A standing wave with wavelength A = 1.2 m and frequency f = 50 Hz is generated on a stretched cord. For an element of the cord at x = 0.5 m, the maximum transverse velocity is v(y,max) = 2t m/s. The amplitude A of each of the individual waves producing the standing wave is:

A standing wave with wavelength A = 1.2 m and frequency f = 50 Hz is generated on a stretched cord. For an element of the cord at x = 0.5 m, the maximum transverse velocity is v(y,max) = 2t m/s. The amplitude A of each of the individual waves producing the standing wave is:

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter17: Traveling Waves

Section: Chapter Questions

Problem 25PQ

See similar textbooks

Related questions

Q: The superposition of two waves y1=A sin(kx-wt) and y2=A sin(kx-wt+p) results in a wave described by:…

Q: A standing wave with wavelength A = 1.2 m and frequency f = 100 Hz is generated on a stretched cord.…

A: The transverse waves are the waves whose propagation direction is perpendicular to the wave…

Q: Two points A and B are on the rope and are 90 cm apart from one another. On the rope propagates the…

A: There are 2 crests and 2 troughs between points A and B. So, there will form 2.5 complete circles.…

Q: A string of linear mass density 4.9 x 10-3 kg/m is stretched by a 441 N tension force, and fixed at…

A: Given The linear mass density is μ=4.9×10−3 kg/m. The tension force is T=441 N The frequency is…

Q: A standing wave with wavelength A= 1.2 m and frequency f 100 Hz is generated on a stretched cord.…

A: Standing waves are considered stationary waves and they are formed when the two waves of equal…

Q: A standing wave with wavelength A 1.2 m and frequency f = 100 Hz is generated on a stretched cord.…

A: The maximum velocity is given by v = w A where, w is the angular frequency and A is the amplitude.…

Q: Two transverse sinusoidal waves combining in a string are described by the wave functions y1 = 0.02…

A: Let A, k, x, ω, and t denote the amplitude of the sinusoidal wave, propagation constant, position,…

Q: A transverse wave travelling in a taut string of length L = 1 m is described by: y=0.1…

A: Mass of string m= 100g Length of string l= 1m Y=0.1sin(2πx-10πt)

Q: A standing wave with wavelength A = 1.2 m and frequency f = 80 Hz is generated on a stretched cord.…

A: The maximum velocity is v = w A where, w is the angular frequency and A is the amplitude.

Q: A traveling wave on a taut string with a tension force T is given by the wave function: y(x,t) =…

Q: A transverse wave travelling in a taut string of length L = 1 m is described by: y=0.1…

A: We have to use some basic formula here.

Q: A transverse periodic wave on a string with a linear density of 0.26 kg/m is described by the…

A: Given that the transverse periodic wave equation and linear density of the string.Then We have to…

Q: A sinusoidal wave is described by the wave function, y = (0.36 m) sin(0.10x − 47t) where x and y…

A: The general equation for describing a wave is given by: y=Asinkx-ωt.......(1)where, A is amplitudeK…

Q: The vertical position, y, of any point on a rope that supports a transverse wave travelling…

A: Equation of motion for a transverse wave Compare the given equation with the above equation

Q: Two transverse sinusoidal waves combining in a string are described by the wave functions y1 = 0.02…

A: Both the superposing waves are opposing each other Hence, the resultant wave due to the…

Q: The superposition of two waves y1=A sin(kx-wt) and y2=A sin(kx-wt+p) results in a wave described by:…

A: The wave equations are y1=Asinkx-ωty1=Asinkx-ωt+φ

Q: A standing wave on a string of length L = 3 m is described by the following equation: y(x,t) = 0.08…

A: Length of string: L = 3 m Equation of standing wave: y(x,t) = 0.08sin(2πx)cos(300πt)

Q: B 3. The vertical position, y, of any point on a rope that supports a transverse wave travelling…

Q: In a standing wave, not necessarily at the fundamental frequency, on a string of length L, the…

A: Given data: Standing wave on string Required: The distance between nodes

Q: A transverse sinusoidal wave is moving along a string in the positive direction of an x axis with a…

A: Concept: To calculate the necessary quantities, we utilize the standard equation of a transverse…

Q: A travelling wave on a taut string is given by the wave function: y(x,t) = 0.1 sin(x - 150t), where…

Q: A standing wave with wavelength A= 1.2m and frequency f= 50 Hz is generated on a stretched cord. For…

A: Given data: Wavelength, λ=1.2 m Frequency, f=50 Hz x=0.5 m Maximum transverse velocity, vy,max=2π…

Q: If a standing wave on a string is produced by the superposition of th following two waves: y1= A…

A: From the principle of superposition we can write the total displacement of the string is…

Q: A standing wave with wavelength A = 1.2 m and frequency f = 80 Hz is generated on a stretched cord.…

A: The maximum velocity is given by v = w A where, w is the angular frequency and A is the amplitude.…

Q: The vertical position, y, of any point on a rope that supports a transverse horizontally is given by…

A: Given,

Q: A taut string, fixed at both ends, is driven by an oscillator at a constant frequency of 175 Hz. The…

A: Maximum transverse speed formula is, Vmax = A*w w = angular frequency We know, w = 2*3.14*frequency…

Q: A standing wave with wavelength A = 1.2 m and frequency f = 50 Hz is generated on a stretched cord.…

A: Given Data: Wavelength, λ=1.2 m Frequency, f=50 Hz Element position, x=0.5 m Max. velocity at x=0.5…

Q: A transverse wave on a string (μ = 0.0030 kg/m) is described with the equation y(x, t) = 0.30 m sin…

Q: A standing wave on a stretched string with a tension force F T and of length L = 2 m has the…

A: Given, Length of string L = 2 m Velocity is reduce by factor 3

Q: A stretched string has a mass per unit length of 4.81 g/cm and a tension of 13.1 N. A sinusoidal…

Q: A standing wave with wavelength = 1.2 m and frequency f = 80 Hz is %3D generated on a stretched…

A: Wavelength of the standing wave λ=1.2 m Frequency of the standing wave f=80 Hz Displacement of wave…

Q: A sinusoidal wave traveling in the positive x direction has a wavelength of 0.5m , an amplitude of…

A: The general equation of a sinusoidal wave is given by: Where φ is the phase. Substitute the values…

Q: A transverse wave on a string is described by y(x, t) = (0.480 mm) sin {(2.747 rad/m)[x − (68.1…

A: A transverse wave on a string is described by y(x, t) = (0.480 mm) sin {(2.747 rad/m)[x − (68.1…

Q: A standing wave with wavelength A = 1.2 m and frequency f = 100 Hz is generated %3D on a stretched…

A: wave velocity = frequency x wavelength maximum velocity = w A where, w is the angular frequency…

Q: A transverse wave on a string is described by y(x, t) = (0.480 mm) sin {(2.747 rad/m)[x − (68.1…

A: Given information :- Here the equation of a transverse wave is given as y(x, t) =…

Q: A propagating wave on a taut string of linear mass density µ = 0.05 kg/m is %3D represented by the…

A: Power associated with travelling wave in a string P= (1/2) uvW^2 A^2 A = amplitude W= angular speed…

Q: A standing wave with wavelength A = 1.2 m and frequency f = 100 Hz is generated on a stretched cord.…

A: vmax=AωA=vmaxω=vmax2πf

Q: The superposition of two waves y1=A sin(kx-wt) and y2=A sin(kx-wt+cp) results in a wave described…

A: The waves can be transverse or longitudinal depending upon the propagation direction relative to the…

Q: A standing wave is produced by to identical wave traveling in opposite directions. If the wave…

Q: The profile of a transverse harmonic wave, travelling at 1.2 m/s on a string, is given by y = (0.02…

Q: If y(x,t) = ( 5.6 mm) sin[kx + (460 rad/s)t + p] describes a wave traveling along a string, how much…

Q: The vertical position, y, of any point on a rope that supports a transverse wave travelling…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: A taut string, fixed at both ends, is driven by an oscillator at a constant frequency of 100 Hz. The…

A: Given : Frequency (f) = 100 Hz Amplitude (A) = 3 mm

Concept explainers

Interference of sound

Seiche

A seiche is an oscillating standing wave in a body of water. The term seiche pronounced saysh) can be understood by the sloshing of water back and forth in a swimming pool. The same phenomenon happens on a much larger scale in vast bodies of water including bays and lakes. A seizure can happen in any enclosed or semi-enclosed body of water.

Question

%3D
A standing wave with wavelength A = 1.2 m and frequency f = 50 Hz is generated
on a stretched cord. For an element of the cord at x = 0.5 m, the maximum
transverse velocity is v(y,max) = 2t m/s. The amplitude A of each of the individual
waves producing the standing wave is:

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 by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

In figure OQ18.1 (page 566), a sound wave of wave-lenght 0.8 m divides into two equal parts that recombine to interfere constructively, with the original difference between their path lengths being |r2 r1| = 0.8 m. Rank the following situations according to the intensity of sound at the receiver from the highest to the lowest. Assume the tube walls absorb no sound energy. Give equal ranks to situations in which the intensity is equal. (a) From its original position, the sliding section is moved out by 0.1 m. (b) Next it slides out an additional 0.1 m. (c) It slides out still another 0.1 m. (d) It slides out 0.1 m more.
(a) At an air show a jet flies directly toward the stands at a speed of 1200 km/h, emitting a frequency of 3500 Hz, on a day when the speed of sound is 342 m/s. What frequency is received by the observers? (b) What frequency do they receive as the plane flies directly away from them?
A train sounds its horn as it approaches an intersection. The horn can just be heard at a level of 50. dB by an observer 10 km away. (a) What is the average power generated by the horn? (b) What intensity level of the horns sound is observed by someone waiting at an intersection 50. m from the train? Treat the horn as a point source and neglect any absorption of sound by the air.
(a) What is the intensity in watts per meter squared of a just barely audible ZUD—Hz sound? (b) What is the intensity in watts per meter squared of a barely audible 4000—Hz sound?
(a) What is the speed of sound in a medium where a 100kHz frequency produces a 5.96cm wavelength? (b) Which substance in Table 17.1 is this likely to be?
Two sinusoidal waves with identical wavelengths and amplitudes travel in opposite directions along a string producing a standing wave. The linear mass density of the string is =0.075 kg/m and the tension in the string is FT=5.00 N. The time interval between instances of total destructive interference is t=0.13 s. What is the wavelength of the waves?
Consider the following wave function in SI units: P(r,t)=(25.0r)sin(1.36r2030t) Explain how this wave function can apply to a wave radiating from a small source, with r being the radial distance from the center of the source to any point outside the source. Give the most detailed description of the wave that you can. Include answers to such questions as the following and give representative values for any quantities that can be evaluated. (a) Does the wave move more toward the right or the left? (b) As it moves away from the source, what happens to its amplitude? (c) Its speed? (d) Its frequency? (e) Its wavelength? (f) Its power? (g) Its intensity?
(a) If a submarine’s sonar can measure echo times with a precision of 0.00100 s, what is the smallest difference in distances it can detect? (Assume that the submarine is in the ocean, not in fresh water.) (b) Discuss the limits this time resolution imposes on the ability of the sonar system to detect the size and Shape of the object creating the echo.
The area of a typical eardrum is about 5.00 X 10-5 m2. (a) (Calculate the average sound power incident on an eardrum at the threshold of pain, which corresponds to an intensity of 1.00 W/m2. (b) How much energy is transferred to the eardrum exposed to this sound lor 1.00 mill?
The adjacent natural frequencies of an organ pipe are found to be 550. Hz and 650. Hz. (a) Calculate the fundamental frequency of the pipe. (b) Is the pipe open at both ends or open at only one end? (c) What is the length of the pipe?
A tuning fork generates sound waves with a frequency of 246 Hz. The waves travel in opposite directions along a hallway, are reflected by end walls, and return. The hallway is 47.0 m long and the tuning fork is located 14.0 m from one end. What is the phase difference between the reflected waves when they meet at the tuning fork? The speed of sound in air is 343 m/s.
A tuning fork is known to vibrate with frequency 262 Hz. When it is sounded along with a mandolin siring, four beats are heard every second. Next, a bit of tape is put onto each line of the tuning fork, and the tuning fork now produces five beats per second with the same mandolin siring. What is the frequency of the string? (a) 257 Hz (b) 258 Hz (c) 262 Hz (d) 266 Hz (e) 267 Hz