Frequency is the number of occurrences of a repeating event per unit of time. It is also occasionally referred to as temporal frequency to emphasize the contrast to spatial frequency, and ordinary frequency to emphasize the contrast to angular frequency. Frequency is measured in hertz (Hz) which is equal to one event per second. The period is the duration of time of one cycle in a repeating event, so the period is the reciprocal of the frequency. For example: if a newborn baby's heart beats at a frequency of 120 times a minute (2 hertz), its period, T—the time interval between beats—is half a second (60 seconds divided by 120 beats). Frequency is an important parameter used in science and engineering to specify the rate of oscillatory and vibratory phenomena, such as mechanical vibrations, audio signals (sound), radio waves, and light.
I got that the sound wave will take 0.3s between the student and the left wall. It takes 0.5s between the student and the right wall. The first time these waves will coincide is 1.5s (5 trips for left side and 3 for right side). I then did 1/1.5 to get 0.67Hz. However, the answer is 6.67Hz. I'm...
Summary:: Two speakers A and B are at rest, and a listener L stays on the line that connects the two speakers (see picture). The speakers have almost the same frequency. Assume that the speed of sound in air is 340 m/s. When the listener is at rest, he/she hears beats with frequency 6 Hz. The...
Question:
For frequency shift key modulation in the binary case, how are the two carrier frequencies chosen?
From online reading, I have seen that the carriers are chosen to be different but also with the goal of minimising bandwidth and without any overlaps of the spectra, etc.
However, I...
a photon have defined frequency , but we treat it as a localized particle ,how that can be?
if i am looking at second quantisation, photons are modes of the electromagnetic field , and they are not localized at all , but we do know that photons are somewhat localized , like in the...
If there is a luminosity per unit wavelength defined as L_λ dλ, am I correct in thinking that the conversion to luminosity per unit frequency (L_ν) would be L_ν = L_λ (λ^2/c)?
And building off of that, if the shape of a spectrum was proportional to a power-law: L_λ = λ^(β), is there a way to...
How can a photon have a frequency? Anything moving at the speed of light is predicted to have a zero time rate, e.g. the frequency of a ticking clock would be zero. So no aspect of the light should change along its path - in the same way that no aspect of the moving clock would change.
If...
$$\textbf{F} \cdot d\textbf{l}=q(\textbf{E}+\textbf{v} \times \textbf{B})\cdot \textbf{v} dt$$
If we denote $$q=\rho d \tau$$ and $$\rho \textbf{v}=\textbf{J}$$
$$\frac{dW}{dt}=\int_{V} (\textbf{E} \cdot \textbf{J}) d \tau.$$
From maxwell law's
$$\textbf{E} \cdot \textbf{J}=\frac{1}{\mu _0}...
My attempts were these,
a) 2.0% / cycle * 25 cycles = 50%
So, I got half of the first amplitude which is 0.5 m (seems not right though...)
b) w=2pi/T , so put 0.5 at T, I got w=12.6 cycle/sec
12.6 cycle / sec * 6.3 sec = 79.2 cycles and it is obviously not right to me...
May I get...
Apologies for the noob question.
The frequency of the human body can be calculated based on weins law as follows:
Wavelength = 0.002898/310 = 0.00000934838 m
Plugging this into the equation λν = c we get
frequency = 299792458 / 0.00000934838 = 32069 Ghz
Elsewhere, I see that the resonant...
My thought process was this,
They are asking us to find the frequency of sound received by observer when the source reaches at origin. According to me when the source reaches origin there would be no component of source's velocity in the direction of observer, hence vs=0
vo=0 since the observer...
for a) I have ##v = \lambda f= \frac{\omega \lambda}{2 \pi}##
for c) and d) I denote ##\frac{2\pi}{\lambda_1} = k_1## and ##\frac{2\pi}{\lambda_2} = k_2## assuming ##k_1 > k_2##.
so using the triangular identity I got $$y_1 + y_2 = 2A cos(\frac{k_1+k_2}{2} x - \frac{\omega_1 + \omega_2}{2} t)...
I was wondering about EM waves produced by linearly accelerating charges, as opposed to oscillating charges.
With oscillating charges, the frequency of the wave depends on the frequency of the oscillation of the charge. But what determines the frequency of the wave produced by a linearly...
I understand that electrons of a material have a natural frequency of vibration and the refractive index results from the phase difference between the incident light's field oscillations and the field oscillations of these electrons...
Hi all
I am doing some research on High Frequency Linear Array beam forming (for imaging sonar). For that purpose, a linear Rx Array of 100 channels have been constructed with inter channel spacing of 14.3mm. A transmitting Tx probe operating at 420 KHz (approx. 300 cycles CW pulse) is placed...
If a voltage source is sinusoidal, then we can introduce a phasor map and come up with equations like$$V_0 e^{i \omega t} = I(R + i\omega L + \frac{1}{\omega C} i)$$where ##I## would also differ from ##V## by a complex phase.
But if you set ##\omega = 0##, which would appear to correspond to...
I just noticed something that is a little bit of a different perspective on a mass-on-spring (horizontal) simple (so undamped) oscillator's frequency and looking for some intuition on it.
There are many ways to derive that for a mass on a horizontal frictionless surface on a spring with spring...
Hi PF!
Here's an ODE (for now let's not worry about the solutions, as A LOT of preceding work went into reducing the PDEs and BCs to this BVP):
$$\lambda^2\phi-0.1 i\lambda\phi''-\phi'''=0$$ which admits analytic eigenvalues
$$\lambda =-2.47433 + 0.17337 I, 2.47433 + 0.17337 I, -10.5087 +...
This problem came from Problems, Section 3 Chapter 7 in ML Boas, Mathematical Methods in Physical Sciences. Boas suggested to make a computer plot. From my computer plot (I use online graphing calculator) and find that the period of the sum is 2.
Instead of using computer, I want to find the...
Hello all,
We might have observed that by tightening a string of a musical instrument, the natural frequency of the string changes. But I can not describe this phenomenon by the theory of linear elasticity. Also if we simulate the vibration of a bar with the help of structural software tools...
Can anyone help me find what is wrong in this circuit? given, slew rate of the op amp is 400V/us and max output current for opamp is 40mA but the opamp is lm741.
Hi,
I was trying to see how the frequency equation for a tuning fork is derived. It looks like it's based on the equation of cantilevered beam. In other words, I'd say that historically the equation for a tuning fork was derived somewhat in a similar fashion as was done for a cantilevered beam...
Hello! I am really new to this field, so I am sorry if my questions is silly or missing some parts. Please correct me if that is so. I am a bit confused about how well we can extract the value of a transition, say from ground to an excited state, of an atom (let's assume we can ignore any other...
How do we explain resonance of a complex system (say a bridge) at the atomic level? What's happening to its molecules when it's oscillating at resonance, and does that have anything to do with the frequency at which the molecules oscillate in the material?
I've been reading about faraday cages. The way I see, it works because the condutor will separate the charges so that the eletric charge inside is 0.
Then I saw a lecture in which the professor was carrying a radio and the signal stopped as soon as he entered the cage however we were still able...
I have general equation for undamped forced oscillations (no friction) which is:
I just wonder about,what type of motion should occur when initial conditions are both 0 (i.e v0=0 and x0=0). My intuitive expectation is that as there is no 'natural' oscillations at beginning,vibration has to be...
Greetings,
I'm confused about calculating frequency of sin(x) function.
Applying basic equations I get this:
T= 2pi
f = 1/T = 1/(2pi) = 1/6.28 = 0.15923 Hz
I know it's wrong, but what am I missing?
Also, how can the period be in radians, I always thought that T should be in seconds.
Here is the diagram of the problem:
and here is the answer of the question:
What I don't understand is equation 1 and 2.
The Hook's law states that F = -k(change in x)
Why the change in x1 equals to x1-x2+l? x1-x2 equals to the length of the compressed spring. I cannot convince myself that...
i. the threshold frequency;
3.9x10^14hz? it appears the line intersects at 3.9ii. the work function of the surface;
6.626x10^-34x3.9x10^14= 2.58414 × 10^-19J
iii. Planck's constant
unsure
[Moderator: moved from a homework forum. This does not sound like homework.]Homework Statement:: Why is it the case that when the low-frequency response is to the right of the M = 1 line that the 'speed of response is slow'?
Relevant Equations:: M-cirlces
Hi,
Hope you are doing well and...
So in my textbook on oscillations, it says that angular frequency can be defined for a damped oscillator. The formula is given by:
Angular Frequency = 2π/(2T), where T is the time between adjacent zero x-axis crossings.
In this case, the angular frequency has meaning for a given time period...
Hello-
I was looking at a table of the dates of lunar perigees for 2020, and I noticed that most of the perigees were between 27 and 29 days apart. So the perigees do not appear at a constant frequency, which I did not expect.
There are even a pair, between June 30 and July 25, which are...
So here is my question
Have tried it and got these as my answers
Have I done part b) correctly over here to find the 2nd highest frequency?
Any help would be much appreciated! Thanks
Having some trouble with this question
I believe phenomenon behind this one is that the student is passing between nodes (minimum displacement) to antinodes (maximum displacement) which explains why the signal weakens and strengthens continuously. Hence the ans to this is option C?
For the...
Hello, I am looking for a controller whether programmable or otherwise that could function as a drive and control circuit which would monitor a transformer output connected to a load and then drive an amplifier with a signal that is proportional to the needed one in order to control the output...
For example, we have this two potencial wells approaching, the electron is confined in one.
the final appearance will be like this:
THEN, if we know a wave packet is formed by many frequencies, but in a potencial well there are just few frequencies allowed, energy levels, so let's say, one...
My query here is,
Suppose there is a 2 kg mass
To oscillate it/vibrate it, it will take some force and it will have some natural frequency
Now I increase the mass to 5 kg
so to vibrate it, won't it take more force and so at the end, won't the natural frequency of the object increase? as its more...
few questions
1) is it true that for a 50 or 60hz induction motor maximum torque is achieved from 0hz up to design hz and if an VFD is used and frequency is increased above 50 or 60hz like 100hz the rpm will increase but the available torque will decrease?
Is the reason behind this the fact...
I had many attempts on trying to solve this one, but I got always stuck in the problem-solving part: how do I manage to find the source-speed from the Doppler formula, in an analytical way, and then reach to the result-formula?
Anyway, I'm pretty sure the only formula needed to solve this...
When I tried using the equations the only thing I could see is that it is impossible for such point to be an anti-node. In this case, how do I find the frequency? The answer is not even with the form of v*n/2L which is very confusing to me, I thought that the frequency of a standing wave must...
Is tuba open or closed tube? I google the picture of tuba and I think it is closed tube (one end open to air and one end put into mouth so it becomes closed end). Using formula of closed pipe, I get f = 24.5 Hz but the answer is 49 Hz which is obtained by using formula of open pipe.
How to...
HELP!
totally lost and confused with this question:
A machine is subject to two vibrations at the same time.
one vibration has the form: 2cosωt and the other vibration has the form: 3 cos(ωt+0.785). (0.785 is actually expressed as pi/4)
determine the resulting vibration and express it in the...
Hi PF!
Do you know what the natural oscillating frequencies are for a 2D circular drop of liquid in an ambient environment (negligible effects)?
Prosperetti 1979 predicts the frequencies for both a spherical drop and bubble here at equations 5b and 6b. There must be a simpler circular 2D...
If I consider a wire carrying AC current, I know that at an AC frequency of 0Hz, the current will always in the same direction. If I change the frequency to 1Hz, the current will flow left to right for 1 second and then right to left for 1 second.
I guessed that at these higher frequencies, as...