Relationship Definition and 986 Threads

Hello all, We know that for some well-behaved, smooth/continuous, twice differentiable function of x, f[x] there exists at each point a slope (f ' [x]) and a radius of curvature \rho [x]=\frac{\left(1+f'[x]^2\right)^{\frac{3}{2}}}{f\text{''}[x]} It also seems intuitive to think that at...

Without knowing much specific war history, it seems to be common knowledge that war was often used for imperialist economic purposes in the past. Presumably, the winning army would either kill any surviving opponents and take their land and property or enslave them. My question is whether...

1. Homework Statement Derive a relationship between dq/T , dT/T, dp/p , Cp , and R for an ideal gas. 2. Homework Equations dQ = dU + dW and/or dq = du + dw (for a unit mass) p*d(alpha) = dw (alpha = specific volume V/m) du = Cv*dT p(alpha) = RT (Ideal gas equation, a different...

Hello. One doubt. How is the distance between the charged particles and the EMF between them get balanced out? That is, if I have a proton and electron, they attract each other, move towards each other and form a H atom. But going by this attractive force, they should approach each other...

Hi, Im trying to understand the relationship between heat released in an energetically favourable chemical reaction and the released charged particles when the reactants are connected in a battery set up. If you mix Zinc and copper sulphate you get heat and the product. Connect the copper...

Hi Guys, Is there a SIMPLE (I am not a physicist) relationship between a quantum of energy, the photon(s) involved and the wavelength (or frequency) of the photon(s) involved in making up of the quantum? Regards. Pierre

Hi friends; I have Saturn 1100 and centaur 4500 two shaft gas turbines from solar INc. I want to know that what relationship of following parameters 1. Compressor discharge pressure and fuel flow 2. How i calculate the SFC? 3. What effect of LHV on SFC? 4. How i calculate the Heat rate? If...

I am trying to create a model in SimMechanics of a simple damped frame. I am very new to this software and structural dynamics as well. I have a copy of "Dynamics of Structures" 3ed by Chopra. In the textbook, the author uses the standard geometric and material properties that I am familiar...

I am trying to define the stress strain relationship for a viscoelastic material. For a Maxwell model, I have the relationship in 1D as dE/dt = T / viscosity + (dT/dt)/ elastic_modulus. Where E is the strain and T is stress - t is time. But in a reference, (Neutrophil transit times through...

We did a experiment, and the aim was to find out that relationship between mass and radius with period of time in the circular motion..Although I know the formula for centripetal force, but I am not sure about what the expression should be The lab data : Table 1: 1st experiment ...

I have a magazine test of Audi RS4 and Mitsubishi Lancer EVO IX. There is something interesting in this test. RS4 does 0-100km/h in 4.7 (s) in a distance of 78.3 (m) EVO does 0-100km/h in 4.7 (s) in a distance of 74.7 (m) Does it mean that EVO is faster despite having similar acceleration...

Hi, I'm scratching my head over the statement from my textbook which states when determinant is non-zero, the set of vectors blah blah is a basis for r^3. That does not make any sense to me because I know when a row of zeros in a matrix occur; the determinant is zero (through Gaussian...

Hi Forum, I am currently attempting to utilize http://bayes.wustl.edu/etj/articles/kramers-kronig.pdf" Unfortunately ... I have not been successful. I have tried for the past week and asked those around me. All help is appreciated. The equation is as follows: ( 1/c(w0) ) - ( 1/c(w) ) =...

When you compress air it heats, and when you decompress it it cools, but how much? Working from http://en.wikipedia.org/wiki/Gay-Lussac's_law I find the equation pressure/temperature=constant so I derived for example if the air is 10°C (283.16°K) and the pressure is 14PSI so... 14/283.16 =...

I remember that Position, velocity, and acceleration are all related in calculus somehow. Perhaps if one differentiates position, the result is the velocity, and if one differentiates velocity, the result is the acceleration. And the process can be reversed by integration. In this case...

Hi everybody, I have just a question about elastic and isotropic constitutive relationship Why does the stress tensor need an indeterminate hydrostatic term for an incompressible material? for both solids and fluids.

Hi Everyone, Currently I am studying Stationary Waves and the relationships between the standing wave pattern for a given harmonic and the length-wavelength relationships for open end air columns. I came across a statement that says that there is a relationship between temperature and sound...

Is it true that a car has it's best fuel consumption in max torque RPM? For example, if a car produces it's max torque in 4500 RPM, does it use the least amount of fuel by driving constantly in 4500 RPM?

School experiment: Shine lamp at a solar cell, and measure the voltage using a multimeter. Independent variable is the distance between the light bulb and solar cell, dependent variable is the voltage. What is the relationship between the two? And how exactly do I prove it? What I have...

There is nothing more that i like than a plate of baked beans with some bread and butter, but baked beans hate me, within an hour it is a parp parp hear a parp parp there a parp parp every where., why do baked beans hate me?

Homework Statement This isn't so much a homework question as a question to help me undertstand how to do my homework. The book says that nucleophilicty roughly parallels basicity. Which makes sense since bases are electron pair donors, and an electron pair makes a nucleophile. but then...

Homework Statement Given 3 matrices C, D, F and another matrix A, can i say anything in general about the relationship between C.D^n.F and A^n if i know that F = C^-1 and that C.D.F = A. Homework Equations The Attempt at a Solution For example, If C.D.F = A then (C.D.F)^2 = A^2...

Homework Statement Tds equation Homework Equations Tds=dh-vdP The Attempt at a Solution i had to rearrange and use an integral for vdP to solve for enthalpy so I had the change in enthalpy is equal to the change in ehtropy multiplied by temprature plus a number in kPa from the...

is the normal just grad(f(x0,y0,z0))? If so, how exactly does this work out to be so? Explain? Thanks... :D & is the calculus section the most appropriate place to put this question? thanks again. :)

To all who have given up their time to help. Could you please have a look at my experiment, I am really stuck with this and don't know how to go on with it. I am unable to find a suitable equation to prove it mathematically as there is a varying change in both time taken and the pressure inside...

I did a lab using an electrochemical cell to establish a relationship between cell potential and concentration. I derived two equations from lines of best fit. One is Cell potential of Ag vs. Cu Concentration: y = -0.04520x+0.5515. The other is cell potential of Zn vs. Cu concentration: y =...

Hi everybody, I am having an extremely hard time understanding a specific relationship that originates from the least common multiple of two or more numbers. According to "Number Theory and Its History" by Oystein Ore, it is not difficult to see that when one writes lcm(a,b,c) = p*a =...

I know how to measure Km, but I already know Kt from the datasheet and according to some motor calculation guide's I've found online, they say you can know one from the other by using the relationship: Kt (oz.-in) = 1.345 * Km (V/1000 rpm) I checked this on other motor's datasheets that give...

Homework Statement Will stretch in a string have an effect on the graph of wavelength vs. tension, relative to the same graph using a string without stretch? Homework Equations N/A The Attempt at a Solution No calculations are required, so I'm assuming that the slope of that graph...

Homework Statement [PLAIN]http://img220.imageshack.us/img220/2589/44045733.png Semicircular wire MN of diameter L moves with speed v perpendicularly through a uniform magnetic field of strength B. 1. Find the magnitude of the induced emf generated between M and N. 2. State whether M...

hi, i believe there is a clear cut relationship between the pauli exclusion principle and the thermodynamical/chemical stability in chemistry. the pauli principle rises the energy level, and stability occurs for the lowest energy states. does that mean that a consequence of the pauli...

Homework Statement In the lab, we had a hanging spring. We proceeded to add mass to the spring (starting at 100g, and increasing by 50g until 500g) and timed the period of oscillation, T, for each mass added. We also found the spring constant by finding the slope of Displacement vs. Mass...

Homework Statement I'm trying to create a graph showing the relationship between radius and angular velocity for a toriod space station that maintains a constant angular acceleration of Earth's gravity (9.8 m/s^s) on it's rim. Homework Equations ac = r\omega^2 The Attempt at a Solution...

The following is the relationship between torque and HP: HP = Torque (lb-ft) X RPM / 5252 I have used it many times without any problems except for one car, the MC-Laren F1. Here is it's torque and power: 627hp@7400 RPM 479lb-ft@4000-7000RPM So, at 7000RPM this car has 479lb-ft...

1. So the problem is rather simple. And the descriptive solution is a piece of cake. But I need help finding the mathematical relationship that exists between the mass of the pulley, mass of the cart, and the acceleration. In other words our lab consisted of a cart which had a mass of 500 grams...

Hi, I am trying to program an I2C interface and it's not working. The master is TI Cortex M3 processor and slave is ST Compass. I have captured the scope pictures and found that slave is not bringing the data line all the way to ground and this is violating I2C spec. I have sent the scope...

This is related to a HW post I made over in the HW forum. I am stuck trying to find a more detailed formula for the Period-luminosity relationship of Type I Cepheids. Wikipedias description doesn't seem to match with the book (or include any mention of type I or type II), and frankly the...

hi, it is a known fact that quarks are the most massive particles, and they interact with the 4 forces. then electrons, muons, and tauons are less massive, and interact with 3 forces. finally neutrinos are even less massive and interact with only 2 forces. I wonder if there is any...

What could we say if a matrix is invertible? Could we say that it can span and is linearly independent?

Homework Statement A force is applied that makes an object move with the acceleration shown below. Assuming that friction is negligible, sketch a force-time graph of the force on the object on the axes below. Since i don't have a scanner. Let me describe the graph of the acceleration...

Ok I been trying to figure partially exactly what things in Quantum Mechanics, Quantum Field Theory, QED, or any physics that matter gave rise to concepts of things like hyperspace and multiverse and other theories that seem to have more of a fictional history and origin than the original...

Hi, 1. \color{blue}dq=dU+PdV so C_V = \left(\frac {\partial q}{\partial T}\right)_V= \left(\frac {\partial U}{\partial T}\right)_V leads to dU=C_{V}dT so \color{red}\left(\frac {\partial U}{\partial V}\right)_T = 0 meaning that internal energy of NONideal gas is a sole function of T? 2. As...

Hi. This is currently an academic question - I don't have a 'spare' motor to risk at present :) Would NOx catalytic converters become unnecessary on a 'spark' engine if only relatively cold air was made available at the intake? My thinking is that NOx formation needs high high peak temps and...

If you are in the southern hemisphere in winter and the South Celestial Pole has an altitude of 20 degrees, what is your latitude on earth?

The 4th derivative of a sine wave is itself. This, of course, not only is a fact, but can be used to define the sine wave. My question is, are there any theories relating the abundance of sine waves in QM to the fact that the largest dimensions of space-time are together 4 dimensional? For...

Homework Statement Prove that for any m x s matrix A and any s x n matrix B it holds that: rank(A) + rank(B) - s is less or equal to: rank(AB) The Attempt at a Solution Obviously, the following are true: - rank(A) is less or equal to s, - rank(B) is less or equal to s, -...

I really understand most of the question, just having trouble with one part, so I am going to try to sum it up. if you need more info to clarify please let me know... background... nielson media research provides two measures of television viewing audience (in this case for the world...

I just got handed an assignment to document our database tables. I would rather not have to do this manually and I'm wondering if anyone knows of any freeware that will allow me to create diagrams of the tables and relationships between the tables.

hi , every one! I have a problem with a sphere rolling on a fixed sphere. My problem is to find relationship between coordinate of center of sphere (X,Y,Z) and orientations (alpha, beta, gamma) or Euler angles of sphere. as we know a sphere has 6 DOF in space (3 coordiantes and 3 rotation) when...

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