Angular frequency Definition and 126 Threads

Hi all, I'm struggling with the concept of angular frequency in the context of sinusoidal waves. We describe sinusoidal waves with equations like y(x,t) = Asin(kx-\omega t) , where \omega is the angular frequency, yes? But what does this quantity physically represent? The rate at which...

This is my first post here. I hope I have found the correct place to do it. This is not actual coursework, but as it is this type of work, I am posting here per the guidelines. Homework Statement I am trying to solve for angular frequency for a given output voltage, so I am seeking to...

Hi pf, I have been looking at previous threads and internet sites and I am still a bit confused when you use the term angular frequency as oppose to angular velocity and vica versa. For example, if you are looking at the oscillation of a spring then the equation for the instantaneous...

Homework Statement Homework Equations Z_L = jωL Z_C = 1/(jωC) = -j/(ωC) The Attempt at a Solution This is my attempt for the series combination: Z = jωL + 1/(jωC) Z = j0.02ω - j20000/ω Is there a way to simplify this further? What would a graph look like, if the function...

Homework Statement An electron is constrained to the central axis of the ring of charge of radius R , Show that the electrostatic force exerted on the electron can cause it to oscillate through the center of the ring with an angular frequency ω = \sqrt{\frac{eq}{4π\epsilon_{0}mR^{3}}}...

Homework Statement Turntable at an angular speed of Wj. Consider it to be a thin solid cylinder of mass M and Radius R. A mass m nought falls and sticks to turntable at a distance r nought from center. a) Find new Inertia, I b) Find new Angular Frequency, W c) Coefficient of static...

Homework Statement A mass moves along the x-axis with potential energy U(x)= - U0 a^2 / (a^2 + x^2). What is the angular frequency assuming the oscillation is small enough to be harmonic? Homework Equations w^2 = k/m with w as the angular frequency F= -kx = -(gradient) U...

Quote from 'The Physics of Vibrations and Waves by H.J.Pain': "However when we solve the equation of motion we shall find that the behaviour of x with time has a sinusoidal or cosinusoidal dependence, and it will prove more appropriate to consider not \nu, but the angular frequency \omega =...

Homework Statement A 0.65-kg mass is hanging from a spring with spring constant 15 N/m. Then the mass is displaced from the equilibrium by 2 cm and let go. Homework Equations angular frequency:ω=2∏/T The Attempt at a Solution I found T: 2∏sqrtm/k, 2∏sqrt0.02/15N/m= 0.229429488s...

Homework Statement How does a simple pendulum have a constant ω if it's velocity changes?Homework Equations (1) v=ωR (2) \omega=\stackrel{\sqrt{l}}{\sqrt{g}} The Attempt at a Solution Very confused about this. The pendulum bob is at a fixed distance from where it's attached (i.e R is...

Hello, I am wondering, what is the physical interpretation of the angular frequency of AC voltage? I don't see the physicality of what the angle for which there is a frequency? I understand that the voltage can switch back and forth at a certain rate, which jives in my mind with the idea...

Homework Statement If period of simple harmonic graph of electric current goes down by 20%, how will change the angular frequency? Will it increase by 25π%? 25%? 50%?... Homework Equations T = 2π/ω The Attempt at a Solution So by going down by 20%, so 100%-20%, I have...

In classical mechanics, is the angular frequency of a rotating object, planetary system etc. the same as viewed from any inertial reference frame?

this is another conceptual question, so sorry for not following the template. I thought that angular frequency and angular velocity shouldn't be the same thing, but after going through some of the forum threads, there was the idea: "the only difference between angular frequency and angular...

Homework Statement A particle of mass m and charge -q moves in a circular orbit of radius R about a fixed charge Q. The angular frequency for the orbit is given by \omega_0^2 = \frac{qQ}{4 \pi \epsilon_0 m R^3} A uniform magnetic field of magnitude B in a direction perpendicular to the plane...

It isn't making any intuitive sense. If it isn't moving in circular motion, how can it have angular frequency or speed? Also, v=\pm ω\sqrt { A^{ 2 }-x^{ 2 } } only applies to SHM with springs only, right? Also, does anyone know how to derive this equation below? x=\frac { \pm \sqrt { { { v...

1. What is the angular frequency of a damped oscillator whose spring stiffness is 15 cm with a 19.6 N mass and a damping constant of 15 kg/s? 2. ω0 = √(k/m) ----where k = spring constant and m=mass ζ= c/(2√(mk)) -----where m = mass, k = spring constant, and c = damping constant...

Homework Statement Esphere of radious R which oscilates inside a cylinder of radious 5R. Calculate the angular frequency for small oscilations. Homework Equations The Attempt at a Solution I hate Newton to solve SHM problems where weight is acting so I opted for energy but I cannot find out...

Homework Statement A rod of length L and mass M can rotate respect to an articulation fixed to the wall. The other extreme of the rod is attached to a spring of constant k. When the system is in equilibrium the rod keeps horizontal. Find the angular frequency for small oscilations respect to...

Does changing the angular frequency change the amplitude of a forced oscillation? If so, I don't understand how that can be. I guess that the angular frequency is based only on the springs and dampers? So assuming those are the same then the angular frequency will always be the same? Are...

I want to treat this from a purely classical stance, ignoring all quantum and relativistic effects. If a body is undergoing centripetal acceleration, is the magnitude of the centripetal force absolute? If so, is its angular frequency also absolute?

Hey! I've been studying AC circuit theory for a while now and there's always been something that's been bothering me. When using the complex impedance method to determine phase differences between current and voltage (and vice versa) we calculate the angular frequency in radians/seconds (omega...

Homework Statement A mass M is suspended from the ceiling by a spring with spring constant k, and from the floor by a spring with spring constant 3k. Find the frequency of the mass' oscillation. Homework Equations F=ma The Attempt at a Solution F(net) = Mg + kx - 3kx = Mg - 2kx performing...

Homework Statement Alright so I've got a potential energy equation U(x) = E/β^4(x^4+4βx^3-8(β^2)x^2) and U'(x) = E/β^4[4(x^3) + 12β(x^2) - 16(β^2)x] (where β and E are constants) that describes a particle of mass m which is oscillating in an energy well. I solved for where the system has...

Homework Statement A voltage Δv = (120 V) sin ωt (in SI units) is applied across a series combination of a 2.13 H inductor, a 12.8 μF capacitor, and a 15.0 Ω resistor. a) Determine the angular frequency, ω0 at which the power delivered to the resistor is a maximum. = 192 b) Calculate the...

Homework Statement A physical pendulum consists of a small 1.5kg mass at the bottom end of a uniform 1.00m long 1.5kg stick swinging about its upper end. The moment of inertia of the pendulum about its upper end is 2.00kg*m^2. What is the angular frequencyHomework Equations sqrt(mgd/I)=w I...

Homework Statement Derive the angular frequency equation (ω=√(g/L) from following equations: Homework Equations 1) ((d^2)*θ)/(d*t^2)= (-g/L)*θ 2) θ=θmaxcos(ωt+δ) The Attempt at a Solution I don't even know where to start

Homework Statement Two identical objects of mass m are placed at either end of a spring of spring constant k and the whole system is placed on a horizontal frictionless surface. At what angular frequency ω does the system oscillate? Homework Equations ω=√(k/m) The Attempt at a...

Homework Statement A mercury is filled to a U-pipe so that the total length of the mercury is h (no figure given on the question). If the mercury column of one leg of the pipe is pushed then released, the mercury will oscillate with small amplitude. The angular frequency is a...

Homework Statement I am asked to derive the equation for angular frequency: \omega=(2\pi/T) =2\pif Homework Equations X(t)=XCos(\omegat +\phi) The Attempt at a Solution Here's my attempt. I am following Halliday Resnick, but I don't understand the logic. Given that \phi=0, and...

Hi everyone, I need to calculate the Angular frequency based on the input angular speed. I'm thinking the formula would be Angular Speed, ω = 2∏f => Angular Frequency, f = ω/2∏ = ω/360° so, does the formula "f = ω/360°" will give me correct solution. Kindly guide me please.

Homework Statement I'm trying to caluclate the angular freequency, given that I've only been given various values for the problem. Radius 2.0 m, Force applied for 5 s = 94 N. 4 objects each at 90°, each weighing 19kg, and at 1.9m from the axis. From this, I've calulated the values of...

Homework Statement The physical pendulum shown on your paper is a 27.0 kg wedge of a circular disk of uniform density with radius, R=1.87 m and opening angle β=0.847 radians. The pivot point of the pendulum can be moved along the center line of the wedge as shown on your paper...

While discussing ω^{'}, the angular frequency of a damped harmonic oscillator, given by: ω^{'}=\sqrt{\frac{k}{m}-\frac{b^{2}}{4m^{2}}} where k is the "springiness", m is the mass, and b is the damping constant, my book, Halliday, Resnick and Walker, says if b is small but not...

Homework Statement I'm trying to derive an expression for the angular frequency of a set of springs hanging vertically down with masses in between them. 3 cases: 2 equal masses and springs. 2 different masses and equal springs 3 equal masses and springs Homework Equations ω0=√(k/m)...

For the equation, angular frequency =(2)(pi)(resonance frequency)= 1/square root (LC), can this also be used when a circuit is not at resonance frequency? Thanks

Homework Statement Im somewhat unsure of what the result i have derived is exactly. I know the angular frequency should be \omega = \sqrt{\frac{k}{m} - \frac{{b}^{2}}{4{m}^{2}}} The Attempt at a Solution m\frac{{d}^{2}x}{d{t}^{2}} = -kx -b\frac{dx}{dt} Sub in \omega =...

Homework Statement Please see the attached picture. I need help finding the angular frequency. The answer is 1571 but I don't know how they arrived at the solution. From the picture it looks like the period is 2pi but this would give an angular freq. of 1. Homework Equations...

Homework Statement A uniform sphere of radius a is placed at the lowest point of a fixed thin hemispherical bowl of radius b > a. The sphere is the slightly displaced and released with zero initial velocity such that it rolls without slipping on the inner surface of the bowl. By...

Homework Statement A body A weighing 22N is positioned on the end of a slender horizontal cantilever fixed at one end (mass of the plank is negligible). A force (vertically downwards) on A causes a deflection of 12.5mm. The natural angular frequency in rad/s of the body A is (nearly) ? 1)2...

a disk (radius R = 1.0 m, mass = 2.0 kg) is suspended from a pivot a distance d = 0.25 m above its center of mass. The angular frequency (in rad/s) for small oscillations is approximately? t=-k(theta) w=(k/I)^1/2 unsure what the equation is for I?I don't know how to use the given values to...

How is this expression for angular frequency in an L.C.R. circuit derived- w = (1/LC - R2/4L2)1/2 (I came across this while solving a problem)

This is an example from the book and it is not a homework. There is one part of the step I just don't get. This is the question on page 236 of Griffiths "Introduction to Electrodynamics": Example 5.11 A spherical shell, of radius R, carrying a uniform surface charge \rho , is set spinning...

help me out guys i have a test on Wednesday, and I am stuck on a problem, it seems I am supposed to solve for angular frequency w but I am getting a 4th power equation for it which is unsolvable a 10k ohm resistor and a 100uF capacitor are in parallel, determine the angular frequency w where...

Homework Statement Hi all, I am a bit confused about angular frequency, specifically in the case of a pendulum (bob pendulum or physical pendulum). Also, what's the difference between angular frequency and angular velocity? Homework Equations I understand that a physical pendulum is...

Homework Statement I need to calculate the frequency, angular frequency and period of sinusoidal vibrations in simple harmonic motion. The acceleration amplitude is 10g (98.1m s-2) and the vibration amplitude is 2cmHomework Equations The equation I have for frequency is f=(√(a/A))/2*pi where a...

Hello, I have some doubts in the following problem of a transformer, specially on parts 2 and 4. I would be very grateful if someone could please give me any ideas specially about those parts... Homework Statement The Attempt at a Solution 1) Applying KVL in each mesh...

Here's my question: say a car with x kinetic energy crashes into a spring so that the elastic potential energy becomes x. During the process, the spring compresses a distance of 9.13 meters. How do I find the time it takes for the spring to compress that distance (what information will I...

Homework Statement The relative motion of two atoms in a molecule can be described as the motion of a single body of mass m = 3 x 10-26 kg moving in one dimension, with a potential energy given by the equation U(r)=(A/(r^12))-(B/(r^12)) n this equation A = 10^10 J m^12 and B = 10^20 J m^6 are...

My question is that I am asked to find the angular frequency of a spring-mass system. I am given the damping constant, the mass of the object at the end of the spring, the mass of the spring, and the spring constant. I know that angular frequency equals the square root of the spring constant...