Relationship Definition and 999 Threads

https://www.physicsforums.com/attachments/282201 Are we using this equation above to explain this question? The magnetic field is definitely in sinusoidal form but how does it proportional to the frequency of the source?

Would you call it an inverse relationship or a linear relationship, what is the correct terminology?

I'm doing my homework about the Inverted Pendulum and I'd like to know how a rocket flies and why it's related to an Inverted Pendulum.

Would someone be able to explain like I am five years old, what is the precise relationship between Fourier series and Fourier transform? Could someone maybe offer a concrete example that clearly illustrates the relationship between the two? I found an old thread that discusses this, but I...

Greetings. I still struggle a little with the mathematics involved in the description of gauge theories in terms of fiber bundles, so please pardon and correct me if you find conceptual errors anywhere in this question. I would like to understand the connection (when it exists) between the...

A force of 1 Newton times 3 meters, can that mean : a 1 kg mass pushed over 3 meters went from 0 to 1 m /s/s ?

The waves of Nazaré start because of a storm in the open sea. The winds cause a disturbance on the surface, transformed into energy. When the depth is great, the propagation of the waves (energy) is practically constant. As they approach the coast, therefore in shallower places, the wave length...

Hi, I have a valve which is connected to a pipe on both sides. I measure the pressure upstream of the valve. Downstream of the valve is a screw pump. I control my valve using an analog voltage input between 0 and 10 volts. According to the datasheet, the relationship between the analog input...

So, basically I can follow the math deriving E/B = c from Maxwell. And I can calculate B and H from I: H = I/2*pi*r and B=uH. Easy. So, for example I take a 2000 A, 50 Hz, current and a distance of 2 meter from that current in a round conductor. H and B are set: H = 160 A/m and B = 0,2 mT...

The textbook says that by squaring and subtracting the expressions you can eliminate u. E² - p² = y² (mc²)² - y²m²u²

so what I did was e^-(1/10.1)=0.9057 and e^-(1/14.8)=0.93466 Then 0.93466/0.9057 = 1.03198, so the heavier mass dampens 1.03 times more than the lighter mass. If the lighter mass decreases the oscillation to 72.1%, then the heavier mass would be 72.1%*1.03198 = 74.4, but this is wrong. It...

Ok, so where do I begin? So I'll try to make this as short as possible sparing you all my issues. I like thinking about what is. My math takes me as far as pre-calc, but have no training in this field. I have the utmost curiosity in understanding the functioning of everything. Specifically...

Hello, I am a Physics undergrad degree graduate who is attempting to do a personal project involving the projectile motion of an American football in a 2D space. I want to take into account the drag force that the ball will experience and also take into account the spin of the football (in the...

First of all, this is question from the modern physics module in 1st year physics program. The problem is I have no prior knowledge about spectroscopy or Lorentzian profile. However, the Compton scattering topic was already introduced. The Compton scattering formula can be changed into the...

Force lines method is used in Solid Mechanics for visualization of internal forces in a deformed body. A force line represents graphically the internal force acting within a body across imaginary internal surfaces. The force lines show the maximal internal forces and their directions. But...

(x+iy)^2 = x^2 + i2xy - y^2

Is there any relation between dynamical system and Hilbert space(functional analysis)?

Suppose p = a + bx + cx². I am trying to orthogonalize the basis {1,x,x²} I finished finding {1,x,x²-(1/3)}, but this seems different from the second legendre polynomial. What is the problem here? I thought could be the a problem about orthonormalization, but check and is not.

I have the following equation, $$ C_\ell(z,z') = \int_0^\infty dkk^2 j_\ell(kz)j_\ell(kz')P(k),$$ where $$j_\ell$$ are the spherical Bessel functions. I would like to invert this relation and write P(k) as a function of C_l. I don't know if this is a well known result, but I couldn't find...

Apologies if this is a question with a basic answer, I'm coming back to physics after many years of being away from it! I read somewhere that for longitudinal sound waves traveling through air, if the temperature increases by 1 degree celsius then the velocity of the wave will increase y 0.6...

According to me a=b cause what I have been learning is R is gas constant and hence it will be same for both. But the solution have says something else. According to them Cp-Cv=R/M where M is the molecular mass of gas. So is the above mentioned formula correct? Do we have to take that M term...

I'm unsure what equation to use to achieve this. My solution was to draw a scale model and measure the distance offset from the bar and how relative that was to the same length bar bent to 90 degrees. My answer was 70.8% assuming a linear relationship between length of lever and force (is that...

Hi all! I have a question ... I have to calculate the partial pressure of O2 Ccan I calculate the mole fraction from the data of 1 ppm of O2? The total pressure is 760 torr Thank you!

Hi all. I am referencing the example given in Halliday and Resnick, Chapter 20, Section 1, Subsection "Change in Entropy". The above picture is graph of the free expansion of a gas into a volume that is double its original volume. I n a free expansion there is no heat transfer, the pressure...

So this is a question from my lab report on capacitance. The aim of the experiment is to find out the relationship between surface charge density and radial distance from the centre of the plate capacitor. And in this experiment I have recorded 5 sets of data, namely r=0, V=4, r=1, V=3.5, r=2...

Mass is directly proportional to static and kinetic friction and inversely proportion to the coefficient of friction. Material affects the coefficient of friction as well as both static and kinetic friction. eg rough surface will have a higher coeffieiceint of friction

I create an algorithm that can solve [K]{u}={F} for atomic structure, but the results are not converge Do the boundary conditions affect the convergence of the resolution of a system of nonlinear partial equations? And how to know if the solution is diverged because of the boundary conditions...

Hi, when learnig about reflected waves, I keep coming up with this equation; to calculate the reflected mach number (Mr). I can't seem to find the derivation for this and would appreciate your help Thank you

If i have two circles that say 24" apart from each other. one inside the other. and i know the radius of the inside circel, how can i calculate the outside radius

A large cirlcle with radius 50 m contains a smaller circle with radius 7.4 m that is tangent to its surface internally. Is it possible to calculate what number of the small circle the larger circle can contain iside it in which all are tangent to its surface ... but without using trig. Functions

What is the relationship between the wavelength produced by a laser and the concentration of particles in the air? Does the wavelength get larger if the concentration of particles the beam hits increase?

What does it mean that the relationship between mass and weight is constant and proportional? I think I don't get it yet. The weight depends of mass, but at the same time depends of gravity, so if mass increase, the weight so does. But if we're on Earth we know that"g" has a value, therefore...

What gravity is, as pointed out by Newton and Einstein, is still a mystery. Adding to that conundrum is dark energy which continues to inflate the cosmos. Both Newton and Einstein, and every one else as far as I am able to discern, assume that gravity works by drawing massive bodies together...

Hey, y'all. I know the oxidation state of a carbon in an ethene is -2 while carbon in Acetylene is -1. As well I know acetylene has more disspating elcetrons due to pai bonds. So how come charges between the acetylene carbon are more negative than in ethene while the carbones oxidations states...

I am wondering if it is possible to determine the covariance, ##\text{Cov}(a,b)##, of two fitted parameters given I know their explicit relationship ##a=a(b)##? I would like to construct the covariance matrix in the space of the parameters ##\left\{a,b\right\}##. Using the relationship...

I am just starting a QM course. I hope these are reasonable questions. I have been given my first assignment. I can answer the questions so far but I do not really understand what's going on. These questions are all about so(N) groups, Pauli matrices, Lie brackets, generators and their Lie...

I've read some stuff on pileup.In one paper, it says the number of inelastic event approximately equals pileup event in detector.I don't quitely understand it.Can someone explain?Thanks

Hello, Here in this thread I will derive formulas for relation between two wheels, either teethed (e.g. gears) or non-teethed. In wheel relationship, we have three cases: Two wheels at the same axle Two wheels intersected in parallel (meshed) Two wheels connected by a belt We will examine...

Homework Statement:: 1. Does the increase in kinetic energy in (for example) water that results from increasing its temperature result from electron excitation (i.e. increasing electron energy levels) or simply increasing their velocity or vibration amplitude/frequency? 2. If excitation is...

I have reached a conclusion that no such z can be found. Are there any flaws in my argument? Or are there cases that aren't covered in this? Attempt ##\log(\frac{1}{z})=\ln\frac{1}{|z|}+i\arg(\frac{1}{z})## ##-\log(z)=-\ln|z|-i\arg(z)## For the real part...

Hi! I don't understand how to demonstrate the following exercise. Let ##F: R^{n} \rightarrow R^{n}## be a linear map which is invertible. Show that if ##A## is the matrix associated with ##F##, then ##A^{-1}## is the matrix associated with the inverse of ##F##.

Any one can help deduct the process to obtain the following equation? n= squart(ε*μ), n=refractive index, ε=relative permitivity, μ=relative magnetic permitivity. I am reading a book relating to spectroscopy, and saw the above equation. I am really interested how the scientists got this...

Q: Is it true that the value of K depends on the amounts of reactants and products mixed together initially? Explain. A:NO, Equilibrium and rates of reaction (kinetics) are independent of each other. A reaction with a large equilibrium constant value may be a fast reaction or a slow reaction...

My textbook tells me that one of Maxwell's equations, namely divergence of E = 4pi * charge density (in cgs) or divergence of E = pi / epsilon nought (in SI) is exactly equivalent to Coulomb's Law. How in the world is that so? Any ideas would be appreciated.

Equations: Pr : Pm : Pc = 1 : 1-S : S Total Power into rotor: Pr=I'22R'2/S Mechanical Power Output: Pm=I'22R'2(1-S)/S Power loss in rotor: Pc=I'22R'2So I'm a little skeptical of my answer here. Seems a little too easy, which normally means I've missed to mark by about 100 miles. Attempt...

I think the C_V for van der waals gas will be larger than ideal gas since it‘s a more precise description. However, for the relationship I cannot come up with a specific equation.

Wasn't really sure how to ask this question since it's kind of niche. I have 3 cameras, which have the property that they occupy no physical space, and have no lens. They are defined only by the angle of their view. Now these cameras capture a certain field and take an image. The cameras will...

Hey! :o Let an arbitrary linear system of $3$ equations and $3$ variables be given. There are $4$ cases how the planes can be related. Describe these $4$ cases graphically and describe the set of solutions in each case. I have done the following: If the three equations are linearly...

A stupid layperson question- while it is clear that any given quantity of mass comprises an enormous quantity of energy, I have wondered how could it be that the speed of light is involved in that relationship, rather than some very large, but random constant. It just seems so odd to me that c...

I am working on a guitar/piano synthesizer for my own interest. When a string is plucked or struck, tension increases causing a slight pitch bend and change in the inharmonicity. This change then settles as the note quiets down. Thus it is important to model how the tension rises above baseline...