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

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Chapter
Section
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 Solutions

Physics for Scientists and Engineers, Technology Update (No access codes included)
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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