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 23b
Standing sound waves are produced in a pipe that is 1.20 m long. For the fundamental and first two overtones, determine the locations along the pipe (measured from the left end) of the displacement nodes and the pressure nodes if the pipe is closed at the left end and open at the right end.
Guida verificata passo dopo passo1
Understand the concept of standing waves in a pipe closed at one end: In such a pipe, the closed end is a displacement node (where the air doesn't move) and a pressure antinode (where the pressure variation is maximum), while the open end is a displacement antinode and a pressure node.
Identify the pattern of nodes and antinodes for the fundamental frequency: For the fundamental frequency (first harmonic), the pipe length is one-quarter of the wavelength (λ/4). Therefore, the displacement node is at the closed end, and the displacement antinode is at the open end.
Calculate the wavelength for the fundamental frequency: Use the relationship between the speed of sound (v), frequency (f), and wavelength (λ): v = f * λ. For the fundamental frequency, the pipe length L = λ/4, so λ = 4L.
Determine the locations of nodes and antinodes for the first overtone: The first overtone (second harmonic) has a pattern where the pipe length is three-quarters of the wavelength (3λ/4). This means there will be one additional displacement node and antinode within the pipe.
Determine the locations of nodes and antinodes for the second overtone: The second overtone (third harmonic) has a pattern where the pipe length is five-quarters of the wavelength (5λ/4). This results in two additional displacement nodes and antinodes within the pipe.
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Standing Waves
Standing waves are formed by the interference of two waves traveling in opposite directions, resulting in a wave that appears to be stationary. In a pipe, these waves create nodes (points of no displacement) and antinodes (points of maximum displacement), crucial for understanding sound wave patterns in closed and open pipes.
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Percorso guidato
07:58
Intro to Transverse Standing Waves
Boundary Conditions in Pipes
Boundary conditions refer to the constraints at the ends of a pipe that affect wave behavior. In a pipe closed at one end and open at the other, the closed end is a displacement node (pressure antinode), while the open end is a displacement antinode (pressure node). These conditions determine the wave patterns and node locations.
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Percorso guidato
05:17Standing Sound Waves
Harmonics and Overtones
Harmonics are integral multiples of the fundamental frequency, and overtones are the frequencies above the fundamental. In a closed-open pipe, the fundamental frequency has one-quarter wavelength, while overtones have additional quarter wavelengths. Understanding harmonics helps locate nodes and antinodes for different frequencies.
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Percorso guidato
07:52Simple Harmonic Motion of Pendulums
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Domanda del libro di testo
Standing sound waves are produced in a pipe that is 1.20 m long. For the fundamental and first two overtones, determine the locations along the pipe (measured from the left end) of the displacement nodes and the pressure nodes if (a) the pipe is open at both ends
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Domanda del libro di testo
A baby's mouth is 30 cm from her father's ear and 1.50 m from her mother's ear. What is the difference between the sound intensity levels heard by the father and by the mother?
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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
For a person with normal hearing, the faintest sound that can be heard at a frequency of 400 Hz has a pressure amplitude of about 6.0 × 10-5 Pa. Calculate the intensity.
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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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