Answered: If yoxt) - (5.3 mm) sinjkx + (670…

If yoxt) - (5.3 mm) sinjkx + (670 rad/s)t + q} describes a wave traveling along a string, how much time does any given point on the string take to move between displacements y- +3.1 mm and y--3.1 mm?

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 2OQ

See similar textbooks

Related questions

Q: Consider the waveform expression. y (x, t) = ymsin (639t + 4.70 + 0.163x) The transverse…

Q: A sinusoidal wave is described by the displacement equation rad 4.5 m rad s(x, t) = 8.92 µm · cos…

A: the displacement equation of a sinusoidal wave is given by : s(x,t) = 8.92 μm . Cos[ (4.5 rads)x -…

Q: The equation for a wave on a string is given below,D(x,t)=0.021m sin [2Π{2.0)x+(30)t-1/2}] where x…

A: Here given the equation of the wave as D(x,t)=0.021m sin [2Π{2.0)x+(30)t-1/2}], where x is in m and…

Q: The equation of a standing wave is y(x,t) = 0.8 cos(0.1tx) sin(200tt) %3D where x and y are in cm…

A: The expression for the general form of the standing wave is given as y=2acoskxsinωt On comparing…

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

A: v=ωk=300π2π=150 m/s

Q: standing wave on a stretched string fixed at both enc 1 sin(2Tx) cos(100rtt). The string has a…

A: Given values:- Equation of standing wave is given by:- y(x,t)=0.1sin2πxcos100πt ----(1) Length of…

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

A: Given equation is, y(x,t)=0.08 sin (2πx) cos (300 πt) On compare this equation with y = A…

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

Q: In a sinusoidal wave, the time required for a particular point to move fror maximum displacement to…

A: Answer is frequency = 2.34Hz

Q: The speed of a transverse wave on a string is 450 m/s, and the wavelength is 0.18 m. The amplitude…

A: Given data in the question is: Velocity, Wavelength, Amplitude and Distace, where -Distance, D = 1…

Q: The equation of a standing wave is y(x,t) = 0.8 cos(0.2rtx) sin(200rtt) where x and y are in cm and…

A: A standing wave, also known as a stationary wave, is a wave that oscillates in time, but whose peak…

Q: A transverse wave on a taut string is nodeled with the wave function y(x, t) = Asin(kx-ot) =…

A: The transverse wave on a taut string is modeled as the wave function. Here, x denotes the position…

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

A: v=ωk=300ππ=300 m/s

Q: If y(x,t) = ( 8.4 mm) sin[kx+ (580 rad/s)t + p] describes a wave traveling along a string, how much…

A: A wave is given by the equation : y(x,t) = 8.4mm Sin(kx + 580t + φ)

Q: A sine wave on a string is described by the function y= (0.51 cm)sin( kx – ot) when k = 3.10 rad /…

Q: wo sinusoidal waves of the same frequency travel in the same direction along a string. If ymi = 2.9…

A: Given- ym1 = 2.9 cm ym2 = 4 cmϕ1 = 0 ϕ2 =n3

Q: The equation of a transverse traveling wave on a string is given by y =0.0025 sin [300π t +5πx],m…

A: y =0.0025 sin [300π t +5πx]

Q: *9. m The speed of a transverse wave on a string is 450 m/s, and the wavelength is 0.18 m. The…

A: The expression for find frequency is f=vλ Substitute values in the above equation…

Q: A transverse wave on a taut string is modeled with the wave function y(x, t) = Asin(kx-ot) =…

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

Q: A sinusoidal transverse wave traveling in the positive direction of an x axis has an amplitude of…

A: As per guidelines, we can answer only 3 parts. From the given equation; y(x,t) = ymsin(kx - wt) ym =…

Q: A wave of form: y(x,t)= (0.035 m) cos[(160 s-1)t +(5 m-1) x] travels down a string with a density of…

A: Given,

Q: A traveling wave on a string has an amplitude of 0 m and the string element at x =0 and t = 0 has a…

Q: If y(x,t) = (6.7 mm) sin[kx+ (760 rad/s)t + o] describes a wave traveling along a string, how much…

Q: A certain transverse wave is described by y(x,t)=Bcos[2π(xL−tτ)]y(x,t)=Bcos[2π(xL−tτ)], where BBB…

Q: A sinusoidal transverse wave traveling in the positive direction of an x axis has an amplitude of…

A: Given,Amplitude of the sinusioidal transverse traveling along the positive directionA = 3.8…

Q: d of this wave. (d) Determine the instanta- WA sinusoidal is described by the displacement wave…

A: "Since you have posted a question with multiple sub-parts, as per strict guidelines to us we will…

Q: A wave of the form: y(x,t)= (0.035 m) cos[(160 s-1)t +(5 m-1) x] travels dowm a string with a…

A: The wave can be represented as

Q: A wave is modeled with the wave function y(x, t) = 0.65m cos[ 120cm-1x - 9.4s-1t + π/5 ] %3D…

Q: The equation of a standing wave is y(x,t) = O.8 cos(0.1rx) sin(200rtt) where x and %3D y are in cm…

A: Given:- A standing wave yx,t=0.8cos0.1πxsin200πt here x and y in the cm and t in the sec Find:- The…

Q: A standing wave has the following wave-function: y(x,t) = 0.2 sin(Ttx) cos(12rtt), where x and y are…

A: Given: Wave function, yx,t=0.2sinπxcos12πt ..eq1 String length, L=2 m

Q: A standing wave with wavelength of 2 m, speed of 20 m/s and amplitude of 2 mm is generated on a taut…

Q: The wave equation of a sinusoidal wave travelling is given as y = 0.15 sin (nt – 2 nx) where y is in…

A: Consider the given data as below. The wave equation of a sinusoidal wave travelling, y=0.15 sinπt-2π…

Q: A wave is modeled with the function y(x,t)=4 cm cos(0.75m−1x+2.5s−1t+π/4). Find the (a)…

A: Given wave function: yx,t=4cm×cos0.75m-1x+2.5s-1t+π4 1

Q: Consider a wave described by the wave function 플) -1 -1 y (x,t)=0.65m sin x + t + -m 5 3 find the…

Q: A sinusoidal transverse wave has a wavelength of 2.8 m. It takes 0.1 s for an element of the string…

A: The wavelength =2.8m To find the period of the wave , wave speed , frequency and time period

Q: The equation of a standing wave is y(x,t) = 0.8 cos(0.05Ttx) sin(200rtt) where x and y are in cm…

A: Given, Equation of wave, y=0.8cos(0.05πx)sin(200πt)

Q: Two waves travelling in the same direction are described by the wave functions: y1 (x,t) = 0.03…

A: Given wave functions: y1x,t=0.03 sinπx-10πt y2x,t=0.03 sinπx-10πt+π3

Q: A wave is modeled with the wave function y(x , t) = 0.55m cos[ 135cm-1x - 8.35s-1t + π/9 ]…

A: Given Data: y(x , t) = 0.55m cos[ 135cm-1 x - 8.35s-1 t + π/9 ] General Equation: y(x , t) = A…

Q: The equation of a standing wave is y(x,t) = 0.8 cos(0.2Ttx) sin(200rt) %3D where x and y are in cm…

A: The distance between the two successive nodes is, L=λ2 The wavelength of the wave is,…

Q: Consider a wave described by the wave function 6 T -1 y (x,t)= 0.65m sin (- m- st + 3 =), find the…

A: We have been provided with a wave equation so we will compare this wave equation with general wave…

Q: The equation of a standing wave is y(x,t) = 0.8 cos(0.05ttx) sin(200rt) where x and y are in cm and…

A: The equation of the standing wave is y(x,t)=0.8cos0.05πxsin200πt The coefficient associated with t…

Q: A wave is modeled with the function y(x,t) = (0.25m)cos(0.30m1x-0.90s-t+n/3). Find %3D (a) the…

A: The expression for the wave motion is given as yx,t=Asinkx-ωt+ϕ Comparing it with given equation we…

Q: The equation of a standing wave is y(x,t) = 0.8 cos(0.2Ttx) sin(200Tt) where x and %3D y are in cm…

A: The standard equation is y (x, t) = 2 r sin kx cos w t

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

A: v=ωk=300ππ=300 m/s

Q: Given the following harmonic waves y_1 (x, t) = 5sen (8πx-20πt) and y_2 (x, t) = 5sen (8πx-20πt + π…

A: Concept - If two identical waves are travelling in the same direction,with the same frequency,…

Q: Two sinusoidal waves of the same wavelength travel in the same direction along a stretched string.…

Q: The speed of a transverse wave is 250.00m/s, its wavelength is 0.80m, and the amplitude is 23.00 cm.…

A: The frequency of the sound wave can be given as, f=vλ Here, v denotes the wave's velocity and λ…

Q: Transverse waves on a string have wave speed of 8.00 m/s, amplitude of 0.0700 m, and wavelength of…

A: Given data: Wave speed v =8.00 m/s Amplitude A=0.0700m Wavelength, λ =0.320m

Concept explainers

Stretched string

A stretched string is a wire which is made up of any metal that must have a larger length compared to its thickness. The ends of the wire are fixed, and when they oscillate or are plucked, it produces two reflected transverse waves of the same frequency and same amplitude. The waves or pulses are traveling in alternate directions and superimpose with one another. This waveform is named standing or stationary waves.

Question

If
y(x.t) - (5.3 mm) sinikx + (670 rad/s)t + ql
describes a wave traveling along a string, how much time does any given point on the string take to move between displacements y=
+3.1 mm and y -3.1 mm?
Number
Units

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

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

A string on the violin has a length of 24.00 cm and a mass of 0.860 g. The fundamental frequency of the string is 1.00 kHz. (a) What is the speed of the wave on the string? (b) What is the tension in the string?
A transverse wave on a string has a wavelength of 5.0 m, a period of 0.02 s, and an amplitude of 1.5 cm. The average power transferred by the wave is 5.00 W. What is the tension in the string?
At t = 0, a transverse pulse in a wire is described by the function y=6.00x2+3.00 where xand y are in meters. If the pulse is traveling in the positive x direction with a speed of 4.50 m/s, write the function y(x, t) that describes this pulse.
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?
A string is fixed at both ends to supports 3.50 m apart and has a linear mass density of =0.005 kg/m. The string is under a tension of 90.00 N. A standing wave is produced on the string with six nodes and five antinodes. What are the wave speed, wavelength, frequency, and period of the standing wave?
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)
Consider a diagnostic ultrasound of frequency 5.00 MHz that is used to examine an irregularity in soft tissue. (a) What is the wavelength in air of such a sound wave if the speed of sound is 343 m/s? (b) If the speed of sound in tissue is 1800 m/s, what is the wavelength of this wave in tissue?
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.
Two strings are attached between two poles separated by a distance of 2.00 meters as shown in the preceding figure, both strings have a linear density of 1=0.0025 kg/m, the tension in string 1 is 600.00 N and the tension in string 2 is 700.00 N. Transverse wave pulses are generated simultaneously at opposite ends of the strings. How much time passes before the pulses pass one another?
Two strings are attached between two poles separated by a distance of 2.00 m as shown below, both under the same tension of 600.00 N. String 1 has a linear density of 1=0.0025 kg/m and string 2 has a linear mass density of 2=0.0035 kg/m. Transverse wave pulses are generated simultaneously at opposite ends of the strings. How much time passes before the pulses pass one another?
A string, fixed on both ends, is 5.00 m long and has a mass of 0.15 kg. The tension if the string is 90 N. The string is vibrating to produce a standing wave at the fundamental frequency of the string. (a) What is the speed of the waves on the string? (b) What is the wavelength of the standing wave produced? (c) What is the period of the standing wave?
Two sinusoidal waves are moving through a medium in the positive x-direction, both having amplitudes of 6.00 cm, a wavelength of 4.3 m, and a period of 6.00 s, but one has a phase shift of an angle =0.50 rad. What is the height of the resultant wave at a time t=3.15 s and a position x=0.45 m ?