Two waves produce the following displacements on the same string:ond alianovyı = 24.0 mm sin(-1.25mX + 9nt)35.0 mm sin(0.40tx + 2.88nt)y2where x is in meters, y is in millimeters and t is in seconds. Att = 4.00 s, fin the resultingdisplacement at:a) X = 2.16 mb) X = 2.56 m

Answered: Image /qna-images/answer/17b60424-e7f3-4f91-a588-96b9b832e681.jpg

Two waves produce the following displacements on the same string: yi = 24.0 mm sin(-1.25mx + 9nt) y2 = 35.0 mm sin(0.40Tx + 2.88nt) where x is in meters, y is in millimeters and t is in seconds. Att = 4.00 s, fin the resulting displacement at: a) X = 2.16 m

Two waves produce the following displacements on the same string: yi = 24.0 mm sin(-1.25mx + 9nt) y2 = 35.0 mm sin(0.40Tx + 2.88nt) where x is in meters, y is in millimeters and t is in seconds. Att = 4.00 s, fin the resulting displacement at: a) X = 2.16 m

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter16: Waves

Section: Chapter Questions

Problem 68P: Transverse waves travel through a string where the tension equals 7.00 N with a speed of 20.00 m/s....

See similar textbooks

Related questions

Q: The equation of a transverse wave on a string is y = (2.0 mm) sin[(15 m1)x + (750 s-1)t] The tension…

Q: A transverse sinusoidal wave is generated at one end of a long horizontal string by a bar which…

Q: Use the wave equation to find the speed of a wave given in terms of the general function h(x, t):…

A: Given, Hence, it can be inferred that

Q: A surface ocean wave has an amplitude of 0.60 m and the distance from trough to trough is 8.00 m. It…

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: A transverse wave is traveling on a string. The displacement y of a particle from its equilibrium…

Q: A transverse wave on a string is described by y(x, t) = A cos (ωt + kx), where A = 0.700 mm, ω =…

Q: A sinusoidal wave is given by: y= 7 sin (2x - 6t) cm determine the transverse velocity vy of a point…

Q: A transverse wave on a string is described by the nave tunction 4= 9= .120 sin (Ix +4Tt) where x and…

Q: Equation of a wave travelling along x axis on a string is given as y = 3 sin (3.14x – 314t), where x…

A: y = 3 sin (3.14 x - 314 t) Compare with the standard equation y =A sin (w t + k x) So, Amplitude,…

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 sinusoidal wave is given by: y= 6 sin (8x - 9t) cm determine the transverse velocity vy of a…

Q: The linear density of a string is 1.6 x 10-4 kg/m. The wave on the string can be described by the…

A: Given. Equation of wave travelling on a string with a tension T in given by. Y = 0.021sin(92X +30t)

Q: A standing wave on a 2-m stretched string is described by: y(x,t) = 0.1 sin(4ttx) cos(50rtt), where…

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: Two waves are travelling in opposite directions on the same string. The displacements caused by the…

Q: A sound has an intensity of 8.0 x10-3 W/m2 at a distance of 2.0 m from its source. What is the…

A: Given: I = 8.0 x 10-3 W/m2, r = 2 m

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: Transverse waves with a speed of 44.5 m/s are to be produced on a stretched string. A 5.95-m length…

Q: At a point along a string, the displacement of transverse wave can be described by the equation,…

Q: A wave has the equation x (0.15 mm) cos (120t-210x) Can you tell from this equation what type of…

Q: A steel cable with a total length of 34 m and mass of 142 kg is connected to two poles. The tension…

Q: Q2. A wave on a string is described by y(x,t) = 15.0 sin(Tx/8 - 4rt) where x and y are in centimeter…

Q: A transverse wave is traveling on a string that is 60 cm long. The displacement y of a particle from…

A: Given data *The length of the string is l = 60 cm = 0.60 m *The displacement of the particle is y =…

Q: Two sinusoidal waves traveling in the same direction interfere to produce a resultant wave with the…

A: given y=0.04sin(0.4x-200t+π4)the given y is of the form y=2Acosϕ2sinkx-ωt+ϕwhere A is amplitude and…

Q: a transverse travelling wave on a cord is represented by y(x,t) = 1.25 cm sin(44.9x + 415t) where y…

Q: A transverse wave on a string is described by the following wave function. y0.080 sini where x and y…

A: solution is given as

Q: A longitudinal plane wave is described by the equation ξ = ξ0 cos(kx-ωt). If ξ0 = 2 mm, k = 3m ω =…

Q: A transverse wave on a string is described by the following equation.…

Q: The equation of a transverse wave on a string is y = (2.0mm) sin(20m-1x − 600s-1t) Tension in the…

A: The equation of the transverse wave on a string is y=2.0 mmsin20 m-1x-600s-1t The general equation…

Q: An earthquake can produce a seiche in a lake in which the water sloshes back and produced in a farm…

A: Given values, Length of pond(d)=8.36mTime taken by the pulse to reach the other end(t)=2.90s

Q: The equation of a transverse wave on a string is y = (2.0 mm) sin[(20 m-1)x - (600 s-1)t]. The…

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: 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: A bell emits sound energy uniformly in all directions at a rate of 4.00 × 10–3 W with a wavelength…

A: a) The frequency of the bell is given by,

Q: Transverse waves are traveling on a long string that is under a tension of 9.00 NN. The equation…

A: Given : Tension in the wire, T = 9 N Equation of a wave is…

Q: Two transverse sinusoidal waves travel in opposite directions along a string. Each has an amplitude…

Q: Transverse waves with a speed of 56.0 m/s are to be produced on a stretched string. A 4.05-m length…

A: Formula of speed of string wave is follows: v=Tμ…

Q: A transverse sinusoidal wave is generated at one end of a long horizontal string by a bar which…

A: Distance from top to the bottom =0.5 cm =0.005 m f = 150 Hz μ=0.25 kg/mT =90 N

Q: Transverse waves on a string have a wave speed of 8.00 m / s, an amplitude of 0.070 m and a…

A: (a) The frequency of the wave can be obtained as; f=vλf=8.00 m/s0.320 m f=25.0 Hz

Q: wave on a string is described by the following equation: y (x, t) = (3.0 cm) * cos [2pi ( x /…

A: Given A wave on a string is described by the following equation: y (x, t) = 3.0cm ×cos2πx2.4m…

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 sinusoidal wave is given by: y= 8 sin (2x - 5t) cm determine the transverse velocity vy of a…

A: The given data Sinusoidal wave is y = 8 sin(2x - 5t) The points are, x = 8cm and…

Q: A transverse wave is traveling on a string. The displacement y of a particle from its equilibrium…

Q: The equation of a transverse wave on a string is y = (2.0mm) sin(20m-1 x− 600s-1t) Tension in the…

A: The tension in the spring is, T=15 N The general equation of the transverse wave in the string is,…

Q: The equation of a transverse wave on a string is y = (6.2 mm) sin[(16 m1)x + (640 s-4)t] The tension…

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

A: Given that, The equation of a standing wave is, y(x, t)=0.8 cos(0.05πx) sin(200πt)

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

Two waves produce the following displacements on the same string:
ond alianov
yı = 24.0 mm sin(-1.25mX + 9nt)
35.0 mm sin(0.40tx + 2.88nt)
y2
where x is in meters, y is in millimeters and t is in seconds. Att = 4.00 s, fin the resulting
displacement at:
a) X = 2.16 m
b) X = 2.56 m

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 with 2 images

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

The speed of a transverse wave on a string is 300.00 m/s, its wavelength is 0.50 m, and the amplitude is 20.00 cm. How much time is required for a particle on the string to move through a distance of 5.00 km?
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)
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 ?
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?
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?
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?
Two sinusoidal waves are moving through a medium in the positive x-direction, both having amplitudes of 7.00 cm, a wave number of k=3.00 m-1, an angular frequency of =2.50 s-1, and a period of 6.00 s, but one has a phase shift of an angle =12 rad. What is the height of the resultant wave at a time t=2.00 s and a position x=0.53 m?
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?
If a wind instrument, such as a tuba, has a fundamental frequency of 32.0 Hz, what are its first three overtones? It is closed at one end. (The overtones of a real tuba are more complex than this example, because it is a tapered tube.)
A transverse wave on a siring is described by the wave function y=0.120sin(8x+4t) where x and y are in meters and t is in seconds. Determine (a) the transverse speed and (b) the transverse acceleration at t = 0.200 s for an element of the string located at x = 1.60 m. What are (c) the wavelength, (d) the period, and (e) the speed of propagation of this wave?
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 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?