Domanda del libro di testo
The fundamental frequency of a pipe that is open at both ends is 524 Hz. If one end is now closed, find the wavelength
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Ch 16: Sound & Hearing
Young & Freedman Calc15th EditionUniversity PhysicsISBN: 9780135159552
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TOC.tableOfContents
- Ch 01: Units, Physical Quantities & Vectors37
- Ch 02: Motion Along a Straight Line57
- Ch 03: Motion in Two or Three Dimensions45
- Ch 04: Newton's Laws of Motion23
- Ch 05: Applying Newton's Laws54
- Ch 06: Work & Kinetic Energy11
- Ch 07: Potential Energy & Conservation6
- Ch 08: Momentum, Impulse, and Collisions15
- Ch 09: Rotation of Rigid Bodies37
- Ch 10: Dynamics of Rotational Motion44
- Ch 11: Equilibrium & Elasticity27
- Ch 12: Fluid Mechanics27
- Ch 13: Gravitation34
- Ch 14: Periodic Motion26
- Ch 15: Mechanical Waves22
- Ch 16: Sound & Hearing28
- Ch 17: Temperature and Heat28
- Ch 18: Thermal Properties of Matter35
- Ch 19: The First Law of Thermodynamics29
- Ch 20: The Second Law of Thermodynamics18
- Ch 21: Electric Charge and Electric Field28
- Ch 22: Gauss' Law21
- Ch 23: Electric Potential31
- Ch 24: Capacitance and Dielectrics18
- Ch 25: Current, Resistance, and EMF24
- Ch 26: Direct-Current Circuits29
- Ch 27: Magnetic Field and Magnetic Forces16
- Ch 28: Sources of Magnetic Field10
- Ch 29: Electromagnetic Induction22
- Ch 30: Inductance14
- Ch 31: Alternating Current20
- Ch 33: The Nature and Propagation of Light17
- Ch 34: Geometric Optics29
- Ch 35: Interference13
- Ch 36: Diffraction19
- Ch 37: Special Relativity19
- Ch 38: Photons: Light Waves Behaving as Particles12
- Ch 39: Particles Behaving as Waves25
- Ch 40: Quantum Mechanics I: Wave Functions20
- Ch 41: Quantum Mechanics II: Atomic Structure21
- Ch 42: Molecules and Condensed Matter17
- Ch 43: Nuclear Physics13
- Ch 44: Particle Physics and Cosmology17
Young & Freedman Calc15th EditionUniversity PhysicsISBN: 9780135159552Non è quello che usi tu?Cambia libro di testo
Capitolo 16, Problema 32a
Small speakers A and B are driven in phase at 725 Hz by the same audio oscillator. Both speakers start out 4.50 m from the listener, but speaker A is slowly moved away (Fig. E16.34). At what distance d will the sound from the speakers first produce destructive interference at the listener's location?
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Guida verificata passo dopo passo1
Understand that destructive interference occurs when the path difference between two waves is an odd multiple of half wavelengths, i.e., (2n+1)λ/2, where n is an integer.
Calculate the wavelength (λ) of the sound using the formula λ = v/f, where v is the speed of sound in air (approximately 343 m/s) and f is the frequency of the sound (725 Hz).
Determine the initial path difference between the two speakers and the listener. Initially, both speakers are 4.50 m from the listener, so the path difference is zero.
As speaker A is moved away, calculate the new path difference, which is the difference in distance from speaker A to the listener and speaker B to the listener. This is given by (x + 3.20 m) - 3.20 m = x.
Set the path difference x equal to the first instance of destructive interference, which is λ/2, and solve for x to find the distance d that speaker A must be moved to achieve this condition.
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Wave Interference
Wave interference occurs when two or more waves overlap and combine to form a new wave pattern. In this scenario, the sound waves from speakers A and B interfere with each other. Destructive interference happens when the waves are out of phase, leading to a reduction in amplitude, which can result in silence or a decrease in sound intensity at the listener's location.
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Percorso guidato
03:47
Wave Interference & Superposition
Path Difference
Path difference refers to the difference in the distance traveled by two waves from their sources to a common point. For destructive interference to occur, the path difference must be an odd multiple of half the wavelength (λ/2, 3λ/2, etc.). This condition ensures that the waves arrive out of phase, canceling each other out at the listener's position.
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08:20Mean Free Path
Frequency and Wavelength Relationship
The frequency of a wave is related to its wavelength and the speed of sound in the medium by the equation v = fλ, where v is the speed of sound, f is the frequency, and λ is the wavelength. Given the frequency of 725 Hz and assuming the speed of sound in air is approximately 343 m/s, the wavelength can be calculated, which is crucial for determining the path difference needed for destructive interference.
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05:08Circumference, Period, and Frequency in UCM
Pratica correlata
Domanda del libro di testo
Small speakers A and B are driven in phase at 725 Hz by the same audio oscillator. Both speakers start out 4.50 m from the listener, but speaker A is slowly moved away (Fig. E16.34)<IMAGE>. If A is moved even farther away than in part (a), at what distance d will the speakers next produce destructive interference at the listener’s location?
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Domanda del libro di testo
The fundamental frequency of a pipe that is open at both ends is 524 Hz. How long is this pipe? If one end is now closed
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Domanda del libro di testo
Two loudspeakers, A and B (Fig. E16.35), are driven by the same amplifier and emit sinusoidal waves in phase. Speaker B is 2.00 m to the right of speaker A. Consider point Q along the extension of the line connecting the speakers, 1.00 m to the right of speaker B. Both speakers emit sound waves that travel directly from the speaker to point Q. What is the lowest frequency for which constructive interference occurs at point Q?
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Domanda del libro di testo
Two loudspeakers, A and B (Fig. E16.35), are driven by the same amplifier and emit sinusoidal waves in phase. Speaker B is 2.00 m to the right of speaker A. Consider point Q along the extension of the line connecting the speakers, 1.00 m to the right of speaker B. Both speakers emit sound waves that travel directly from the speaker to point Q. What is the lowest frequency for which destructive interference occurs at point Q?
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Domanda del libro di testo
The fundamental frequency of a pipe that is open at both ends is 524 Hz. the frequency of the new fundamental.
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