82AP
Problem 18.83AP
Problem 18.84AP
Problem 18.85AP
Problem 18.86AP
Problem 18.87CP
Problem 18.88CP
Chapter 18, Problem 18.61P
Textbook Problem

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 B 1 = B 2 =   ⋯ = B 7 = 0 . Construct a graph of the waveform of the sound. Your waveform will not look exactly like the flute waveform in Figure 17.20b because you simplify by ignoring cosine terms; nevertheless, it produces the same sensation to human hearing.

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Chapter 18,
Problem 18.60P
Chapter 18,
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Chapter 18 Solutions

Physics for Scientists and Engineers, Technology Update (No access codes included)
Ch. 18 - Two pulses move in opposite directions on a string...Ch. 18 - Consider the waves in Figure 17.8 to be waves on a...Ch. 18 - When a standing wave is set up on a string fixed...Ch. 18 - A pipe open at both ends resonates at a...Ch. 18 - Balboa Park in San Diego has an outdoor organ....Ch. 18 - In figure OQ18.1 (page 566), a sound wave of...Ch. 18 - A string of length L, mass pet unit length , and...Ch. 18 - In Example 18.1, we investigated an oscillator at...Ch. 18 - A series of pulses, each of amplitude 0.1 m, is...Ch. 18 - A flute has a length of 58.0 cm. If the speed of...
Ch. 18 - When two tuning forks are sounded at the same...Ch. 18 - A tuning fork is known to vibrate with frequency...Ch. 18 - An archer shoots an arrow horizontally from the...Ch. 18 - As oppositely moving pulses of the same shape (one...Ch. 18 - A standing wave having three nodes is set up in a...Ch. 18 - Suppose all six equal-length strings of an...Ch. 18 - Assume two identical sinusoidal waves are moving...Ch. 18 - A crude model or the human throat is that of a...Ch. 18 - When two waves interfere constructively or...Ch. 18 - Explain how a musical instrument such as a piano...Ch. 18 - What limits the amplitude of motion of a real...Ch. 18 - A tuning fork by itself produces a faint sound....Ch. 18 - An airplane mechanic notices that the sound from a...Ch. 18 - Despite a reasonably steady hand, a person often...Ch. 18 - A soft-drink bottle resonates as air is blown...Ch. 18 - Does the phenomenon of wave interference apply...Ch. 18 - Two waves are traveling in the same direction...Ch. 18 - Two wave pulses A and B are moving in opposite...Ch. 18 - Two waves on one string are described by the wave...Ch. 18 - Two pulses of different amplitudes approach each...Ch. 18 - A tuning fork generates sound waves with a...Ch. 18 - The acoustical system shown in Figure OQ18.1 is...Ch. 18 - Two pulses traveling on the same string are...Ch. 18 - Two identical loudspeakers are placed on a wall...Ch. 18 - Two traveling sinusoidal waves are described by...Ch. 18 - Why is the following situation impossible? Two...Ch. 18 - Two sinusoidal waves on a string are defined by...Ch. 18 - Two identical sinusoidal waves with wavelengths of...Ch. 18 - Two identical loudspeakers 10.0 m apart are driven...Ch. 18 - Two waves simultaneously present on a long string...Ch. 18 - Two sinusoidal waves traveling in opposite...Ch. 18 - Verify by direct substitution that the wave...Ch. 18 - Two transverse sinusoidal waves combining in a...Ch. 18 - A standing wave is described by the wave function...Ch. 18 - Two identical loudspeakers are driven in phase by...Ch. 18 - A standing wave is established in a 120-cm-long...Ch. 18 - A string with a mass m = 8.00 g and a length L =...Ch. 18 - The 64.0-cm-long string of a guitar has a...Ch. 18 - The A string on a cello vibrates in its first...Ch. 18 - A taut string has a length of 2.60 m and is fixed...Ch. 18 - A certain vibrating string on a piano has a length...Ch. 18 - A string that is 30.0 cm long and has a mass per...Ch. 18 - In the arrangement shown in Figure P18.27, an...Ch. 18 - In the arrangement shown in Figure P17.14, an...Ch. 18 - Review. A sphere of mass M = 1.00 kg is supported...Ch. 18 - Review. A sphere of mass M is supported by a...Ch. 18 - A violin string has a length of 0.350 m and is...Ch. 18 - Review. A solid copper object hangs at the bottom...Ch. 18 - A standing-wave pattern is observed in a thin wire...Ch. 18 - The Bay of Fundy, Nova Scotia, has the highest...Ch. 18 - An earthquake can produce a seiche in a lake in...Ch. 18 - High-frequency sound can be used to produce...Ch. 18 - The windpipe of one typical whooping crane is 5.00...Ch. 18 - If a human ear canal can be thought of as...Ch. 18 - Calculate the length of a pipe that has a...Ch. 18 - The overall length of a piccolo is 32.0 cm. The...Ch. 18 - The fundamental frequency of an open organ pipe...Ch. 18 - The longest pipe on a certain organ is 4.88 m....Ch. 18 - An air column in a glass tube is open at one end...Ch. 18 - A tuning fork with a frequency of f = 512 Hz is...Ch. 18 - With a particular fingering, a flute produces a...Ch. 18 - A shower stall has dimensions 86.0 cm 86.0 cm ...Ch. 18 - A glass tube (open at both ends) of length L is...Ch. 18 - A tunnel under a river is 2.00 km long. (a) At...Ch. 18 - As shown in Figure P17.27, water is pumped into a...Ch. 18 - As shown in Figure P17.27, water is pumped into a...Ch. 18 - Two adjacent natural frequencies of an organ pipe...Ch. 18 - Why is the following situation impossible? A...Ch. 18 - A student uses an audio oscillator of adjustable...Ch. 18 - An aluminum rod is clamped one-fourth of the way...Ch. 18 - An aluminum rod 1.60 m long is held at its center....Ch. 18 - While attempting to tune the note C at 523 Hz, a...Ch. 18 - In certain ranges of a piano keyboard, more than...Ch. 18 - Review. Jane wails on a railroad platform while...Ch. 18 - Review. A student holds a tuning fork oscillating...Ch. 18 - An A-major chord consists of the notes called A,...Ch. 18 - Suppose a flutist plays a 523-Hz C note with first...Ch. 18 - A pipe open at both ends has a fundamental...Ch. 18 - A siring is 0.400 m long and has a mass per unit...Ch. 18 - Two strings are vibrating at the same frequency of...Ch. 18 - The ship in Figure P17.35 travels along a straight...Ch. 18 - A 2.00-m-long wire having a mass of 0.100 kg is...Ch. 18 - The fret closest to the bridge on a guitar is 21.4...Ch. 18 - A string fixed at both ends and having a mass of...Ch. 18 - A quartz watch contains a crystal oscillator in...Ch. 18 - Review. For the arrangement shown in Figure...Ch. 18 - A 0.010 0-kg wire, 2.00 m long, is fixed at both...Ch. 18 - Two speakers are driven by the same oscillator of...Ch. 18 - Review. Consider the apparatus shown in Figure...Ch. 18 - Review. The top end of a yo-yo string is held...Ch. 18 - On a marimba (Fig. P18.75), the wooden bar that...Ch. 18 - A nylon siring has mass 5.50 g and length L = 86.0...Ch. 18 - Two train whistles have identical frequencies of...Ch. 18 - Review. A loudspeaker at the front of a room and...Ch. 18 - Review. Consider the copper object hanging from...Ch. 18 - Two wires are welded together end to end. The...Ch. 18 - A string of linear density 1.60 g/m is stretched...Ch. 18 - A standing wave is set up in a string of variable...Ch. 18 - Two waves are described by the wave functions...Ch. 18 - A flute is designed so that it produces a...Ch. 18 - Review. A 12.0-kg object hangs in equilibrium from...Ch. 18 - Review. An object of mass m hangs in equilibrium...Ch. 18 - Review. Consider the apparatus shown in Figure...Ch. 18 - In Figures 17.22a and 17.22b, notice that the...

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