Amplitude Definition and 825 Threads

Hello, We learned in class that for a simple harmonic damped forced oscillation, the amplitude decreased exponentially over time. And for a completely undamped situation, the amplitude grows uncontrollably when the driver frequency matches the natural frequency of the driven. However, I wonder...

Like every wave, light has a frequency and an amplitude. So far, I know that the frequency equals to the photon energy and the amplitude to the amount of photons. My question is: how big is that amplitude and does it matter? Thanks for every reply :wink:

Homework Statement 5. In the spectacular sport of bungee jumping,, a light elastic cord (a bungee cord) is tied tightly around the ankles of someone who jumps from a bridge of height H to which the other end of the cord is attached. The length of the cord is calculated so that the jumper, of...

Homework Statement Let \begin{equation*} f(t) = 2 + \cos\left( 3t - \frac{\pi}{6} \right) + \frac{1}{4}\cos\left( \frac{1}{2}t + \frac{\pi}{3} \right) + \sin^2(t) \end{equation*} Determine the period ##T## and fundamental frequency ##\omega_0## of ##f## and draw images of its amplitude and...

If we look at the graph of sin2x, well its Time Period is pi, and amplitude is same as that of sinx. But if we expand sin2x as 2sinxcosx, rewriting it as 2cosxsinx. According to the Physics in SHM, Wave Motion, whatever is infront of sinx is called as Amplitude. Now, y = 2cosxsinx = Asinx, then...

I'm reading the path integral chapter of Schwartz's "Quantum Field theory and the Standard model". Something seems wrong! He starts by putting complete sets of states(field eigenstates) in between the vacuum to vacuum amplitude: ## \displaystyle \langle 0;t_f|0;t_i \rangle=\int D\Phi_1(x)\dots...

Homework Statement A mass of 2.0 kg hangs from a spring with a force constant of 50 N/m. An oscillating force F = (4.8 N) cos[(3.0 rad/s)t] is applied to the mass. What is the amplitude of the resulting oscillations? Neglect damping. Answer: 0.15 m Homework Equations F=kx , the mass only...

Problem we are looking at :A laser beam has diameter 1.30 mm . The beam exerts a force of 3.7×10−9 N on a totally reflecting surface. What is the amplitude of the electric field of the electromagnetic radiation in this beam? (Emax) Relevant Formulas...etc.: I have the formula...

Homework Statement Two superimposing waves are represented by equations y1= 2sin 2π(10t – 0.4x) y2= 4sin 2π(20t – 0.8x) Find the ratio of Imax and Imin. Ans is (25:9) Homework EquationsThe Attempt at a Solution I know that intensity is proportional to the square of amplitude and maximum...

Hi all! How can I set up the amplitude of a wien bridge oscillator made like this? Let's suppose that the bottom resistances are (from top to bottom) R1, R2 and R3. We know that for oscillations to start and converge we need: R1 / R3 > 2 (let's suppose 2.2) (R1 || R2) / R3 < 2 (let's...

for (int n = 0; n < 52920; n++){ F = Amplitude * sin(2 *pi*n* Frequency/44100) ; } what are the units of Amplitude ? I know Frequency is in Hz also what are the unit of F?

Please read this Insight here: https://www.physicsforums.com/insights/quantum-amplitudes-probabilities-epr/

Homework Statement A cheerleader waves her pom-pom in SHM with an amplitude of 17.3 cm and a frequency of 0.830 Hz . Find the maximum magnitude of the velocity.Homework Equations v = -w Asin(ωt+Φ) = -wx or Conservation of Energy: 1/2kx2 + 1/2mv2 = 1/2kA2 The Attempt at a Solution I tried v =...

Homework Statement Hi, For the Young double slit experiment, say I have a plane wavefront approaching the double slit; now, if I halve the width of one of my slits, will the amplitude of the light exiting that slit be halved as well? Homework Equations None directly relevant I know of, but...

Hello all, First of all, let me say that I am aware that a higher amplitude doesn't translate into a higher frequency. However, my understanding of how for example a string vibrates makes me draw other conclusions. From what I understand, hitting a string with a particular force makes the...

consider horizontal cylinder in which piston is performing simple harmonic motion.Is the amplitude of piston is equal to displacement amplitude of elemnts pf medium i.e air in the cylinder.

I was wondering how the energy and amplitude change over a distance

Hey everyone I'd be really grateful if anyone could help me out here, been going round in circles for two weeks now and I need to get going soon. Jumping right to the point, here's my problem: We are currently working on a student project and designing a Wind Turbine for future opensource use...

not sure if this is dumb question but I was reading something about "beats" and saw some similarities with AM so I got to a conclusion if you have just two waves (same phase) with similar frequencies etc. sin(x)+sin(1.1x) you can maintain AM or...not? if not, why not? if yes than why do we need...

I tried to come up with a simple calculus-free explanation for why the energy in a sound wave is proportional to the square of the wave's amplitude for my musical acoustics class. I think this makes sense, and seems to just be an elaboration of what Donald Hall writes, but I haven't seen it...

Homework Statement A mass "m" is attached to a spring of constant "k" and is observed to have an amplitude "A" speed of "v0" as it passes through the origin. a) What is the angular frequency of the motion in terms of "A" and "v0"? b) Suppose the system is adjusted so that the mass has speed...

So the question looks like this: Identify the time and/or amplitude transformations that must be applied to the signal x(t) in order to obtain each of the signal specified below. Choose the transformations such that time shifting precedes time scaling and amplitude scaling precedes amplitude...

Homework Statement At t = 0 seconds, the position of the oscillator is found to be -27.33 cm and the velocity of the oscillator is +0.744 m/s. What is the amplitude of the oscillation?[/B]Homework Equations position/time equation for oscillation: x(t) = Acos(wt + phi ) for velocity: v(t)...

Homework Statement For my lab class my professor wants us to graph the theoretical amplitude of the output from a low-pass filter vs. frequency. I have the resistance and capacitance that I chose for the RC circuit and a V(in). Is there an equation that I should be able to use to relate these...

The equation for large-angle pendulum can be infinitely long. What is the pattern with the latter numbers in "..."?

Hi everyone. I am tasked with amplifying an input voltage of around 1nA at anywhere between 10,000kHz to 1MHz to a sufficient amount. We've been using op-amps in multiple stages in series to amplify the signal. At our disposal we have a function generator, oscilloscope, breadboard and...

Homework Statement An automobile with a mass of 1000 kg, including passengers, settles 1.0 cm closer to the road for every additional 100 kg of passengers. It is driven with a constant horizontal component of speed 20 km/h over a washboard road with sinusoidal bumps. The amplitude and...

I am studying about SHM but I don't know how to find an amplitude,velocity,acceralation of motio. I know the formula but I don't understand where it came from x = Asin(omega(t))

I have a question regarding transient vibration data I received that was processed into a peak-hold equivalent amplitude (units = g). I have come across peak-hold before which is a type of "averaging" that retains the highest values from each estimate in random vibration overlap processing and...

I collected data on a periodic mechanical motion. The amplitude is damped linearly. What mathematical function models linear amplitude decay. All I can find is exponential decay of a sine wave.

Homework Statement A sinusoidal wave is propagating along a stretched string that lies along the x-axis. The displacement of the string as a function of time is graphed in the figure (attachment) for particles at x=0m and x=0.0900m. (A) What is the amplitude of the wave? 4mm (B) What is the...

Hey I got a little imaginary experiment which is little bit confusing to me. Maybe somebody with knowledge in signal transmitting or just good knowledge of physics can help me out. So let's say there are two parallel conductors which length is endless and resistance is zero (no losses and...

Homework Statement Two infinite ropes, rope 1 and rope 2, of same linear density ##\mu=0.1 kg/m## have the same tension ##T=100N## and lie on the same plane, one perpendicular to the other. The two ropes are connected in the origin. On one of the two branches of rope 1 an harmonic wave is...

I'm facing some difficulties in using "boundary conditions" in a simple wavefunction. The wavefunction I'm considering is $$\xi(x,t)=A sin (k x \pm \omega t +\psi)$$ The minus or plus are for progressive or regressive waves. The indipendent parameters are 4: ##A##, ##k##, ##\omega##, ##\psi##...

Homework Statement A mass of 120g rolls down a frictionless hill reaching a speed of 4.2 m/s and collides with another mass 3.00g attached to a spring of constant 30 N/m. The two masses stick together and enter into periodic motion. What is the equation for the motion? Homework Equations...

Homework Statement A little amount of sand is spilt over horizontal membrane that oscillates with frequency f=500Hz in vertical plane. If sand grains are jumping to the height h=3mm with respect to the equilibrium position, find amplitude of oscillation of membrane. Homework Equations ω=2πf...

Hello everybody, I'm a little bit confused about two types of amplitude modulation. We distinguish here: Case I : Amplitude Modulation with suppressed carrier (https://en.wikipedia.org/wiki/Double-sideband_suppressed-carrier_transmission): Case II : Amplitude modulation with carrier: Now...

Hello, I'm trying to understand how can I compute a phase graph from diffraction. I will follow here Fourier transform formalism of finding the light distribution on screen after diffraction. I'm considering a 1D problem. Suppose I have a single slit of width a. This slit can be mathematically...

Homework Statement A block with mass m which is on a slippery floor is attached to a spring with spring constant k. Another block which mass is also m approach and then hit the first block with velocity v as shown in the figure. After the collision, both blocks stick together and together...

1) I am studying modulation of carrier waves, but I still can't understand something: knowing that in AM the carrier wave has only one frequency and just only its amplitudes vary according to variations in modulating signal amplitudes, why AM carrier waves have bandwidth if the frequency is...

Electromagnetic waves can be classically described by Maxwell's equations. Photons can be described by probability waves.In this case, what is the relationship between the electric field and the probability amplitude? Are they directly proportional to each other? What about the fact that one...

Homework Statement How is the amplitude of a wave affected if the slit separation remains same but slit width is 1.)Increased? 2.)Decreased? and why? Homework Equations Intensity is proportional to the square of amplitude The Attempt at a Solution I consider the amplitude as allowed...

I understand that this determines a probability, but of what exactly for a single photon? The probability that the photon will be detected on a surface where the photon is pumped, e.g. where on the surface the laser is aimed?

I am trying to solve the problem 4.8 found http://phys.csuchico.edu/ayars/312/Handouts/comp-phys-python.pdf at pdf's page 115-6 [book's page 107-8]. My code so far is: from mytools import rungekuta4 from pylab import * #set globals G=9.81 MASS=1.0 K=42.0 MU=0.15 A=1. OMEGA=0.01 #set diff...

Hi, Today I was told that phase and amplitude on the screen in a far field of a mask consisting of hole are more or less the same. So, I wanted to check myself, but didn't find any resource for this. All the resources are, as usual, talk about intensity distribution in the Fourier domain, but...

Homework Statement A string vibrates at its third-harmonic frequency. The displacement at a point 59.0cm from one end is the first time the displacement is half the maximum amplitude. How long is the string? Homework Equations wavelength=(2(rope length))/nodes y=Asin(kx) k=2pi/wavelength...

Hi. I need help with a quick concept. So there is a string hanging vertically making the bottom of the spring its equilibrium point. A mass is added on it creating an amplitude. If I were to pull down on the mass and let it oscillate passing its original equilibrium point, does that mean a...

Homework Statement Prove that the states $$|z, \alpha \rangle = \hat S(z)\hat D(\alpha) | 0 \rangle $$ $$|\alpha, z \rangle = \hat D(\alpha) \hat S(z)| 0 \rangle $$ are eigenvectors of the squeezed amplitude operator $$ \hat b = \hat S(z) \hat a \hat S ^\dagger (z) = \mu \hat a + \nu \hat a...

Homework Statement A circular uniform laser beam has a power of P = 3.2 mW and a diameter of d = 8.5 mm. The beam is a form of electromagnetic raditation with both electric and magnetic field components. (a) Calculate the intensity of the beam in units of W/m^2 (b) Calculate the energy (delta...

Why does loudness of sound vary as square of amplitude? Why not cube of amplitude or just amplitude?