Answered: The equation of a plane sound wave is,…

The equation of a plane sound wave is, yy(xx,tt) = 6.0 × 10−6 sin(5.7xx − 1500tt). Find the frequency, the wavelength and the velocity of the wave.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter13: Mechanical Waves

Section: Chapter Questions

Problem 8P

See similar textbooks

Related questions

Q: The intensity of sound waves is proportional to the square of the frequency. True O False

A: Explanation - Intensity of sound wave is defined as the total power carried…

Q: Two sinusoidal waves travelling in the same direction with the same amplitude, wavelength, and…

A: When two sinusoidal waves travelling in the same direction having the same amplitude (A), wavelength…

Q: A traveling wave train has wavelength 0.50 m, speed 20 m/s. Find the wave frequency. A 10 Hz B 20 Hz…

A: Given, wavelength of the traveling wave, λ = 0.50 m wave speed, v = 20 ms

Q: Water waves in the sea are observed to have a wavelength of 300 m and a frequency of 0.07 Hz. The…

A: Given that, Wavelength (λ)= 300 m Frequency (f)= 0.07 Hz Let the velocity of the wave be v We know…

Q: traveling waves are described by the following equations, where all quantities are measured in SI…

A: Speed of wave : v=wk

Q: Calculate the speed of sound v in air using the formula v = √γRT/M, where γ = 1.4, R=8.315 J/mol·K ,…

A: The speed of sound is directly proportional to square root of temperature and inversely proportional…

Q: The average person can hear sound waves ranging in frequency from 20 Hz to 20 kHz. Determine the…

Q: A source emits sound with a characteristic frequency of 545 Hz. Calculate the observed frequency and…

Q: Four traveling waves are described by the following equations, where all quantities are measured in…

Q: A traveling wave is described by the equation (x,t)=1.2cm sin[2pi(x/2.7 + t/0.3)] where x is in…

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: A car moving at 30 m/s is leaving a school alarm that has a frequency of 500 Hz. If the speed of…

A: Given: The speed of the car is 30 m/s away from the school. The actual frequency of the larm is 500…

Q: Two sinusoidal waves travelling in the same direction with the same amplitude, wavelength, and…

A: Let us consider two waves travelling in the same direction, with the same amplitude, speed and…

Q: Two sinusoidal waves travelling in the same direction with the same amplitude, wavelength, and…

A: The general equation of the wave formed when two waves of the same equation yx,t=Asinkx-ωt undergone…

Q: If y(x,t) = 0.02 sin (30x – 400t) (SI units), the period of the wave is

A: Giveny(x,t)=0.02 sin (30x-400t)comparing this equation with standardwave equation , we havey(x,t)=A…

Q: Water waves in the sea are observed to have a wavelength of 300 m and a frequency of 0.07 Hz. The…

A: Wavelength of waves, λ=300m Frequency of waves, f=0.07Hz Let speed be v.

Q: Two waves travelling in the same direction are given by: y1(x,t) = 0.2 sin(3rx- 20t+T/2) and y2(x,t)…

A: Let 3πx-20t=θ. Given that:- y1=0.2sin(3πx-20t+π2)=0.2sin(π2+θ)y2=0.2sin(3πx-20t)=0.2sinθ

Q: A tuning fork has a frequency of 280 hertz, and the wavelength of 1.5 m, what is the velocity of the…

Q: The speed of sound waves in air is 343 m/sec. If the frequency of the waves is 450 Hz, what are the…

A: Given Speed of sound wave v = 343 m/s Frequency f = 450 Hz

Q: The time period of a sine wave is 1/50 sec .lts frequency is O 50 Hz O 40 Hz O 20 Hz O 30 Hz

Q: Write the equation of a wave, traveling along the +x axis with an amplitude of 0.1 m, a frequency of…

Q: The equation of a progressive wave is =மண் ணி y = 0.02 sin 2n L0.001 0.40 Here x and y are in meter…

Q: A spherical wave has the form yAr,t) = 0.002 cm sin 27207 The amplitude of the wave a distance r…

Q: The intensity of light at a distance x meters from a source is k modeled by the function R given by…

Q: A sinusoidal wave is described by the wave function y(x,t) = 0.04 sin(4x - 100nt + π/6), where x and…

Q: Four traveling waves are described by the following equations, where all quantities are measured in…

Q: A plane's engine emits a note of constant frequency 120 Hz. It is flying away from an observer at a…

Q: A traveling wave is described by the equation (x,t)=1.2cm sin[2pi(x/2.7 + t/0.3)] where x is in…

A: the equation for the wave is,

Q: The wave functions of two waves traveling in the same direction are given by y1(x,t) = 0.03sin(4x +…

Q: A train moving at a speed of 25.0 m/s sounds its whistle, which has a frequency of 4.00 x 10^2 Hz.…

A: Given Original frequency f = 4 × 102 Hz Speed of source vs = 25 m/s Speed of sound v = 345 m/s

Q: The wavefunction for a wave on a taut string of linear mass densityµ = 40 g/m is given by: y(x,t) =…

Q: What frequency of sound traveling in air at 20 oC has a wavelength of 0.50 m? The velocity of the…

Q: Two waves of amplitude 0.3 m and 0.5 m interfere constructively. The resultant intensity is O a.…

Q: If the frequency of a fixed source is 300Hz and the observer is moving with constant velocity…

Q: What is the frequency of a wave which has a period of57500 s?2.A.0.00001386 HzD.0.00001908…

Q: A supersonic airplane has a speed of 1.5 times the speed of sound. If an observer is 5 km from the…

A: A supersonic airplane has a speed of 1.5 times the speed of sound. If an observer is 5 km from the…

Q: A wave has velocity (240m / s) and wavelength (3.2), so the frequency of the wave is equal to: 768Hz…

A: Given: velocity of wave (v)=240m/s wavelength of wave(λ)=3.2mwe know that v=λf

Q: A sound wave propagating in air has a frequency of (7.86) kHz Calculate the change in wavelength…

A: Given: Frequency of the sound wave = 7.86 Khz Initial temperature = 27.35 0C Final temperature =…

Q: The wavefunction for a wave on a taut string of linear mass density µ = 40 g/m is given by: y(x,t) =…

A: Given: Equation of travelling wave: y(x, t) = 0.25 sin(ωt -πx + ϕ)

Q: The wavelength of a wave at 1 kHz in air where the speed of sound is 340 m/s is: 0.34 m…

A: Data Given , Frequency in air ( f ) = 1 kHz = 1000 Hz Speed of the sound ( V ) = 340 m/s We have…

Q: If the period of a wave is 10 s, what is the frequency of the wave? O 100 Hz O 10 Hz O 0.1 Hz O 1.0…

Q: Two waves of amplitude 0.3 m and 0.5 m interfere constructively. The resultant intensity is a.…

A: Amplitude of wave 1, Amplitude of wave 2,

Q: Consider a sound wave moving through the air modeled with the equation s(x, t) = 6.00 nm cos (54.93…

A: The distance which the air molecule required to move is . Thus, the phase difference be .

Q: A sound wave has a speed of 340 m/s and a wavelength of 15 m. What is the frequency of the sound…

Q: In deep water, the speed of surface waves is described by the relationship v = g/w, where w is the…

A: Given: The speed of the wave is. v=gω The period of the wave is 3 s.

Q: A periodic wave has a wavelength of 0.13 m and a speed of 92 m/s. What is the wave's frequency? O…

Q: If y = 0.02 sin (30 x − 400 t) (SI units), the frequency of the wave is what

A: wave equation y = 0.02 sin (30 x − 400 t)

Q: The equation of a plane sound wave is, y(x,t) = 6.0 × 10-6 sin(5.7x – 1500t). Find the frequency,…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: The displacement of a wave traveling in the positive xx-direction is…

Question

The equation of a plane sound wave is, yy(xx,tt) = 6.0 × 10−6 sin(5.7xx − 1500tt). Find the
frequency, the wavelength and the velocity of the wave.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

A sound wave in air has a pressure amplitude equal to 4.00 103 Pa. Calculate the displacement amplitude of the wave at a frequency of 10.0 kHz.
On a particular day the speed of sound in air is 340 m/s. If a plane flies at a speed of 680 m/s, is its Mach number (a) 1.5, (b) 2.0, (c) 2.5, or (d) 2.7?
Two sinusoidal waves are moving through a medium in the same direction, both having amplitudes of 3.00 cm, a wavelength of 5.20 m, and a period of 6.52 s, but one has a phase shift of an angle . What is the phase shift if the resultant wave has an amplitude of 5.00 cm? [Hint: Use the trig identity sinu+sinv=2sin(u+v2)cos(uv2)
Rank the waves represented by the following functions from the largest to the smallest according to (i) their amplitudes, (ii) their wavelengths, (iii) their frequencies, (iv) their periods, and (v) their speeds. If the values of a quantity are equal for two waves, show them as having equal rank. For all functions, x and y are in meters and t is in seconds. (a) y = 4 sin (3x 15t) (b) y = 6 cos (3x + 15t 2) (c) y = 8 sin (2x + 15t) (d) y = 8 cos (4x + 20t) (e) y = 7 sin (6x + 24t)
A sound wave traveling in air has a pressure amplitude of 0.5 Pa. What is the intensity of the wave?
The equation of a harmonic wave propagating along a stretched string is represented by y(x, t) = 4.0 sin (1.5x 45t), where x and y are in meters and the time t is in seconds. a. In what direction is the wave propagating? be. N What are the b. amplitude, c. wavelength, d. frequency, and e. propagation speed of the wave?
How many times a minute does a boat bob up and down on ocean waves that have a wavelength of 40.0 m and a propagation speed of 5.00 m/s?
A cable with a linear density of =0.2 kg/m is hung from telephone poles. The tension in the cable is 500.00 N. The distance between poles is 20 meters. The wind blows across the line, causing the cable resonate. A standing waves pattern is produced that has 4.5 wavelengths between the two poles. The air temperature is T=20C . What are the frequency and wavelength of the hum?
A sound wave can be characterized as (a) a transverse wave, (b) a longitudinal wave, (c) a transverse wave or a longitudinal wave, depending on the nature of its source, (d) one that carries no energy, or (e) a wave that does not require a medium to be transmitted from one place to the other.
A sound wave has a speed of 340m / s and a wavelength of 15 m. What is the frequency of the sound wave? Remember the wave equation is v = lambda*f 22.67 Hz 60 Hz 5100 Hz 0.044 Hz
Consider a sound wave modeled with the equation s(x, t) = 4.00 nm cos (3.66 m−1 x − 1256 s−1 t). What is the maximum displacement, the wavelength, the frequency, and the speed of the sound wave?
he wavelength of a wave at 1 kHz in air where the speed of sound is 340 m/s is Question 3 options: 0.0000034 m. 0.34 m. 340,000,000 m. 0.00000034 m. 0.00034 m.