Domanda del libro di testo
A 572-Hz longitudinal wave in air has a speed of 345 m/s. How much time is required for the phase to change by 90° at a given point in space?
84
views
Ch. 15 - Wave Motion
Giancoli Douglas5th editionPhysics for Scientists and EngineersISBN: 9780137488179
Non è quello che usi tu?Cambia libro di testoScegli un libro di testo diverso
TOC.tableOfContents
- Ch. 01 - Introduction, Measurement, Estimating10
- Ch. 02 - Describing Motion: Kinematics in One Dimension30
- Ch. 03 - Kinematics in Two or Three Dimensions; Vectors15
- Ch. 04 - Dynamics: Newton's Laws of Motion16
- Ch. 05 - Using Newton's Laws: Friction, Circular Motion, Drag Forces22
- Ch. 06 - Gravitation and Newton's Synthesis10
- Ch. 07 - Work and Energy21
- Ch. 08 - Conservation of Energy33
- Ch. 09 - Linear Momentum26
- Ch. 10 - Rotational Motion41
- Ch. 11 - Angular Momentum; General Rotation27
- Ch. 12 - Static Equilibrium; Elasticity and Fracture27
- Ch. 13 - Fluids28
- Ch. 14 - Oscillations14
- Ch. 15 - Wave Motion35
- Ch. 16 - Sound5
- Ch. 17 - Temperature, Thermal Expansion, and the Ideal Gas Law40
- Ch. 18 - Kinetic Theory of Gases18
- Ch. 19 - Heat and the First Law of Thermodynamics31
- Ch. 20 - Second Law of Thermodynamics32
- Ch. 21 - Electric Charge and Electric Field7
- Ch. 23 - Electric Potential20
- Ch. 24 - Capacitance, Dielectrics, Electric Energy, Storage15
- Ch. 25 - Electric Current and Resistance32
- Ch. 26 - DC Circuits22
- Ch. 27 - Magnetism21
- Ch. 28 - Sources of Magnetic Field24
- Ch. 29 - Electromagnetic Induction and Faraday's Law21
- Ch. 30 - Inductance, Electromagnetic Oscillations, and AC Circuits42
- Ch. 31 - Maxwell's Equations and Electromagnetic Waves25
- Ch. 32 - Light: Reflection and Refraction42
- Ch. 33 - Lenses and Optical Instruments21
- Ch. 34 - The Wave Nature of Light: Interference and Polarization26
- Ch. 35 - Diffraction24
- Ch. 36 - The Special Theory of Relativity29
- Ch. 38 - Quantum Mechanics1
- Ch. 40 - Molecules and Solids6
- Ch. 43 - Elementary Particles3
- Ch. 44 - Astrophysics and Cosmology9
Giancoli Douglas5th editionPhysics for Scientists and EngineersISBN: 9780137488179Non è quello che usi tu?Cambia libro di testo
Capitolo 15, Problema 29c
A 572-Hz longitudinal wave in air has a speed of 345 m/s. At a particular instant, what is the phase difference (in degrees) between two points 4.4 cm apart?
Guida verificata passo dopo passo1
Determine the wavelength of the wave using the formula: , where is the speed of the wave (345 m/s) and is the frequency (572 Hz).
Convert the distance between the two points (4.4 cm) into meters by dividing by 100, since 1 cm = 0.01 m.
Calculate the fraction of the wavelength that corresponds to the distance between the two points using the formula: , where is the distance (in meters) and is the wavelength.
Convert the fraction of the wavelength into a phase difference in degrees using the formula: , since one full wavelength corresponds to 360 degrees.
Express the phase difference as the final result, ensuring it is within the range of 0 to 360 degrees (if necessary, subtract multiples of 360 to bring it into this range).
Risposta video verificata per un problema simile:
Questa soluzione video è stata consigliata dai nostri tutor come utile per risolvere questo problema.
Durata del video:
3mConcetti chiave
Ecco i concetti essenziali che devi comprendere per rispondere correttamente alla domanda.
Wave Speed
Wave speed is the distance a wave travels per unit of time. In this case, the speed of the longitudinal wave in air is given as 345 m/s. This speed is crucial for determining how quickly the wave propagates through the medium and is essential for calculating the phase difference between two points.
Video consigliato:
Percorso guidato
07:19
Intro to Waves and Wave Speed
Wavelength
Wavelength is the distance between successive points of similar phase in a wave, such as crest to crest or trough to trough. It can be calculated using the formula λ = v/f, where v is the wave speed and f is the frequency. For the given wave, the wavelength can be determined, which is necessary for finding the phase difference over a specified distance.
Video consigliato:
Percorso guidato
05:42Unknown Wavelength of Laser through Double Slit
Phase Difference
Phase difference refers to the difference in the phase of two points in a wave, typically measured in degrees or radians. It indicates how far one point is ahead or behind another in the wave cycle. The phase difference can be calculated using the formula Δφ = (2π/λ) * Δx, where Δx is the distance between the two points, allowing us to find the phase difference for the specified distance of 4.4 cm.
Video consigliato:
Percorso guidato
08:59Phase Constant of a Wave Function
Pratica correlata
Domanda del libro di testo
A transverse wave with a frequency of 220 Hz and a wavelength of 10.0 cm is traveling along a cord. The maximum speed of particles on the cord is 0.10 the wave speed. What is the amplitude of the wave?
1672
views
Domanda del libro di testo
A 572-Hz longitudinal wave in air has a speed of 345 m/s. What is the wavelength?
1457
views
Domanda del libro di testo
Write the equation for the wave in Problem 29 traveling to the right, if its amplitude is 0.020 cm, and D = - 0.020 cm, at t = 0 and x = 0.
1343
views
Domanda del libro di testo
Suppose two linear waves of equal amplitude and frequency have a phase difference ϕ as they travel in the same medium. They can be represented by: D₁ = A sin (kx - ωt); D₂ = A sin ( kx - ωt + ϕ). What is the amplitude of this resultant wave? Is the wave purely sinusoidal, or not?
1169
views
Domanda del libro di testo
A transverse wave on a cord is given by D(x,t) = 0.12 sin (3.0x - 15.0t), where D and x are in meters and t is in seconds. At t = 0.20s, what are the displacement, velocity, and acceleration of a point on the cord where x = 0.60 m?
1344
views