Angular frequency Definition and 127 Threads

i am trying to work this out from a very confusing book what would the effect on angular frequency be by increasing mass increasing amplitude of vibration increasing spring stiffness increasing phase lag need to get this in my head before attemping to work out questions

Homework Statement I am trying to find the angular frequency of an electromagnetic wave given a general wave equation in standard form Esin(kx-wt) I am given the variable k, and i need to find the angular frequency w. I am not sure how to do this without finding the period, which i can't...

I am doing some practice and need help with a problem, I am trying to find the angular frequency of an electromagnetic wave given a general wave equation in standard form Esin(kx-wt) I am given the variable k,, and i need to find the angular frequency w. I am not sure how to do this without...

Homework Statement Consider a system of one generalized coordinate theta, having the following Lagrangian equation of motion: r and b are constants m is mass (1/3)mb^{2}\ddot{\theta} = r(r+b)\theta + r^{2}\theta^{3} + gr\theta And this potential energy (if it matters): U = mg(r+b)...

A uniform plank of mass 2.0kg and length 1.0m is pivoted at one end in a horizontal plane. It is supported at the other end by a spring with k = 1000 N/m . What is the angular frequency of small oscillations? It m may interest you to know that the moment of inertia of a uniform rod about its...

Homework Statement im doing a sipnnig top question and i have got an answer for the precession angular velocity this site shows a good example of what i did: http://hyperphysics.phy-astr.gsu.edu/hbase/top.html and so i have gr/K2w if i sub in I=mK2 but i need to find the angular...

1. Consider an oscillating system of mass m and natural angular frequency omega_n. When the system is subjected to a periodic external (driving) force, whose maximum value is F_max and angular frequency is omega_d, the amplitude of the driven oscillations is A=\frac{F_{\rm...

Homework Statement Show that in classical mechanics, for circular motion, in an arbitrary central potential V (r), one has w = dE/dL where E is the energy, L is the angular momentum, and w is the angular frequency of motion around the orbit. This is the basis for a problem on...

Hi everyone new here and hope i have put this in the right place? If anyone could help me with this question i would be very grateful. The value w(angular frequancy) is introduced into the analysis of simple harmonic motion A) Because the unit of hz is not a convenient unit for frequancy B)...

Homework Statement Now, I've learned that the time period of a spring mass system having spring constant k and mass m is 2 \pi (m/k)^1/2. What is actually the angular frequency of a vertical spring mass system. It is executing one-dimensional motion, how does it have angular frequency...

Homework Statement Given: angular frequency=2000pi phase velocity=320m/s period=? unknown Homework Equations f=w/2pi; w=omega. T=1/f. phase velocity = lambda/T The Attempt at a Solution i don't know what the sgnificance of the phase velocity is. this is because from 1/T = w/2pi, i...

Homework Statement If provided only the spring constant K and the mass of an object undergoing simple harmonic motion how do you find the amplitude? Homework Equations Angular Frequency = sqrt (k/m) Period = 1/t The Attempt at a Solution Using the two equations above you can derive...

By the de Broglie relations: E = \hbar * \omega Is the angular frequency (\omega) in this equation an average or is it a constant? In other words, does the angular frequency (or the wavenumber, k) for a matter particle change, for instance, in differing gravitational fields, such as we see...

Homework Statement A 60-coil spring has a spring constant of 434 N/m. It is cut into two shorter springs, each of which has 30 coils. One end of a 30-coil spring is attached to a wall. An object of mass 45.1 kg is attached to the other end of the spring, and the system is set into horizontal...

First: the Earth rotates with angular frequency w, with the rotation vector in the z direction. it is then useful to define a local coordinate system i', j', k' fixed on the Earth's surface (i.e. a cartesian coordinate system for us in our point of view on the surface of the earth) then to...

Homework Statement At a certain angular frequency, the phase difference between U_{2} and U_{1} is 180^{\circ}. a) Calculate this angular frequency b) Calculate U_{2} at this angular frequency See the attachment for circuit configuration. Homework Equations Ohms law: U = Z \cdot I...

Homework Statement Derive the equation for angular frequency for simple harmonic motion of a spring. Homework Equations Derive omega = sqrt(k/m) from F = -kx (sorry i don't know how to use notation) The Attempt at a Solution I asked my teacher how to do this, and he used some...

Both angular frequency in Simple Harmonic Motion and angular velocity in Rotational Motion are given the same symbol, "omega" (w). I was wondering if these two values are equivalent. For instance, if there was a cylinder attached to spring and rolling down a ramp, would the angular frequency of...

Homework Statement A uniform disk of radius 1.4m and mass 2.6kg is suspended from a pivot 0.35m above its center of mass. Find the angular frequency w for small oscillations. Homework Equations w = 2 x pi x f = sqrt (k/m) The Attempt at a Solution Is this the equation I would...

Homework Statement what is the difference between angular velocity and angular frequency? Homework Equations The Attempt at a Solution

https://www.physicsforums.com/showthread.php?p=846415 Can anyone explain this a little bit more? I found these 2 formulas. \tau=-k \theta How do I relate \theta with m, R, r & k? (In my problem I am not working with numbers, i need to find an expression for angular frequency in terms...

Is there a descriptive term for an angular frequency that is always equal to 2Pi, differing only by a tens multiple or division? Equivalently, is there a descriptive term for the wavelength associated with the above value. Dividing any tens multiple or division of 2Pi into the speed of light...

A mass m is suspended vertically by a spring of force constant k. Derive the relation \omega \geq \sqrt{\frac{k}{m}} where \omega is the (angular) frequency of oscillation. The only way I know to do this is to solve the differential equation \ddot{y} + \frac{k}{m}y = 0 using y = A\cos(\omega t +...

A mass spring with natural angular frequency w= 3.6rad/s is placed in an environment where there is a damping force proportional to its speed. If the amplitude is reduced to 0.35 times its initial value in 12.9 s, what is the angular frequency of the dampin motion? Can anyone help out with an...

How is the formula for angular derived? \omega=\sqrt{\frac{g}{L}} my book has these equations: F= -mg sin\theta = m \frac{d^2s}{dt^2} \frac{d^2 \theta}{dt^2}=-\frac{g}{L}sin\theta \frac{d^2 \theta}{dt^2}=-\frac{g}{L}\theta \omega=\sqrt{\frac{g}{L}} what exactly is m...

16. A cord can support a maximum tension of 1.0 * 10^4N before it breaks. The cord is used to swing a 15-kg stone in a circular path of radius 1.0 m over an icy surface. What cord tension is necessary as a function of angular frequency? What is the maximum angular frequency such that the...

pi = 3.14159... angular frequency = 2(pi)f theta [in radians] = 2(pi)f t t = theta / 2(pi)f For theta = 0, t = 0 For theta = 2(pi), t = 1/f If 0 =< theta <= 2(pi) Then 0 =< t <= 1/f [I'm not sure if the notation above is correct.] Is the foregoing true for any frequency? For...