A pulse can be described as a single wave disturbance that moves through a medium. Consider a pulse that 5 m centered around x = 0 m. The pulse is defined at time t = 0.00 s by the equation y(x) = 2x² + 2 moves with a velocity of v = 4.4 m/s in the positive x-direction. a. What is the amplitude of the pulse? A = m b. Where is the pulse centered at time t = 5.00 s? x = m

A pulse can be described as a single wave disturbance that moves through a medium. Consider a pulse that 5 m centered around x = 0 m. The pulse is defined at time t = 0.00 s by the equation y(x) = 2x² + 2 moves with a velocity of v = 4.4 m/s in the positive x-direction. a. What is the amplitude of the pulse? A = m b. Where is the pulse centered at time t = 5.00 s? x = m

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: A wire with mass 50.0 g is stretched so that its ends are tied down at points 90.0 cm apart. The…

Q: An ethernet cable is 4.15 m long and has a mass of 0.205 kg. A transverse pulse is produced by…

A: Given: The length of the cable is L=4.15 m The mass of the cable is m=0.205 kg The time duration is…

Q: Problem 1 Let y1 = Asin(kax – wt + a) and y2 = B sin(kr – wt + B) be the equa- tions representing…

Q: Suppose a wave whose expression is given as y(t) = A sin (27Ft), where y is the vertical…

A: Given, Expression of wave is y(t)= A sin(2πFt) Wave complete one cycle in 20milliseconds ( time…

Q: You have a stopped pipe of adjustable length close to a taut 62.0 cm, 7.25 g wire under a tension of…

Q: Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the…

A: A mathematical model is defined as the formalized description of the system which is derived from a…

Q: A pulse can be described as a single wave disturbance that moves through a medium. Consider a pulse…

A: A pulse defined at time t by the equationcentered around x=0mAlso given the pulse moves with a…

Q: A sinusoidal wave of frequency 500 Hz has a speed of 370 m/s. (a) How far apart are two points that…

A: λ=370/500=0.740 m=740 mm. T = 1/f = 1/500 = 2×10-3 sec = 2 ms (a) A cycle is equivalent to 2π…

Q: A sin(ka – wt) and y2 = A sin(kx + wt) represent two Let y1 = al amplitude, traveling in opposite…

Q: A transverse wave on a string has an amplitude of 0.209 m and a frequency of 204 Hz. Consider the…

A: A transverse wave moving on a string can be modelled by the following general equation of motion…

Q: The pendulum on a grandfather clock has a period of 2.00 s. If the clock is not wound, the…

Q: Two traveling pulses on a rope move toward each other at a speed of 1.0 m/s. The waves have the same…

A: Given: Two travelling pulses on a rope move toward each other at a speed of 1.0 m/s. The waves have…

Q: A history graph for a travelling wave pulse is shown below. y(m) x-6m 0.2- 0.1 t(s) 0 1 2 3 4 5 6 7…

Q: You have a stopped pipe of adjustable length close to a taut 62.0 cm, 7.25 g wire under a tension of…

Q: You are designing an airplane propeller that is to turn at 2400 rpm. The forward airspeed of the…

A: Given data:Angular velocity of the propeller: N=2400rpmSpeed of the propeller tips:…

Q: A piano tuner uses a tuning fork to tune a string to 300HZ . When the tension is 530N , he hears a…

A: The beat frequency is created due to interference of two sound waves resulting in constructive and…

Q: Your experiments on a particular insulator indicate that at 20°C, the average speed of sound in the…

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

Q: Consider the waveform expression. y (x, t) = ym sin (909t + 0.333x + 3.71) The transverse…

Q: A transverse wave on a string has an amplitude of 0.188 m and a frequency of 215 Hz. Consider the…

Q: A mass (100 g) rests on a second mass (850 g) that is attached to a spring with k = 75.0 N/m. The…

Q: A 38.0-Hz sound wave is barely audible at a sound intensity level of 60.0 dB. The density of air at…

A: The frequency of the sound wave is f=38.0 Hz The sound intensity level is L=60 dB The density of air…

Q: A transverse wave on a string has an amplitude of 0.188 m and a frequency of 215 Hz. Consider the…

A: Given Data :Amplitude of the wave A = 0.188 mFrequency of the wave f = 215 HzGeneral equation of the…

Q: An Ethernet cable is 4.30 m long. The cable has a mass of 0.195 kg. A transverse pulse is produced…

Q: B sin(kx – wt + B) be the equa- tions representing two traveling transverse wave. Here A and B are…

A: As y1=Asin(kx-wt+alpha) y2=Bsin(kx-wt+beta) We can use principle of superposition of two waves.

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

A pulse can be described as a single wave disturbance that moves through a medium. Consider a pulse that
5
m centered around x = 0 m. The pulse
=
is defined at time t = 0.00 s by the equation y(x) =
2x² + 2
moves with a velocity of v= 4.4 m/s in the positive x-direction.
a. What is the amplitude of the pulse?
A =
m
b. Where is the pulse centered at time t = 5.00 s?
x=
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: Introduction.

Step 2: Part (a).

Step 3: part (b).

Solution

Step by step

Solved in 4 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 train whistle is heard at 250 Hz as the train approaches town. The train cuts its speed in half as it nears the station, and the sound of the whistle is then 240 Hz. Part A What is the speed of the train before slowing down? Express your answer to two significant figures and include the appropriate units. V1 = Part B Value v2 = What is the speed of the train after slowing down? Express your answer to two significant figures and include the appropriate units. LO μA Units Value ? Units ?
The maximum energy of a vibrating mass is 3.00 x 10^-2 joules. The amplitude of oscillaiton is 2.50 mm with a frequency of 200 Hz. A. What is the mass of the object? B. What is the maximum acceleration of the object? C. If the mass affects the vibration frequency (like that of a mass and spring system), what should the mass be to double the maximum energy? Assume that the oscillation amplitude is not affected.
An ethernet cable is 3.90 m long and has a mass of 0.210 kg. A transverse pulse is produced by plucking one end of the taut cable. The pulse makes four trips down and back along the cable in 0.810 s. What is the tension in the cable?N
Solve
n.com - ClosetMaid 156 X Ebern Designs Cimino Desk & UO Home Décor + Apartment Sale X + gen/Iti/main.uni ent PRINTER VERSION ( BACK Chapter 16, Problem 025 Your answer is partially correct. Try again. = 7.19 m/s. The wave is A wave has the following properties: amplitude = 0.371 m, period traveling in the -x direction. What is the equation for the wave? = 0.770 s, wave speed %3D 0.371 У 3 1.13 8.16 rad/s *sin( *x) SHOW HINT LINK TO TEXT By accessing this Question Assistance, you will learn while you earn points based on the Point Potential Policy set by your udy instructor. Question Attempts: 2 of 6 used SAVE FOR LATER SUBMIT ANSWER Earn Maximum Points available only if you MacBook Pro Q Search or type URL %23 & 3 5 8 de т н K в N. * 00 C.
A violin string 30.4 cm long with linear density 0.674 g/m is placed near a loudspeaker that is fed by an audio oscillator of variable frequency. It is found that the string is set into oscillation only at the frequencies 1350 and 1800 Hz as the frequency of the oscillator is varied over a certain range. What is the tension in the string? Number i Units
Two wires are welded together end to end. The wires are made of the same material, but the diameter of one is twice that of the other. They are subjected to a tension T. The thin wire has a length L and a linear mass density μ. The combined wire is fixed at both ends and vibrated in such a way that two antinodes are present, with the node between them being right at the weld. a. What is the frequency of vibration? b. What is the length of the thick wire?
One end of a 22 g string is tied to the ball and the other end to a pole. The string is 5.0 m long. The oscillation of the ball produces a wave of wavelength 3.5 m travels in the +x direction along the sting. What is the tension of the string? c) At x = 0.80 m and t = 0, D(0.8,0) is a crest. Write a complete expression (in terms of sine function) for the displacement of the string as a function of position x and t in SI units
?
A.) The frequency of a vibrating bar is inversely proportional to the SQUARE of its length: f = constant/L2. I have two identical bars, except that one has a length of 36.8 cm and the other a length of 24.2 cm. What is the ratio of the vibrational frequency of the shorter bar to the longer bar? B.)A 0.8 meter length of string in mode number 2 vibrates with a frequency of 385 Hz. What is the velocity of the wave on the string
A wave is modeled by the wave function: y (x, t) = A sin [ 2π/0.1 m (x - 12 m/s*t)] 1. Find the wavelength, wave number, wave velocity, period and wave frequency. 2. Construct on the computer, in the same graph, the dependence of y (x, t) from x on t = 0 and t = 5 s in case the value of amplitude A corresponds to the first letter of your name: letter E A. A=0.1 mB. A=0.15 mC. A=0.2 mÇ. A=0.25 mD. A=0.3 mDh. A=0.35 mE. A=0.4 mË. A=0.45 mF. A=0.5 m G. A=0.55 mGj. A=0.6 mH. A=0.65 mI. A=0.7 mJ. A=0.75 mK. A=0.8 mL. A=0.85 mLl. A=0.9 mM. A=0.95 m N. A=1.05 mNj. A= 1.1 mO. A=1.15 mP. A=1.2 mQ. A=1.25 mR. A=1.3 mRr. A=1.35 mS. A=1.4 mSh. A=1.45 m T. A=1.5 mTh. A=1.55 mU. A=1.6 mV. A=1.65 mX. A=1.7 mXh. A=1.75 mY. A=1.8 mZ. A=1.85 mZh. A=1.9 m 3. After constructing the graph, make the appropriate interpretations and comments from the result that you got graphically. 4. How much is the wave displaced during the time interval from t = 0 to t = 5 s? Does it match this with the graph results?…
A piano wire of linear density 12 g/m has a length 2 m. It is stretched with a force of 7000N. A. What is the third harmonic of vibation of this wire? Draw a diagram. B. By what factor do you have to change the tension to get a fundamental mode at the same frequency.