. The graph shows two waves A and B travelling to the right at the same speed of 12 m/s. Using the data in the graph, determine for each wave: (i) its wavelength (ii) its frequency 0.50 m- В A- 0.25 m x (m) -0.25 m 2.0 4.0 6.0 -0.50 m-

. The graph shows two waves A and B travelling to the right at the same speed of 12 m/s. Using the data in the graph, determine for each wave: (i) its wavelength (ii) its frequency 0.50 m- В A- 0.25 m x (m) -0.25 m 2.0 4.0 6.0 -0.50 m-

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 19P

See similar textbooks

Related questions

Q: Two waves, ??and ?? are given by the equations y1 = 5 sin [2π (x + 5t)] andy2 = 5 sin [2π(x - 5t)].…

Q: Use the wave equation to find the speed of a wave given by y(x, t) = (2.08 mm)[(22 m1)x - (4.0…

Q: A string of length 6 m and a mass of 90 g is held under a tension of 105 N. A wave travels down the…

A: Step:1∙Length of string is 6m.∙Mass of string is 90 gram∙ Tension in string T=105 N∙…

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: For Items 25 – 28, refer on the problem below A sinusoidal wave traveling in the positive x…

Q: Use the wave equation to find the speed of a wave given by y(x, t) = (2.08 mm)[(22 m²1)x - (4.0…

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

A: Given, The wave equation, Y(x, t) = (4.15 mm)h[(31 m-1)x - (6.4 s-1)t] The wave equation is in the…

Q: Two progressive waves 2л y1 (x, t) = A sin(4x – wt) and y2 (x, t) = A sin(4x – ot – 5) IT 2 travel…

A: The waves carry disturbances from one point to the other. The transverse waves are those that travel…

Q: What is the time period of a sound wave with velocity 625 m / s in air and a wavelength of 2 m?…

A: Given data: Velocity v =625 m Wavelength λ=2 m

Q: The equation of a wave is given by the equation y(t)=3 sin (2πx-4πt), where x is in meters and t is…

A: (e). The general equation of the wave is

Q: A wave is described by the given wave function, y(x,t) 0.75m sin Calculate the following: 1) The…

Q: The superposition of two travelling waves y1 and y2 results in a wave described by: y=A…

A: solution is given as

Q: A wave is modeled at time t = 0.00 s with a wave function that depends on position. The equation is…

A: Given: Waves are broadly classified into transverse waves and longitudinal waves. Transverse wave is…

Q: A wave is modeled with the wave function y(x, t) = 0.7cm sin[ 100cm-1x - 7.35s-1t + T1/4 ] Calculate…

A: Wave equation is given by Y(x,t) = (0.7cm)Sin[100 cm-¹x - 7.35s-¹t + π/4] -------->(1) We…

Q: A string of length 5 m and a mass of 90 g is held under a tension of 100 N. A wave travels down the…

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 waves are described by the following equations, where distances are measured in meters and…

Q: y = 0.20 sin[12t + x/9 + π] Determine the speed and direction of propagation of each of the…

Q: A wave is described by the given wave function, у(х,t) 3 0.5m sin 3 -1 X, -1 it S 4 10 The velocity…

Q: A progressive wave travelling in the x-direction is represented by the following equation: y = A…

Q: The average intensity of a wave on a given surface is defined as the rate at which energy flows…

A: The sound intensity level in decibel = 10 log II0 where I is intensity I0 is threshold intensity of…

Q: A boy has climbed to the top of a 6m tall tree. When he shouts, the sound waves have an intensity of…

Q: A sound wave of the form s = Sm cos(kx - wt + p) travels at 344 m/s through air in a long horizontal…

A: Given v=344m/s s=6.00nm , x=2.03m s=2.30 nm , x=2.08 m Since s is max at x=2.03 m, then sm=6.00nm…

Q: Use the wave equation to find the speed of a wave given by ylx, t) = (2.08 mm)[(22 m²)x- (4.0…

Q: The expression of a stationary wave is given by y = 12 cos 3x sin 2t where y and x in metres and t…

A: Given : Expression of stationary wave : y = 12 cos 3x sin 2t

Q: Use the wave equation to find the speed of a wave given by y(x, t) = (2.08 mm)[(22 m²1)x - (4.0 s…

Q: The function D (x, t) = 0.15 sin (2.1x + 13t), represents a wave moving in a cable, to the left,…

Q: Two waves traveling in the same direction are described by the wave functions: y_1…

A: The given functions are, y1(x,t)=0.04sin2πx-6πt+π2y2(x,t)=0.04sin2πx-6πt

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: 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 sinusoidal waves, which are identical except for a phase shift, travel along in the same…

A: The given wave equation is yRx,t=0.35cm sin6.28m-1x-1.57s-1t+π4rad ...... (I) This is…

Q: The distance between the second and fifth nodes in a standing wave is 59 cm. What is the wavelength…

A: Given value--- distance between second and fifth nodes = 59 cm. frequency = 25 Hz. We have to…

Q: The equation of a standing wave is y(x,t) = 0.8 cos(0.05TUx) sin(200Ttt) where x %3D and y are in cm…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: A string is 55.0 cm long and has a mass of 3.00 g. A wave travels at 4.60 m/s along this string. A…

A: FOR FIRST STRING length of string L =0.55 m mass = 3 x 10-3 kg speed of wave = 4.60 m/s…

Q: Speed of a wave = wavelength x frequency v = af v- velocity (speed), measured in m/s 2= wavelength,…

A: Time period = 1/frequency

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

Q: A moving wave is described by y = (0.01m)sin(3t + 10x), with x in meters and t in seconds. Determine…

Q: If the following is a history graph of a wave traveling to the right at a speed of 2.50 cm/s x = 2.5…

A: Loot at the points A, B , C , D at t=1.0 sec. We can calculate that xAt=4 =2.5…

Q: Transverse waves on a string have wave speed 8.00 m/s, amplitude 0.0700 m, and wavelength 0.320 m.…

A: Given speed of transverse wave (v)=8 m/s wavelength of transverse wave (λ)=0.32 m amplitude of…

Q: 3. A transverse periodic wave described by the expression y = sin 27 2 10 (where y and x are in…

A: Given: y = sin 2πx2+t10

Q: A wave is described by the given wave function, y(x,t) = 0.65m sin 6 T 8 1+ mx 3 Calculate the…

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

Q: Use the wave equation to find the speed of a wave given by y(x, t) = (2.00 mm)[(20 m-1)x - (4.0…

A: Standard equation of wave is Y(x, t) =As in(Kx-wt) ; So we get K= 20m-1 W=4s-1 As we know the…

Q: Using the data in the graphs that accompany this problem, determine the speed of the wave. At i =0s…

A: Speed of the wave is given by, v=λT where λ is wavelength and T is time period. We have to find…

Q: Wave Speed (m/s) vs. Tension (N) • Wave Speed (m/s) - 25.7x*0.339 40 30 20 10 0.05*10 0.07 10 0.1*10…

A: The relationship between wave speed, tension, and linear density for transverse waves in a spring.…

Q: The vertical displacement of particles in a string (when a wave is propagating through it) is given…

A: Given: Vertical displacement, y=0.02sin 10wt+8wx

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

11. The graph shows two waves A and B travelling to the right at the same speed of 12 m/s. Using the
data in the graph, determine for each wave:
(i) its wavelength
(ii) its frequency
0.50 m-
B
A-
0.25 m
x (m)
-0.25 m
2.0
4.0
6.0
-0.50 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

Step 2

Step 3

Step 4

Step by step

Solved in 4 steps with 4 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

What frequency sound has a 0.10m wavelength when the speed of sound is 340 m/s?
With a sensitive sound-level meter, you measure the sound of a running spider as -10 dB. What does the negative sign imply? (a) The spider is moving away from you. (b) The frequency of the sound is too low to be audible to humans. (c) The intensity of the sound is too faint to be audible to humans. (d) You have made a mistake; negative signs do not fit with logarithms.
Give one example of a transverse wave and another of a longitudinal wave, being careful to note the relative directions of the disturbance and wave propagation in each.
An interstate highway has been built through a neighborhood in a city. In the afternoon, the sound level in an apartment in the neighborhood is 80.0 dB as 100 cars pass outside the window every minute. Late at night, the traffic flow is only five cars per minute. What is the average late-night sound level?
What are the closest frequencies to 500 Hz that an average person can clearly distinguish as being different in frequency from 500 Hz? The sounds are not present simultaneously.
Calculate the speed of sound on a day when a 1500 Hz frequency has a wavelength of 0.221 m.
The toadfish makes use of resonance in a closed tube to produce very loud sounds. The tube is its swim bladder, used as an amplifier. The sound level of this creature has been measured as high as 100. dB. (a) Calculate the intensity of the sound wave emitted. (b) What is the intensity level if three of these toadfish try to make a sound at the same time?
A sound wave traveling in 20°C air has a pressure amplitude of 0.5 Pa. What is the intensity of the wave?
Ultrasound reflected from an oncoming bloodstream mat is moving at 30.0 cm/s is mixed with the original frequency of 2.50 MHZ to produce beats. What is the beat frequency? (Assume than the frequency of 2.50 MHz is accurate to seven significant figures.)
Air temperature in the Sahara Desert can reach 56.0°C (about 134°F). What is line speed of sound in air at that temperature?
How can an object move with respect to an observer so that the sound from it is not shifted in frequency?
Which of the following statements is not necessarily true regarding mechanical waves? (a) They are formed by some source of disturbance. (b) They are sinusoidal in nature. (c) They carry energy. (d) They require a medium through which to propagate. (e) The wave speed depends on the properties of the medium in which they travel.