Wave speed Definition and 89 Threads

Homework Statement A wave travels along a string. Its amplitude is 0.500 mm, its frequency is 300 Hz, and λ ‎= 0.10 m. μ = 0.01 kg/m. If I double the tension, but keep the wavelength the same, how would the amplitude and the phase speed of the wave change? Homework Equations v = sqrt...

Homework Statement A guitar string is vibrating in its fundamental mode, with nodes at each end. The length of the segment of the string that is free to vibrate is "L" . The maximum transverse acceleration of a point at the middle of the segment is "a" and the maximum transverse velocity is...

Homework Statement The speed of waving in shallow water depend only on the acceleration of gravity g, a quantity with dimensions L/T^2, and on the water depth h. Which of the following formulas for the wave speed v could be correct? a) v=1/2gh^2 b)v=√gh Homework Equations L =...

Homework Statement The problem is the same as the title; to find the relation between wave speed and tension for a standing wave in a string. (Fixed ends) Given data (from the experiment) String length = 1.62m, mass is negligible Frequency = 48.2 Hz Basically one end of the string was...

Homework Statement Two fishing floats, a distance of 4.5 metres apart, bob up and down at 20 times per minute. The floats always move in antiphase. There is always at least one wave crest between the floats but never more than two. a) Show that the wavelength of the ripples on the river is...

Homework Statement Problem 5 from: http://www.swccd.edu/~jveal/phys274/images/hw01.pdf in case you don't understand my text. A chain of linear mass density u, and length L is hang- ing from a ceiling. There is a wave moving vertically along its length. a) Is the propagation speed...

Homework Statement What is the wave speed in a brass wire with a radius of 4.65×10-4 m stretched with a tension of 128 N? The density of brass is 8.60×103 kg/m^3. Homework Equations v=square root of T/u The Attempt at a Solution I have already found the cross sectional area but...

Homework Statement The wave speed on a string is 155 m/s when the tension is 84.0 N. What tension will give a speed of 182 m/s? Homework Equations velocity= Squareroot(tension/linear density) linear density = mass/length The Attempt at a Solution Well, what I did was...

Homework Statement If the amplitude of the oscillator doubles, what happens to the wavelength and wave speed? The wavelength doubles but the wave speed is unchanged. The wavelength is unchanged but the wave speed doubles. Both wavelength and wave speed are unchanged...

Say we have two real fields, R(x,t) and S(x,t), which satisfy the 3-dimensional wave equation. Now let there be an interaction potential between the fields R and S of the form, V = m(R-S)^2. Suppose the "motion" of the fields is either symmetric or anti-symmetric, that is R(x,t) = + or -...

The linear density of a string is 5.520×10-3 kg/m. A transverse wave on the string is described by the equation y=(0.033 m)sin(2.50 m-1x +125.7 s-1 * t). 1.) What is the wave speed? 2.) What is the tension in the string? I've already calculated the wave speed but I don't...

The speed of water waves in shallow water is given approximately by: c^2 = gh A seiche is a standing wave in a shallow water basin with antinodes at ends and a node in the center. A lake is approximately a channel 9 km wide and 300 m deep. Calculate the seiche period for such a channel...

I have trouble understanding why water waves tend to speed up for waters deeper than 1/2 wavelength and slow down for waters shallower. I have read it has something to do with how the particle orbit changes to elliptical in shallow waters. Why does the particle orbit become a flat ellipse in...

Homework Statement A Transverse wave on a string is described by this function : y=.25(meters) sin[\frac{\pi(4)}{8} + \pi4t] a.) Find the speed of the wave at t= 2sec b.) Find the acceleration at t= 2sec Homework Equations y=.25 sin[\frac{\pi(4)}{8} + 4\pit] The Attempt at a Solution...

This has always puzzled me and nobody (professors, textbooks) ever seemed to elaborate on it (maybe it is very simple and I merely didn't catch on). Anyway, I understand that when a wave passes through a medium, the individual particles of the medium are briefly displaced from their...

Homework Statement A person fishing from a pier observes that four crests pass by in 7.35 s and estimates the distance between two successive crests as 7 m. The timing starts with first crest and ends with fourth crest. What is the speed of the wave? Homework Equations f = 1/T v = f*d...

Homework Statement A rope, under a tension of 200 N and fixed at both ends, oscillates in a second-harmonic standing wave pattern. The displacement of the rope is given by y = (0.10m)(sinPIx/2)sin12PIt where x = 0 at one end of the rope, x is in meters, and t is in seconds. What are...

I'm trying to calculate transverse wave speed for a point on a taut string when the y displacement is 12.0 cm. The given wave function is 15.0 cm cos(Pi*x-15Pi*t), and that is all I am given. How do you do this?

A wave travels along a string at a speed of 280m/s. What will the speed if the string is replaced by one made of the same material and under the same tension but having twice the radius? V = root (Tension/mu) mu = mass/length length is 2radii I manipulated the formulas, however...

Homework Statement What is the wave speed in a brass wire with a radius of 3.35×10-4 m stretched with a tension of 120 N? The density of brass is 8.60×103 kg/m^3. Homework Equations v = \sqrt{\frac{T}{\mu}} The Attempt at a Solution I have no clue about this problem. It gives me...

Homework Statement Two strings have been tied together with a knot and stretched between two rigit supports. The strings have linear densities µ1 = 1.4 x 10-4 kg/m and µ2 = 2.8 x 10-4 kg/m. Their lengths are L1 = 3.0m and L2 = 2.0m, and string one is under 400N tension. If a pulse is...

Homework Statement A jetskier is moving at 9.8 m/s in the direction in which the waves on a lake are moving. Each time he passes over a crest, he feels a bump. The bumping frequency is 1.1 Hz, and the crests are separated by 5.6 m. What is the wave speed? Homework Equations...

Homework Statement A 7 metre long string is stretched between 2 walls so that its ends are fixed. It is made to vibrate and it is found that the displacement, y is given by: y = 0.023sin(xpi)cos(0.714 pi t) where x and y are in metres and t is in milliseconds. a) to which harmonic, N, does...

Ok, propably everyone here knows that IN THEORY it is possible for a human to fly. This question has been bugging me a lot and I know it can be solved using some kind of aerial physics (Dont know the term :D). Therefore my question is: How fast must 75 kilograms weighing human wave his hands...

I am trying to find the speed of propagation of a transverse wave in a string. Speed = wavelength times frequency. I have the period, .075s, so 1 over T is the frequency. I have the distance between 2 ADJACENT antinodes, which is .15m (Is this the wavelength?) Could someone work out the...

Homework Statement This is a question from my lab manual v=Cmu^aT^b (4.3) Use dimensional analysis of equation (4.3) to determine the exponents a and b. Homework Equations i know that the proper equation is v=sqrt(T/mu) The Attempt at a Solution I tried dimensional to get some...

[SOLVED] Standard error Homework Statement A student determined the following values for the wave speed; calculate the average value of the wave speed and its standard error 50.8, 50.6, 51.8, 52.0, 50.9, 51.6, 51.3, 51.5 Homework Equations avg wave speed = 51.3 The Attempt at a...

say for example there is a pulse through a string .then what exactly is wave speed or for that matter in case of unidirectional wave motion

first HI to everyone! I have a question: is there a (simple) way to reduce radio wave speed at it's source - transmitor (e.g. to 100 or 1000x less then the speed of light)? thx in advance

Hi i have a problem. My physics teacher tells us that a longitudinal wave moving on a spring has speed v=(kL/u)^2 where k is spring constant n L e length of spring u=m/L of that spring.. which i think its unbelievable but the teacher told me its true.. I think the speed of e wave got nothing...

Homework Statement A group of swimmers is resting in the sun on an off shore raft. They estimate that 2.2 m separates a trough from an adjacent crest of surface waves on a lake. They count 18 crests that pass by the raft in 31s. How fast are the waves moving?Homework Equations F= 1/t...

I was hoping somebody could help me with the "wave speed" equation relating to the EM spectrum. The equation is: Speed = Frequency x wavelength (v=fλ) I believe the speed of all EM waves is 3 x 108 this all seems simple enough, however i find putting this into practice somewhat complicated...

In Fig. 17-30a, string 1 has a linear density of 2.30 g/m, and string 2 has a linear density of 4.10 g/m. They are under tension owing to the hanging block of mass M = 500 g. (a) Calculate the wave speed in each string. m/s (speed in string 1) m/s (speed in string 2) (b) The block...

why does the wave speed change when traveling over different depths.Does it travel faster when going over deeper water?

tension is maintained in a string as in the figure. the observered wave speed is 26 m/s when the suspended mass is 3.2 kg what is the mass per unit length of the string in kg/m what is the wave speed of the suspended mass when it is 2.5 kg. ans in m/s please help (the picture has a...

The speed of a slinky Questions: i What happens to the speed of the wave if the material changes (ex. stretched) ii What happens to the speed of a pulse is reflected off one end of the material.

hi, sorry if this is in the wrong section, but I am new to the forum! Im doing an A2 physics investigation, and have pretty much completed it all, an got a good set of results, but i need to prove that they are right! i have been using a simple set up by applying a 0.5A current through a...

I'm doing an investigation on how the speed of a wave varies as the depth of water changes, using a tray of water. I know that in deeper water the speed will be quicker than that in shallow water. However I don't quite understand why this is. Apparently it has something to do with Stoke's...

Hi I am working on a certain homework problem and I would appreciate some hint or inputs. A rope, of length L, is attached to the ceiling and struck from the bottom at t=0. The rope has negible stiffness, how long would it take for the wave to travel up the string and back down? I have...