Amplitude Definition and 825 Threads

Homework Statement A stone is thrown into a quiet pool of water. With no fluid friction, the amplitude of the waves falls off with distance r from the impact point as: A. 1/r3 B. 1/r C. 1/r1/2 D. 1/r3/2 E. 1/r2 Homework Equations I can't think of any wave function accounting for...

Homework Statement The interior of a thin spherical shell of mass M and radius R is completely filled with water and hangs from a ceiling on a light thread. The distance from the sphere's center to the hanging point is L, and the mass of water is m. Determine the change in the frequency of...

I teach marine biology and have been presenting the traditional model of the equilibrium tidal theory (2 humps on rotating earth) as still presented in most basic texts, but have not been able to find the theory or presumed explanation for the apparent generally increasing amplitude in tidal...

Homework Statement I have a simple harmonic oscillator system with the driving force a sinusoidal term. The question is to find the general solution and the amplitude of the steady state solution Homework Equations I found the steady state part of the solution. It is of the form...

Homework Statement A 0.50 kg particle executes linear harmonic motion about the point x = 0.0. At t= 1.0, it has a displacement x = 0.50m and a speed of 5.0 m/s to the right. The frequency of the motion is 2Hz. Determine (a) the spring constant, (b) the amplitude of the motion, (c) the...

Hi. If amplitude is doubled, is perceived loudness necessary doubled? If I recall correctly, we hear things on a logarithmic scale.

Homework Statement A small earthquake starts a lamppost vibrating back and forth. The amplitude of the vibration of the top of the lamppost is 6.5 cm at the moment the quake stops, and 8.0 seconds later it is 1.8 cm. A. What is the time constant for the damping of the oscillation? _____...

Homework Statement A 200g mass attached to a horrizontal spring oscillates at a frequency of 2.0 Hz. At one instant, the mass is at x=5.0cm and has vx = -30cm/s. A. Determine the period. T= ____seconds B. Determine the amplitude. A =____cm C. Determine the maximum speed. vmax =...

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...

I have seen discussion about it here but it is still not clear to me whether probability is square of probability amplitude or is it product of amplitude with it's complex conjugate. I looked in HyperPhysics http://hyperphysics.phy-astr.gsu.edu/Hbase/quantum/qm.html#c5" and it says it's product...

Homework Statement Two wave generators S1 and S2 produce water waves of wavelength 0.5 m. A detector X is placed on the water surface 3 m from S1 and 2 m from S2 as shown in the diagram. Each generator produced a wave of amplitude A at X when operated alone. The generator are operating...

Homework Statement what is the amplitude of the motion v=-6.54sin(20.1t) (mks units) angular frequency=20.1 Homework Equations v=wAcoswt The Attempt at a Solution I think the wavelength is 6.54 since 20.1 is the frequency. v =6.2 m/s. I am missing time.

Homework Statement guitar scale= 25.5inch pitch A=440Hz string gauges 0.056inch, 0.053inch Hello folks, can anyone help me with formula that relates string tension, scale length, pitch and string gauge.. I need to be able to calculate the amplitude of different string gauges. Thank...

An ultrasonic transducer, of the type used in medical ultrasound imaging, is a very thin disk (m = 0.12 g) driven back and forth in SHM at 0.9 MHz by an electromagnetic coil. (a) The maximum restoring force that can be applied to the disk without breaking it is 36,000 Newtons. What is the...

Homework Statement An annular sheet (i.e. a flattened ring) , of thickness t = 1mm and made of a material of resistivity 0.5 Ohm m connects the inner and outer conductors of an air spaced coaxial transmission line at a point on the line. A low frequency signal is fed into one end of the line...

Finding amplitude? SHM problem Homework Statement A 245 g mass attached to a horizontal spring oscillates at a frequency of 3.70 Hz. At t =0s, the mass is at x= 4.40 cm and has v_x = -25.0 cm/s. Determine: Homework Equations I got the first two The Period= .27027 s The Angular Frequency=...

what is the relationship between amplitude and intensity...is intensity just the amplitude squared?

In continuous Markov processes there is an idea of sample path. Starting at a point we follow the values of the process through time and find that almost surely the paths are continuous. In Brownian motion (Wiener process) the paths are crinkly curves, continuous paths of infinite variation...

Homework Statement Three light waves combine at a point where their electric field components are E1 = Eo sin \omegat E2 = Eo sin (\omegat - 2\pi/3) E3 = Eo sin (\omegat + \pi/3) Find the resultant amplitude of the electric field ER at that point and it's phase angle\beta Write...

I attach a 2 kg block to a spring that obeys Hooke's Law and supply 16 J of energy to stretch the spring. I release the block; it oscillates with period .3 s. The amplitude is: * 38 cm * 19 cm * 9.5 cm * 4.3 cm Can anybody help me with this? I can't figure out what to do or where to...

A^{2} \propto I When is it appropriate to use this formula? I don't understand how to use a proportionality. Say I have an amplitude A and I make it 2A can I use the equation to determine the intensity will increase by a factor of 4? I guess I don't know why it is a proportionality...

Homework Statement It is a three part question in which I have successfully answered the first two of the questions. Part. 1 A weight suspended from a spring is seen to bob up and down over a distance of 10 cm twice each second. What is the frequency? 2 Hz is the...

Homework Statement Light is emitted from a point source. How does amplitude of light change when light has traveled from R to 2R? Homework Equations Energy=(1/2)kA^2 where k is constant and A is amplitude Intensity=(Energy/time)/area The Attempt at a Solution My teacher...

Hi there, So I have a multi year time series of of heights in meters that I am working on. If I compute the FFT on the data and then calculate the amplitude as: abs(FFT)/N where N is the number of samples what units do I end up with for the amplitude? Is it still in meters? Cheers

We started Quantum Physics in class, and I tried working out the Schrodinger Equation (not mathematically, of course - that's far beyond my level. Just the vague concepts) I understand it's basically a function that shows how something changes in time, and a snapshot of it at one particular...

Homework Statement An oscillator with a mass of 600 g and a period of 1.20 s has an amplitude that decreases by 2.50% during each complete oscillation. If the initial amplitude is 6.40 cm, what will be the amplitude after 50.0 oscillations? Homework Equations How do I approach this...

Homework Statement Two sinusoidal waves, identical except for phase, travel in the same direction along a string producing a net wave y'(x, t) = (1.0 mm) sin(18x - 4.0t + 0.960 rad), with x in meters and t in seconds. (a) What is the wavelength λ of the two waves? (b) What is the phase...

A mass of 0.5 kg is attached to the end of a massless spring of spring constant 0.40 N/m. It is released from rest from an extended position. After 0.7 s, the speed of the mass is measured to be 1.75 m/s. What is the amplitude of oscillation? What is the total energy (relative to the mass at...

Homework Statement A pendulum with a swing amplitude of 150 cm is recorded to have a period of 2.1s. Calculate after 0.3s release from the furthest amplitude position. a) Angular velocity b) displacement c) Angular acceleration d) Length of the pendulum I've only had one lecture on...

I'm having a problem calculating the Feynman amplitude for the scalar scattering process \chi^+ \chi^- \to \chi^+ \chi^- for an interaction Lagrangian which is: \mathcal{L} = - g \chi^\dagger \chi \Phi - \frac{\lambda}{4} (\chi^\dagger \chi)^2 So far I have the 2 Feynman Diagrams for...

Homework Statement A line source of sound (for instance, a noisy freight train on a straight track) emits a cylindrical expanding sound wave. Assuming that the air absorbs no energy, find how (a) the intensity I and (b) the amplitude sm of the wave depends on the perpendicular distance r from...

Homework Statement A fisherman's scale stretches 4.1 cm when a 2.7 kg fish hangs from it. (a) What is the spring stiffness constant? 645.3658537 N/m (b) What will be the amplitude and frequency of vibration if the fish is pulled down 2.0 cm more and released so that it...

Homework Statement Determine the amplitude of the resultant wave when two sinusoidal waves having the same frequency and traveling in the same direction are combined, if their amplitudes are 3.0 cm and 4.0 cm and they differ in phase by \pi/2 rad Homework Equations y(x,t)=a*sin(kx-wt)...

Hi I have a case where a wave with an amplitute 'A' progresses with a particular velocity 'v'. The wave is such that the amplitude at x=0 increases to particular value and stays there for the entire time some thing like below. at time(t)=0 x(position) =...

Homework Statement A block of unknown mass is attached to a spring with a spring constant of 5.50 N/m and undergoes simple harmonic motion with an amplitude of 12.5 cm. When the block is halfway between its equilibrium position and the end point, its speed is measured to be 25.0 cm/s. (a)...

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 0.386 m. The maximum transverse acceleration of a point at the middle of the segment is 9000 m/s^2 and the maximum transverse...

Hi I am new to this community, so don't beat me up too hard :). I have a question about the Hamiltonian when it will simulate the principal system as a harmonic oscillator interacting with the environment which is also an harmonic oscillator (page 291 in "Quantum computation and Quantum...

Homework Statement A large block P executes horizontal simple harmonic motion as it slides across a frictionless surface with a frequency f = 1.5 Hz. Block B rests on it, as shown in the figure, and the coefficient of static friction between the two is 0.6. What is the maximum amplitude of...

Homework Statement I'm supposed to calculate the scattering amplitudes of some spherically symmetric potentials in the Born approximation and just trying to figure out how that works in general and what a scattering amplitude is actually. Homework Equations 1+1=2 The Attempt at a...

I'm not talking about the wavefunction but instead, the physical free electron wave. Thanks!

Homework Statement A transverse sinusiodal wave on a string has a period T= 25.0 ms and travels in the negative x direction with a speed of 30.0 m/s. At t=0, an element of the string at x=0 has a transverse position of 2.00 cm and is traveling downward with a speed of 2.00 m/s. Homework...

What's the formula for the amplitude of a photon? Thanks.

I need to know the magnitude of the velocity perturbations (peculiar velocities) dv at time of last scattering as function of the multipole moment. The temperature power spectrum of CMB shows temperature fluctuations dT/T ~ 10^-5. That naively suggests the peculiar velocities were dv/c ~...

Homework Statement "Two waves are traveling in the same direction along a stretched string. The waves are 30.0° out of phase. Each wave has an amplitude of 4.00 cm. Find the amplitude of the resultant wave." Homework Equations y(x,t) = Asin(kx - \omegat) The Attempt at a Solution...

Hey I have several questions about waves and particles.. I believe I mixing it... Okay firstly we have two stones, One big and one small. First i drop to water one and measure amplitude, freaquency, velocity and energy of a wave. And then another one.. What results I would get, will...

simple harmonic motion --> amplitude independent of mass? I know that acceleration is directly proportional to displacement, but opposite in sign, and that acceleration and displacement are related by the square of the frequency. But i was wondering if amplitude is independent of mass in...

Ok, I'm confused. Wavelength and frequency is basically the same thing, just different measures. Hight energy photon means that it has high frequency/ low wavelength. There are AM - amplitude modulators and FM - frequency modulators. (radio) Radio waves are photons, just really long ones. I...

Homework Statement Prove that the amplitude I_{0} of the steady periodic solution is maximal at w =1/\sqrt{LC}Homework Equations LI''+RI'+(1/C)*I=wE_{0}cos(wt) I(steady periodic)=E_{0}cos(wt-\alpha))/(\sqrt{R^2+(wL-(1/wC))^2}[b]3. The Attempt at a Solution [/b I can see by the graph that it...

Homework Statement An air-track glider is attached to a spring. The glider is pulled to the right and released from rest at t=0 s. It then oscillates with a period of 1.5 s and a maximum speed of 40.4 cm/s. What is the amplitude of the oscillation? Homework Equations x=Acos(wt+ro)...

Homework Statement An air-track glider attached to a spring oscillates between the 9.23 cm mark and the 50.23 cm mark on the track. The glider completes 27 oscillations in 44.7 s. angular frequency of the glider? (in rad/s) 3.7933 what is the amplitude of the glider? Homework Equations...