Standing waves Definition and 259 Threads

Homework Statement Two strings are joint together, then their other ends are fixed. What is the lowest frequency that must be applied by an external source in order to produce a standing wave on the composite string, with a node on the junction of the two strings? The lengths of the two...

Hello All, I have been trying to solve the following exercise but I can't get my head around it: Two loudspeakers are 24m apart and they produce sound at a frequency of 1000Hz, assume speed of sound is 330m/s, what is the distance between each node? I don't undertand it, should I imagine...

Homework Statement A string of mass .03 kg and length 2 m is fixed at one end, and driven with an oscillator at the other end. The oscillator induces traveling waves on the string of the form y=A sin (kx-ωt) which traveled down the string, hit the fixed end, and get reflected back as a wave...

If I have a standing wave, what does doubling the mass density do to the amount of harmonics that are present?? What about quadrupling the mass density? *The standing wave is fixed with a consistent frequency. λ=1/f √(F/μ) I can't get this to work out. I don't think it is going to be...

Suppose that you were to apply just enough mass so that four "loops" (harmonics) are visible on a standing wave. If the mass density of the string were to double, how many loops (harmonics) if any would be visible? What about if the mass density were to quadruple? Explain. This was a lab...

Homework Statement Adjacent anti-nodes of a standing wave are 7m apart. The amplitude is 0.5m and period 0.05 seconds. Assuming the string is clamped at the position x=0m, y=0m on the left hand side. Find the amplitude at the point 0.29 m from the right of an antinode Homework Equations...

Homework Statement One end of a horizontal string of linear density 6.6*10^-4 kg/m is attached to a small amplitude mechanical 120-Hz oscillator. The string passes over a pulley a distance of l=1.50 m away, and weights are hung from this end. What mass m must be hung from this end of the...

Suppose I have a string that has completely no motion. at t=0, I give it energy, two waves. at t=t'. I see destructive interference from the two waves. question: At t=0, the net energy must be positive, >0, then at t=t', where is the energy? (let the waves "meet" at x=L, most of the...

Homework Statement A violinist places her finger so that the vibrating section of a 1.00 g/m string has a length of 40.0 cm, then she draws her bow across it. A listener nearby in a 20oC room hears a note with a wavelength of 60.0 cm.Homework Equations Wavelengthm = (2L/m) f1 = (v/2L) =...

Homework Statement Okay. So I'm sort of confused about the concept of determining whether an instrument is closed-closed, open-open, or closed-open.ie. a flute, guitar, sax, oboe, clarinet. For example, is a clarinet a closed-open instrument because your mouth covers the entire mouth piece and...

Homework Statement This is a conceptual question I had not related to a specific problem- so I know with each higher harmonic in pipes that the frequency increases a certain amount (the fundamental frequency- and that in pipes closed at one end skips the even harmonics). However I also know...

Can someone provide me a link that explains and provides a proof for the following principles: 1. Fermat's Principle that light always takes the path that minimizes the time taken 2. Solution to a Fourier Series and why all periodic motion can be represented as an infinite sum of sines and...

Ok, I've got a conceptual issue that I can't seem to resolve. Basically, as far as I know, standing waves can be visualised as displacement standing waves or pressure standing waves and I know that pressure nodes are displacement antinodes and vice versa. However, I've been told that pressure...

I have a question about standing waves. Is this what a standing wave is: a wave produced by a propagating wave and a reflected wave, resulting in a wave of zero propagation. A standing wave is produced, at a particular point, by the two propagating waves and it is simply a superposition of...

Hey, I am looking for information on the relationship between microwave wattage and standing waves. Does the wattage increase/decrease the size of the wave? Does wattage increase the frequency of the wave? I am also looking the relationship between the time a microwave is operating and...

Hi I am actually confused on the relation of standing waves and resonance. I know that standing waves are fromed when two waves of equal amplitude and frequency (one traveling and the other reflected or both traveling waves ) are superimposed in each other. This is the case when we also...

In the calculation of the theoretical speed vtheo. = √(F_T/μ) (7), the mass associated with the length of the string hanging over the pulley was not taken into account. Suppose that the length of string hanging over the pulley is 20cm and that the hanging mass is 100 grams. What percentage...

Homework Statement The A-string (440Hz) on a piano is 38.9cm long and is clamped tightly at both ends. If the string is under 667-N tension, what is its mass?Homework Equations \lambda = vT \mu = mass/length v = \sqrt{F/\mu}The Attempt at a Solution I don't really know which equations to useI...

Homework Statement So I am studying SAT II physics by myself and I don't really understand how standing waves form. I understand that they are formed by the interference of the two traveling waves which results in complete destructive interference at some points, and complete constructive...

Massive particles have a rest energy, m0c2, and therefore a matching rest or intrinsic frequency. So, does that mean that one massive particle at rest in one dimension is a standing wave? Thanks in advance.

Homework Statement Hi, I'm currently doing a project on the physics of music, more specifically physics of stringed instruments. I don't really understand how are standing waves generated and used in stringed instruments. Are the standing waves present in the string, in the sound wave, or...

I am stuck on a question about standing waves: 'The diagram below show's Melde's experiment and demonstartion of a stationary wave on a string' The string has 3 full wavelengths shown, and 3 points are marked: Point A is on an antinode, Point B is on the same antinode, but very...

Suppose that two identical waves travel in opposite directions. We know that a stationary wave is creating. How energy passes from the nodes?

im trying to demonstrate a standing wave using a string..can anyone help me with ideas on how to preform such demonstration.

Homework Statement see question 2a, b Homework Equations a) v=f(wavelength) b) v= sqrt(F/(m/L)) The Attempt at a Solution a) f=2.5 Hz, t=1.0 s and one wavelength on the graph is I guess 0.4 m? v=2.5(.4)=1 m/s b) f=5.0 Hz, tension same v= sqrt(F/(m/L)) means that a change in frequency will not...

Hello guys, I just have few questions about this. [PLAIN]http://www.acousticguitarelectricguitarlessons.com/images/guitar/Electric-Guitar-Parts.jpg Now I understand how a standing wave is formed. However I'm unsure what the nodal points are if I pluck an open string. Is it the...

So confused about standing waves in a closed pipe, which is open at one end and closed at the other. The closed end has a node while the open end has an antinode. To figure the wavelength, i use the formula: Lambda = 4L/n where n is the number of harmonic and can only be odd integers...

Is average power transfer at any point on a standing wave zero? The attempt at a solution: Yes I do think so as power is not transferred across nodes and antinodes hence there is no net energy transfer so average across ANY point should be zero.

Homework Statement A child has an ear canal that is 1.3 cm long. At what sound frequencies in the audible range will the child have increased hearing sensitivity? Homework Equations for open-closed tube, f= m(v/4L) The Attempt at a Solution I need two frequencies since the question...

Homework Statement Am I right when i say, "Standing waves are produced by the superposition of two waves with the same amplitude and frequency, and opposite propagation directions". If I am then why would it not be, the same amplitude and direction of propagation, but different...

Homework Statement Learning Goal: To understand standing waves, including calculation of and , and to learn the physical meaning behind some musical terms. The columns in the figure (Intro 1 figure) show the instantaneous shape of a vibrating guitar string drawn every 1 . The guitar...

Homework Statement A 6.70 kg object hangs in equilibrium from a string with a total length of L = 5.30 m and a linear mass density of µ = 0.00100 kg/m. The string is wrapped around two light frictionless pulleys that are separated by a distance of d = 2.00 m. (visual is attached) The tension...

Homework Statement Consider standing waves in an organ pipe. True or false: 1. In a pipe open at both ends, the frequency of the third harmonic is three times that of the first harmonic. 2. In a pipe open at both ends, the frequency of the fifth harmonic is five times that of the...

Homework Statement The wave function for a certain standing wave on a string that is fixed at both ends is given by y(x, t) = (5.00 cm) sin (2.50 m^(− 1)x) cos (500 s^(− 1)t) A standing wave can be considered as the superposition of two traveling waves. 1. a. Give the speed in m/s...

Homework Statement The water level in a vertical glass tube (length 1 m) can be adjusted to any position in the tube. A tunning fork vibrating at 660 Hz is held just over the open end of the tube. calculate at what position of the water level will there be resonance (standing waves) in the...

Homework Statement With a wavelength of 12cm, how do I show that the microwave frequency is approx. 2.5GHz? Homework Equations v=f x lambda The Attempt at a Solution I'm confused about the wave speed bit...

Homework Statement I have a system of infinite particles which when stationary are parted with distance a. Their movement is described with mu^{..}_{n}=\alpha(u_{n+1}+u_{n-1}-2u_{n} From which (assuming the solution is an harmonic wave) I got the dispersion...

Hello friends, I have done some research on the Internet about producing standing waves in a metal rod, and how the various harmonics frequencies are being derived. I have two questions that i wish to discuss here: 1. Is the pattern of standing waves and method of formula derivation the...

Homework Statement Draw a sketch of of a standing wave created by a string fixed at two ends, the frequency is 60 Hz, the wavelength is 0.4 m. Draw a profile with times t=0, T/4, T/2, 3T/2 Homework Equations period= 1/frequency, The Attempt at a Solution i know that at t/4, you...

2.2 Suppose you have a string 8 meters long. Briefly explain why it will be possible to set up standing waves with λ= 2 meters but NOT with λ= 3 meters. 2.3 Suppose standing waves of wavelength λ= 3 meters are established in a rope 6 meters long. i. What mode number is this? ii. Not counting...

Homework Statement A wave in quantum mechanics is represented by Aei(kx-\omegat). Show that a standing wave looks like 2iAe-i\omegatsin(kx) by subtracting two waves moving in opposite directions. (Hint: make the k negative in one of the waves) Homework Equations As far as I know, the 2...

Homework Statement We have the standard standing wave equation, y=2Acos(2\pi \frac{x}{\lambda})sin(2\pi \frac{t}{T}). We must prove that if two x-positions on the wave have an even number of nodes between them, they have a phase difference of 0, whereas in the opposite condition, they have a...

Do you get electromagnetic standing waves? If so, do the electric and magnetic fields not cancel each other because of their opposite direction in the standing wave? Can such a thing be measured?

Homework Statement In Fig. below, a string, tied to a sinusoidal oscillator at P and running over a support at Q, is stretched by a block of mass m.The separation L between P and Q is 2.30 m, and the frequency f of the oscillator is fixed at 142 Hz. The amplitude of the motion at P is small...

Homework Statement "Two loudspeakers emit sound waves along the x-axis. The sound has maximum intensity when the speakers are 27.5 cm apart. The sound intensity decreases as the distance between the speakers is increased, reaching zero at a separation of 60.5 cm. What is the wavelength of the...

Homework Statement I don't have an actual problem to solve, it's more of a conceptual problem. I'm trying to understand harmonics and standing waves, and how the nodes work out, but it's very confusing. (1) If a wave is FIXED at both ends, for the fundamental or 1st harmonic, does it...

Homework Statement What is the longest wavelength for standing waves on a 254.0 cm long string that is fixed at both ends? Homework Equations The Attempt at a Solution When x = L (length of string): k(n) = n*pi / L wavelength (n) = n*pi / k(n) I got the answer, I just...

Homework Statement Give an example of a traveling wave AND a standing wave for: 1 - Disturbances along a rope 2 - Sound 3 - Light Homework Equations None I can think of The Attempt at a Solution Hi, could someone please tell me if these are correct and, if not, what could I say...

Here's one for you guys. I've done some research and I couldn't find an exact answer to my question... In the experiment shown here: http://www.itc.csmd.edu/mth/ahouser/PHY1010/labs/Lab10StandingWaves.pdf Why is there no standing wave on the segment of the string between the pulley and the...

Homework Statement Hi everyone. I am working on a physics research paper on Standing Wave Patterns and the physics of a viola. I found this formula for standing wave patterns and am having trouble making sense of it. When I tried, I got sin(0) which is 0 making the whole thing 0. Is this a...