Your friend is using their hand to wiggle a large rope such that a wave travels through it. Theymove their hand upwards twice every second, a total distance of 0.5m from the bottom to the top.All disturbances travel through the rope at a speed of 2 m/s.Mathematically describe the vertical displacement of the rope as a function of time t andhorizontal position x. Explain your work in detail. You can assume that when your friend's hand isin the maximum up position is when you start counting time.You let your friend get comfortable with making the wave, and then you snap two pictures oneafter another at time t=5.00s and at t=5.25s.Draw y-vs-x graphs (with axes labels and values) showing what the wave looked like those twomoments in time. Explain how you determined the shape of the graphs.

However, based on your description, I can still help you solve the problem as long as you provide a…

Answered: Your friend is using their hand to…

University Physics Volume 1

18th Edition

ISBN:9781938168277

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

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

Chapter17: Sound

Section: Chapter Questions

Problem 34P: The displacement of the air molecules in sound wave is modeled with the wave function...

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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 dog swims from one end of a pool to the opposite end. Is the dogs motion described as a wave? Explain.
Consider a wave described by the wave function y(x,t)=0.3msin(2.00m1x628.00s1t) . (a) How many crests pass by an observer at a fixed location in 2.00 minutes? (b) How far has the wave traveled in that time?
A pulse can be described as a single wave disturbance that moves through a medium. Consider a pulse that is defined at time t=0.00s by the equation y(s)=6.00m3x2+2.00m2 centered around x=0.00m . The pulse moves with a velocity of v=3.00m/s in the positive x-direction. (a) What is the amplitude of the pulse? (b) What is the equation of the pulse as a function of position and time? (c) Where is the pulse centered at time t=5.00s ?
Consider two wave functions y1(x,t)=Asin(kxt) and y2(x,t)=Asin(kx+t+) . The resultant wave form when you add the two functions is yR=2Asin(kx+2)cos(t+2) . Consider the case where A=0.03m1,k=1.26m1,=s1 , and =10 . (a) Where are the first three nodes of the standing wave function starting at zero and moving in the positive x direction? (b) Using a spreadsheet, plot the two wave functions and the resulting function at time t=1.00 s to verify your answer.
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)?
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An earthquake can produce a seiche in a lake in which the water sloshes back and forth from end to end with remarkably large amplitude and long period. Consider a seiche produced in a farm pond. Suppose the pond is 9.15 m long and assume it has a uniform width and depth. You measure that a pulse produced at one end reaches the other end in 2.50 s. (a) What is the wave speed? (b) What should be the frequency of the ground motion during the earthquake to produce a seiche that is a standing wave with antinodes at each end of the pond and one node at the center?
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