Two sinusoidal waves of the same frequency travel in the same direction along a string. If ym1 = 2.9 cm, ym2 = 4.0 cm, o, = 0, and o2 = n/3 rad, what is the amplitude of the resultant wave?UnitsNumbercm

Given data The amplitude of the first wave is given as ym1 = 2.9 cm. The amplitude of the second…

Two sinusoidal waves of the same frequency travel in the same direction along a string. If ymı = 2.9 cm, ym2 = 4.0 cm, Q1 = 0, and p2 = n/3 rad, what is the amplitude of the resultant wave? Number Units cm

Two sinusoidal waves of the same frequency travel in the same direction along a string. If ymı = 2.9 cm, ym2 = 4.0 cm, Q1 = 0, and p2 = n/3 rad, what is the amplitude of the resultant wave? Number Units cm

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

Chapter14: Superposition And Standing Waves

Section: Chapter Questions

Problem 9P

See similar textbooks

Related questions

Q: 1. A wave is modeled by the wave function y(x,t)=(0.30m)sin[2Tt/4.50m(x-18.00m/st)]. What are the…

Q: The equation of a transverse wave on a string is y = (6.8 mm) sin[(20 m-1)x + (830 s-1)t] The…

Q: 1. A wave is modeled with the function y(x, t) = (0.25m)cos (0.30 m-1x – 0.90 s-lt + 5 Find the (a)…

A: Given A wave is modeled with the function yx,t = (0.25 m) cos 0.30 m-1x -0.90s-1t + π3

Q: Two sinusoidal waves traveling in opposite directions interfere to produce a standing wave with the…

A: The equation for a standing wave is usually given by Here, the given standing wave has a wave…

Q: Problem (1) A transverse wave is traveling on a tight string. The wave is described by the…

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: A transverse wave on a string is moving according to the equation y(x, t) = 4 sin(0.587x – 3nt)…

A: The given equation of the transverse wave is y(x, t)=4sin(0.58πx-3πt) the standard equation of the…

Q: 6. A travelling wave is represented by the function: y(x, t) = 0. 009 m sin (1. 2 m-lx- 5.0s~'t)…

A: Given: yx,t=0.009m sin1.2 m-1x-5 s-1t ....... (1) The standard for of the equation is:…

Q: 11. A wave is modeled by the wave function y(x,t)=(0.30m)sin[2n/4.50m(x-18.00m/st)]. What are the…

Q: 2. Given the wave equation y(x, t) = 2.0 Sin(3.0x – 4.0t + jm, where x is in meter and t is in…

A: The equation of wave is given by y(x,t)=Asin(kx-ωt) ......(1) where A is amplitude…

Q: direction of propagation of the wave modeled

Q: A sinusoidal wave is described by the wave function y = 1.8 sin ( 0.49 x + 28 t) where x and y are…

Q: 2) A string has a mass per unit length (linear mass density) µ = 0.055 kg/m. 2a) How much tension…

A: Using concepts of linear mass density of string and frequency of fundamental standing wave

Q: Two steel guitar strings have the same length. String A has a diameter of 0.55 mm and is under 440.0…

A: Given, two steel guitar string having same length, and String A diameter, dA=0.55 mm String A…

Q: Two progressive waves y1(x, t) = A sin(2π/λ (x) − ωt) and y2(x, t) = A sin(2π/λ (x) − ωt −π/2)…

A: Let A1 and A2 be defined as the amplitude of the two interfering waves. Therefore,…

Q: The equation describing a transverse wave on a string is v(x, t) = (4.50 mm) sin(159 s-1)t – (42.8…

Q: This figure shows a sinusoidal wave that is traveling from left to right, in the +x-direction.…

A: The peak to peak amplitude of the given waveform is Ap-p = 9.64 cm. Thus the wave's amplitude(A)…

Q: Scouts at a camp shake the rope bridge they have just crossed and observe the wave crests to be 8 m…

A: Given data: Wavelength (λ) = 8 m Frequency (f) = 2 Hz Required: Wave Speed (v)

Q: This figure shows a sinusoidal wave that is traveling from left to right, in the +x-direction.…

Q: Two sinusoidal waves of the same frequency travel in the same direction along a string. If ym1 = 3.3…

A: Given : Two sinusoidal waves of the same frequency travel in the same direction along a string. ym1…

Q: 2. Given the wave equation y(x, t) = 2.0 Sin(3.0x - 4.0t + Im, where x is in meter and t is in…

A: The general formula for wave function is given as yx,t=Asinkx-ωt+ϕ , where A is the amplitude ,k=2πλ…

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 sin( 4x – ot – 5) travel in the same direction. Calculate the velocity of the wave produced as a…

Q: Two progressive waves y¡ = A sin(4x – ot) and y2 = A sin( 4 x – ot – 5) travel in the same…

A: on interference the resultant wave is gven by,y=y1+y2y=A sin(2πλx-ωt) + A sin(2πλx-ωt-π2)so,y= 2 A…

Q: A wave on a string has the equation X = 3D(0.25 metres) cos (23t-21x) What does the value 23 rad/s…

A: ques:

Q: 5. A travelling sinusoidal wave has this equation: y(x, t) = 0.0450 m sin(25.12 m-1x-…

A: The given sinusoidal wave equation is y=0.0450 sin25.12x-37.68t-0.523 .............................…

Q: A standing wave is the result of superposition of two harmonic waves given by the equations y1(x;t)…

A: y1(x;t) = Asin(ωt - kx) y2(x; t) = Asin(ωt + kx) Angular frequency ω = 3π rad/s Wave number k =…

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

Q: 1. The wave function that describes a certain transverse wave at initial time t=0 is yoc,…

A: Since you have asked multiple sub-parts, only the first three subparts are solved for you. If you…

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: 5. Two waves traveling in opposite directions produce a standing wave. The individual wave functions…

Q: Two waves are described by y1 = 0.30 sin[p (5x - 200t)] and y2 = 0.30 sin[p (5x - 200t) + p/3],…

Q: A sinusoidal wave is described by the wave function y = 1.8 sin ( 0.56 x + 34 t) where x and y are…

A: sinusoidal wave, y=1.8 sin(0.56x+34t)

Q: A sound wave of the form s = Sm cos(kx- wt + @) travels at 346 m/s through air in a long horizontal…

A: Given: Form of sound wave s=smcos(kx-ωt+φ) Speed of sound wave, v= 346 m/s At point A, x=2.04 m,…

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

Q: This figure shows a sinusoidal wave that is traveling from left to right, in the +x-direction.…

A: (a)

Q: (a) y (cm) 12 50 x (cm) -12 FIGURE 9 FIGURE 9 shows a graph of displacement y against distance x for…

Q: Two waves are traveling in the same medium. Their displacements are given below: y1=2cmsin(πx-3πt)…

Q: A wave is modeled with the function y(x, t) = (0.25 m)cos(0.30 m−1 x − 0.90 s−1 t + π/3). Find the…

A: The general equation of a wave function is: y=Acoskx-wt+ϕ ........1 where A is the amplitude k is…

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 sinusoidal wave travels along a string. The time for a particular point to move from maximum…

Q: Review the graph below. What is the frequency of the wave shown? Particle Displacement (cm)…

Q: Write the y-equation for a wave traveling in the negative x-direction with wavelength 50 cm, speed…

A: The wave traveling in negative direction is given by, y=Acoskx+ωt =Acos2πλx+2πTt =Acos2πxλ+tT The…

Q: 3. A transverse periodic wave described by the expression y = sin 27 10 (where y and x are in meters…

Q: 1.1 A periodic wave is produced on a stretched string. Which one of the following properties is not…

A: i wave on string is transverse in nature and its equation is given by x= Asinωt+ϕ…

Q: This figure shows a sinusoidal wave that is traveling from left to right, in the +x-direction.…

A: (a)

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: Tension maintained in a string as in the figure below. The observed wave speed is v = 15.0 m/s when…

A: The wave velocity (v) in a stretched string is given as, v = Tμ, where T is the tension in the…

Q: A 1.6 m long string fixed at both ends vibrates at resonant frequency of 780 Hz and 1040 Hz, with no…

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 sinusoidal waves of the same frequency travel in the same direction along a string. If ym1 = 2.9 cm, ym2 = 4.0 cm, o, = 0, and o2 = n/3 rad, what is the amplitude of the resultant wave?
Units
Number
cm

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

A pulse moving along the x axis can be modeled as the wave function y(x,t)=4.00me( x+( 2.00m/s )t 1.00m)2 . (a)What are the direction and propagation speed of the pulse? (b) How far has the wave moved in 3.00 s? (c) Plot the pulse using a spreadsheet at time t=0.00 s and t=3.00 s to verify your answer in part (b).
A sound wave is modeled with the wave function P=1.20Pasin(kx6.28104s1t) and the sound wave travels in air at a speed of v=343.00 m/s. (a) What is the wave number of the sound wave? (b) What is the value for P(3.00 m, 20.00 s)?
A harmonic transverse wave function is given by y(x, t) = (0.850 m) sin (15.3x + 10.4t) where all values are in the appropriate SI units. a. What are the propagation speed and direction of the waves travel? b. What are the waves period and wavelength? c. What is the amplitude? d. If the amplitude is doubled, what happens to the speed of the wave?
Consider two waves y1(x,t) and y2(x,t) that are identical except for a phase shift propagating in the same medium. (a)What is the phase shift, in radians, if the amplitude of the resulting wave is 1.75 times the amplitude of the individual waves? (b) What is the phase shift in degrees? (c) What is the phase shift as a percentage of the individual wavelength?
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?
Ocean waves with a crest-to-crest distance of 10.0 m can be described by the wave function y(x, t) = 0.800 sin [0.628(x - t)] where x and y are in meters, t is in seconds, and = 1.20 m/s. (a) Sketch y(x, t) at t = 0. (b) Sketch y(x, t) at t = 2.00 s. (c) Compare the graph in part (b) with that for part (a) and explain similarities and differences. (d) How has the wave moved between graph (a) and graph (b)?
A standing wave on a string is described by the equation y(x, t) = 1.25 sin(0.0350x) cos(1450t), where x is in centimeters, t is in seconds, and the resulting amplitude is in millimeters. a. What is the length of the string if this standing wave represents the first harmonic vibration of the string? b. What is the speed of the wave on this string?
Two sinusoidal waves of the same frequency travel in the same direction along a string. If Ym1 = 4.4 cm, Ym2 = 6.2 cm, ₁ = 0, and 4₂ = π/3 rad, what is the amplitude of the resultant wave? Number i Units
y1=4.6 mmsin2πx-400πt y2=4.6mmsin(2πx-400πt+0.8π) Write the wave equation for the resultant wave. Determine the amplitude, frequency, wavelength, and speed of the resulting wave.
A wave is modeled by the wave function y(x, t) 2п 3.8 m What are the amplitude (A), wavelength (A), wave speed (v), period (P), frequency (f), and wave number (k) of the wave? a. A = 0.24 b. λ = C. U= d. P = e. f = f. k= Submit Question EE m/s S Hz m-1 Hint 1 = (0.24 m) sin -(x-(17.6 m/s) t)
Problem 1 Let y1 = A sin(kx – wt + a) and yY2 = B sin(kx – wt + B) be the equa- tions representing two traveling transverse wave. Here A and B are two possibly different amplitudes, and a and ß are two possibly different phase shifts. The wave vector k and angular frequency w of each wave are the same. d) What is the resultant wave Yı + y2 in terms of R and ø? e) If A = 2, B = 3, a = T/4, B = 1/2, plot the phasors i and 2, and the sum y1 + ỹ2-
Two sinusoidal waves of the same frequency travel in the same direction along a string. If ym1 = 3.3 cm, ym2 = 7.6 cm, Q1 = 0, and P2 = TT/ 3 rad, what is the amplitude of the resultant wave? Number i Units