교과서 질문
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 Calc14th EditionUniversity PhysicsISBN: 9780321973610
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Table of contents
- Ch 01: Units, Physical Quantities & Vectors41
- Ch 02: Motion Along a Straight Line67
- Ch 03: Motion in Two or Three Dimensions47
- Ch 04: Newton's Laws of Motion23
- Ch 05: Applying Newton's Laws59
- Ch 06: Work & Kinetic Energy14
- Ch 07: Potential Energy & Conservation8
- Ch 08: Momentum, Impulse, and Collisions18
- Ch 09: Rotation of Rigid Bodies42
- Ch 10: Dynamics of Rotational Motion48
- Ch 11: Equilibrium & Elasticity27
- Ch 12: Fluid Mechanics31
- Ch 13: Gravitation35
- Ch 14: Periodic Motion32
- Ch 15: Mechanical Waves25
- Ch 16: Sound & Hearing32
- Ch 17: Temperature and Heat36
- Ch 18: Thermal Properties of Matter38
- Ch 19: The First Law of Thermodynamics33
- Ch 20: The Second Law of Thermodynamics22
- Ch 21: Electric Charge and Electric Field36
- Ch 22: Gauss' Law24
- Ch 23: Electric Potential31
- Ch 24: Capacitance and Dielectrics18
- Ch 25: Current, Resistance, and EMF26
- Ch 26: Direct-Current Circuits30
- Ch 27: Magnetic Field and Magnetic Forces18
- Ch 28: Sources of Magnetic Field10
- Ch 29: Electromagnetic Induction28
- Ch 30: Inductance17
- Ch 31: Alternating Current21
- Ch 32: Electromagnetic Waves1
- Ch 33: The Nature and Propagation of Light20
- Ch 34: Geometric Optics34
- Ch 35: Interference19
- Ch 36: Diffraction25
- Ch 37: Special Relativity20
- Ch 38: Photons: Light Waves Behaving as Particles15
- Ch 39: Particles Behaving as Waves26
- Ch 40: Quantum Mechanics I: Wave Functions21
- Ch 41: Quantum Mechanics II: Atomic Structure25
- Ch 42: Molecules and Condensed Matter18
- Ch 43: Nuclear Physics16
- Ch 44: Particle Physics and Cosmology23
16장, 문제 26c
The fundamental frequency of a pipe that is open at both ends is 524 Hz. the frequency of the new fundamental.
검증된 단계별 안내1
Understand that a pipe open at both ends supports standing waves with nodes at both ends. The fundamental frequency is the lowest frequency at which the pipe resonates.
The fundamental frequency for a pipe open at both ends is given by the formula: , where is the speed of sound in air and is the length of the pipe.
Given the fundamental frequency is 524 Hz, if the length of the pipe changes, the new fundamental frequency can be calculated using the same formula, adjusting for the new length.
If the length of the pipe is halved, the new fundamental frequency will be doubled, because the frequency is inversely proportional to the length of the pipe.
Calculate the new fundamental frequency using the formula: , substituting the new length of the pipe.
비슷한 문제에 대한 검증된 영상 답변:
이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.
영상 길이:
4m도움이 되었나요?
주요 개념
질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.
Fundamental Frequency
The fundamental frequency is the lowest frequency at which a system oscillates. In the context of a pipe open at both ends, it is determined by the speed of sound in air and the length of the pipe. The fundamental frequency is the first harmonic, and it sets the base for other harmonics or overtones.
추천 영상:
가이드 코스
05:08
Circumference, Period, and Frequency in UCM
Open Pipe Harmonics
An open pipe supports standing waves with nodes at both ends. The fundamental frequency corresponds to the first harmonic, where the length of the pipe is half the wavelength of the sound wave. Higher harmonics are integer multiples of the fundamental frequency, allowing the pipe to produce a series of overtones.
추천 영상:
가이드 코스
07:52Simple Harmonic Motion of Pendulums
Speed of Sound
The speed of sound in air is a crucial factor in determining the frequency of sound waves in a pipe. It is affected by factors such as temperature and pressure. In calculations involving pipes, the speed of sound is used to relate the wavelength of the sound wave to its frequency, using the formula v = fλ, where v is the speed of sound, f is the frequency, and λ is the wavelength.
추천 영상:
가이드 코스
05:17Standing Sound Waves
관련 실천
교과서 질문
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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교과서 질문
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?
<Image>
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교과서 질문
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.
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교과서 질문
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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1
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교과서 질문
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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