Amplitude Definition and 868 Threads

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 P(x)=e^(-ax) does P(x) satisfy the normalization condition? if not, how would you modify P(x)? Given normalization condition on P(x) and P(x)=A*(x)A(x)=abs(A(x))^2 is there a unique formula for A(x)? if so determine it. if no, give at least four possible expressions for...

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...

Hi All, I am having trouble trying to understand & calculate the effects that magnetic soils have on a pulsed induction metal detector, in particular soils containing iron. I have read this: The section on Soil Magnetic Properties...

My book states: "Power is proportional to amplitude squared" How can this be derived? Thank you!

Webassign night again! Homework Statement During normal conversation, the amplitude of a pressure wave is 0.023 Pa. (a) If the area of the eardrum is 0.56 cm2, what is the force on the eardrum? N (b) The mechanical advantage of the three bones in the middle ear is 1.5. If the force in...

If the momenta on the three external legs p(incoming fermion), p'(outgoing fermion) and p-p' (photon) of a vertex diagram are replaced by -p, -p' and p'-p respectively (i.e., all the external momenta are multiplied by -1) does the amplitude remain unchanged?

The tidal range of spring tides is about 3.2 m and tidal range of neap tides is about 1.8m, Assume the only tidal components are m2 and s2 tides. i.e 2 tides per day due to the sun and moon. Find the amplitude of these components and also find the maximum phase angle between the m2 tides and...

This is not a HW question but an activity i am working on. The attachment is a symbolic AM transmitter. The carrier is 15MHz and message frequency is 2Mhz. I want to sketch the waveforms labelling them in as much detail as possible. Also sketch the output waveform in both time and...

I guess I am just bored, but I was wondering why we assume light travels in a straight line and not treat it like a waveform as I was taught in school. As far as I can remember light waves each have a frequency. Why do we not take into calculation that it actually travels over a longer path...

Homework Statement A mass oscillating on a given spring has a period of 2s. The spring is now stretched to have an oscillation amplitude that is twice its original amplitude. Which of the following is true? A The period is 0.5 s. B The period is 1 s. C The period is 2 s. D The...

A Monochromatic source of light in a vacuum shines light into a block of glass. How does the amplitude of the light wave change once it is inside the glass and once it leaves the glass. I know that some energy (and hence amplitude) is lost by the light wave when it enters the glass due to slight...

If I was to turn up the treble knob on my stereo, is there any effect on the frequency or amplitude of the sound wave?

Homework Statement A mass-spring system has b/m = \omega_0/5 , where b is the damping constant and \omega_0 the natural frequency. How does its amplitude when driven at frequencies 10% above \omega_0 compare with its amplitude at \omega _0 ? How does its amplitude when driven at...

When a string, fixed at both ends, has a force exerted on it, how do you determine what the amplitude will be, if the tension, applied force, and length are known?

1. A string vibrates in its 3rd harmonic standing wave pattern. The mass and length of the string are given. Also given is the tension in the string and the transverse velocity of the string at the antinode located at x = Length/2 when the standing wave has no displacement at t = 0.00s M =...

Using the following o.d.e L\frac{d^2i}{dt^2}+R\frac{di}{dt}+\frac{1}{C}i=\frac{d}{dt}E(t) The following problem has several parts all of which I have solved except for the one below. L=1/20 R=5 C=4.10^{-4} \frac{dE}{dt}=200\cos100t Where L is an inductance in henries, R is a...

Homework Statement A simple harmonic oscillator has a frequency of 3.4 Hz. It is oscillating along x, where x(t) = A cos(ωt + δ). You are given the velocity at two moments: v(t=0) = 1.8 cm/s and v(t=.1) = -19.3 cm/s. 1)Calculate A. 2)Calculate δ. Homework Equations w= 2pi*f = 21.36 rad/s...

Electirc Field Amplitude Radiation Pattern?? Hi all, How can I calculate the field amplitude radiation pattern of an isotropic antenna? (for the transmitting and receiving case) thanks in advance

When we drag the bob at certen heightand relese it. It start's oscelation. and the the apmlitude of the vibration decreases with time. can anybody help me by giving the equation which tell the decrease in amplitude.

My scenario: LNA 433MHz signal (21dB) from antenna and the difference between the two signals with a 4.1dB gain. I would like to take the result of the difference amplifier an produce a DC value that is proportional to the output. Question 1: What type of circuit would lower the frequency...