I have seen so many questions and confusion about the difference between angular velocity/speed and angular frequency. Usually, answers were always given in the context of uniform circular motion (angular speed) and simple harmonic oscillation (angular frequency), but this is what causes the...
The context is an ac circuit with only one element - the inductor. My textbook says that the self-induced emf increases with increasing angular frequency, but I'm having trouble seeing this mathematically. If self-induced emf = ε = -L(dI/dt) and L = X/ω, then emf and ω are inversely related...
While studying S.H.M., I found that the term ##\omega## is used quite a lot. The book says that this ##\omega## is the angular frequency.
What is this angular frequency? Why do we use ##\omega## rather than ##\nu##, that is, the normal frequency? All equations in S.H.M. are made with ##\omega##...
One of the conditions to distinguish Simple Harmonic Motion from other harmonic motions is by the relation that
a∝x
where x is the displacement from the point that acceleration is directed towards
But what confuses me is the constant of proportionality introduced to this relation: ω2
ω is...
If a rigid link pin joint-fixed on ground and is rotating freely about the same point with uniform ang. vel., can we say the vector form of angular vel. (omega) is nothing but moment of the tangential (perpendicular) vel. at the other end?
Homework Statement
I want to find the angular frequency of the system below
Homework Equations
F = -kx
U = 1/2*k*x^2
The Attempt at a Solution
But here's the answer:
I dont know how come this solution. Any one help me? Thank you so much.
Homework Statement
Determine the angular frequency of the system in the image. The cable is ideal but the pulley is not. I will present the same solution but with different coordinate axes. For some reason they arent the same and neither of them are correct.
Given data: R is the radius of...
Homework Statement
A cylindrical bar magnet whose mass is 0.08 kg, diameter is 1 cm, length is 3 cm, and whose magnetic dipole moment is <5, 0, 0> A · m2 is suspended on a low-friction pivot in a region where external coils apply a magnetic field of <1.4,0,0> T
You rotate the bar magnet...
For example, the term angular frequency, it units is radian per second. For phase, it is also measured in radians or degrees, why is that? Why is the math the same when you use angles to describe oscillations?
1.Homework Statement
The wave function for a wave on a taunt string is:
y(x,t)=(0.350)(sin(10(π)(t)-3(pi)(x) +(π)/4)
where x and y are in meters and t is in seconds. If the linear mass density(μ) of the string is 75.0g/m, (a) what is tha average rate at which energy is transmitted along...
I am currently studying a course on waves, which has a real ambiguity in the lecture notes. Essentially, I don't know how the professor got from equation \ref{eq:surf_x-y} to equations \ref{eq:vel_u} and \ref{eq:vel_w}. I have tried to work backwards to find a method but am not sure of its...
Hi PF
I've beent rying to model the lunar orbit around the sun (cardioide) as a parametric function, but have run into a problem.
f(t) = r(t) :
x = a cos(ωt)
y = b sin(ωt)
z = k t
The angular frequency ω as well as the distance from to the center varies around the orbit.
Is...
Homework Statement
This is Problem 7.6 from Electronic Properties of Engineering Materials by Livingston.
"Over a wide range of frequencies, the dielectric constant of a polymer is found to be proportional to the inverse square root of frequency. (a) How does the phase velocity of EM-waves...
1. Say that an electron is heading towards the earth from the sun with an initial known velocity v. And we know that at earth's surface the magnetic field is given by B1. This B varies as (R1/R2)^2 where R1 is the radius of the earth. How can I find the location in space, R3/R1, where R3 is the...
1. There are 2 negatively charged plates opposite each other. In between them, there is a vacuum tube (50 cm long), containing only 1 electron. Assume it is completely isolated.
The charge value for the plates is equivalent to 10000 electrons.
Initially the single electron is directly in the...
Hey all,
This question may sound daft, but how do I normalize angular frequency? For a little background: I'm trying to optimize some circuits, and I've managed to write some successful code using the "Design of Ultra Wideband Antenna Matching Networks" book, but the code requires normalized...