Derive Definition and 591 Threads

Where How did he come up with that?

Homework Statement Derive a relationship between the speed v, of a body moving in a circle of radius r, and the frequency f, of the revolutions. Homework Equations v=2πr/T T=1/F The Attempt at a Solution Well, I thought this would be as simple as solving for F in the second...

Homework Statement A circular conducting loop with radius a and resistance R2 is concentric with a circular conducting loop with radius b much greater than a and resistance R1. A Resistance dependent voltage is applied to the larger loop, having a slow sinusoidal variation in time given by...

Derive for time! D=Vit+1/2at^2 THANKS for you help

Hello, I'm looking at some sporting data (similar to goals in a match) and trying to figure out what distribution applies to their count per match. Typically, Poisson is used in the industry to model the distribution. When I look at the historical events, poisson isn't too bad, but tends...

How do you derive the results, a=dv/da

Homework Statement Derive the following formula using Taylor series and then establish the error terms for each. Homework Equations f ' (x) ≈ (1/2*h) [4*f(x + h) - 3*f(x) - f(x+2h)] The Attempt at a Solution I honestly have no idea how to go about deriving this. The professor did...

Let Y ~ Bi(m,q). Use the definition of E[g(Y)] to derive E[Y^2]. Hint: Write Y^2 as Y(Y-1) + Y. You do not have to re-derive E[Y]. Not sure where to start with this; my initial reaction was to use the moment generating function?

Hey all, I've been trying for a while now to derive the following solution, for a circular cylinder under uniform flow: φ(r,θ)=U(r+\frac{R^2}{r})cos θ where φ is the flow potential that satisfies Laplace's equation, as defined in this article...

Hi I am measuring the acceleration of an oscillating body with a triaxial accelerometer. I want to derive some kind of vector average of the 3 channel output. Someone suggested using x= √(a squared + b squared + c squared) ... where x is the vector average and a, b and c are the...

I'm tired of having to look up the kinematic equations every time I need to use them (I tutor lower devision students a lot). Is there an intuitive and memorable way to derive them? As in, it's easy to derive x=x0+v0t+at2 just by integrating a constant force. Can I get the others without...

Homework Statement Derive an expression for the rate of interactions in a fixed target experiment, for which the beam of incoming protons has a current I, the target density is ρ(g/cm^{3}), the target thickness is d and the interaction cross-section is σ. You assume that the beam particles...

i have a coax cable that will be used in data transmission. i have measured the open and short impedance and then characteristic impedance(Zo) for the cable. Eventually I will have a transmitter with Z_source in one end of the cable and receiver with Z_load at the other end of the cable. Is it...

In my career, so far, the first two pages of the attached sheets contains everything I've ever needed to have in my head; the last sheet contains most things I've had to derive. I hope you find this helpful. https://www.physicsforums.com/attachments/910._xfImport Comments and questions should...

I'm not understanding how the equation of the electric field due to an electric dipole is derived. This is how my book derives it: Say you have electric dipole composed of charges +q and -q a distance d apart, with the negative charge at the origin of the z-axis. Then, at any point z, the E...

I guess it was Whitehead and Russell who tried to prove that all of math could be derived from the principles of basic logic. Where is that effort today? I'd rather not read a 3 volume set to understand how 1+1=2 can be derived from logic. Is there a more modern text on the subect? Is it still...

Homework Statement Three charges with values + 20 μC, -10 μC and -10 μC are placed at the corners of a 0.10m square, as shown. c) Consider a sphere of radius 0.3m which totally encloses all three charges. Using Gauss's law derive an expression for the flux through this surface. Homework...

Homework Statement There are other ways to derive the kinetic motion equation. show an alternative way using the equations of motion Homework Equations Ek= 1/2mv^2 The Attempt at a Solution W= FD W= MAD = m( v2-v1/t)(V1+V2/2) T = M/2 ( V2^2-V1^2) = EK= MV^2/2 they...

Homework Statement http://a1201.hizliresim.com/t/f/1sjw1.gif http://a1201.hizliresim.com/t/f/1sjxk.gif Homework Equationshttp://d1201.hizliresim.com/t/f/1sjxx.gif The Attempt at a Solution http://c1201.hizliresim.com/t/f/1sk69.gif I think there will be a mistake at solution and I can't...

I start with the expression for kinetic energy \Large E = \frac{1}{2}mv^2 Differentiate both sides by x \Large \frac{dE}{dx} = m v \frac{dv}{dx} Substitute the following expression for the velocity v \Large v = \frac{dx}{dt} To get \Large \frac{dE}{dx} = m \frac{dv}{dx}...

Hello. I am in the middle of a paper on Hubble's law and the Friedman equations, I would like to show that with modern measurements of redshift (or λ') and distance, one can use these to find a modern value of Hubble's constant. I however need some data to do this, so does anybody know of a...

Hello. first, sorry for my poor English. Derive characteristic wavelength from radiation powerThis is radiated power from bending magnet (synchrotron storage ring accelerating electron to get x-ray) and these are wave distribution from storage ring and what I have to derive is as follows...

Hello! Can anyone help me / tell me how to derive at Leibniz's notation? As in how was the formula derived?

The question asks the student to use Taylor's formula to calculate the exact values of higher derivatives f '[0], f '' [0], f ''' [0], ... , f^6'[0] of the function f[x] defined by the power series x/2 + x^2/12 + x^3/240 +x^4/10080 + ... +((k x^k)/(2 k)!) + ... My first...

From my understanding the job of a theoretical physicist is to derive theories to explain phenomena in nature. But let's say you aren't the best problem solver in the world. You are good enough in your physics class to get the 3.5 GPA but you are never able to solve those extra credit problems...

how to get this equation: Vout/Vin = [RL]/[-[ω][/2]+jω(R/L)+1/(LC)]

Do I take the derivative of the density fct and set it equal to 0, then solve for t?

Homework Statement I came across an expression in the following pdf at the bottom of page two: http://iweb.tntech.edu/murdock/books/v4chap2.pdf Homework Equations The electric field for a disk: \vec{E} = \frac{\sigma}{2{\epsilon}_{0}} ( 1 - \frac{z}{\sqrt{{z}^{2} + {r}^{2}}}) Now logically...

I want to derive some physics equations from other equations. a) How can I derive this formula: R=Vo^2(sin(sα) / -a from these two equations: (1) x=(Vo cosα)t (2) y=(Vo sinα)t + 1/2at^2 Things I know - I think the way to do this is to isolate the variable t in equation (1) and...

I'm struggling to derive some thermodynamic equations from this http://my.safaribooksonline.com/book/chemical-engineering/9780132441902/thermodynamic-properties-from-volumetric-data/ch03lev1sec1" : Homework Statement I'm trying to derive all the equations from 3.8 to 3.14 for Pressure...

Is it? If so, can you show how? Thanks :smile:

Homework Statement Measuring the flux of a star as a function of the time, the flux exhibit a decrease of 1.65% for 2h 56m, periodically every 57.22 days. Such decrease is ascribed to a planet transit. The continuous spectrum of the star is like a black body with T= 9500 K, and its...

Homework Statement I need to derive an error equation using back substitution for the angle to radian equation Homework Equations θ^rad = θ° * 2pi^rad/360° The Attempt at a Solution How can I back substitute, is everything after the θ° not all constants??

Homework Statement A truck of mass M and a car of mass m are traveling at the same speed. Suppose M>m. Now the drivers of both vehicles suddenly apply their brakes and the vehicles slide along the road, which has coefficient of kinetic friction uk. the car stops after sliding a distance d...

Homework Statement 1. Derive the Gibbs function g(T,P) for dry air. T = temp, P = pressure 2. Derive the speed of sound (c) from the Gibbs function. Plot c as a function of temp and pressure. Homework Equations c = gp*squareroot(gTT/(g^2TP - gTT*gpp) I wasn't sure how to type it in...

Hello, I just need help deriving the fundamental equation from Equation of state for wan der waals fluids. P=\frac{RT}{v-b}-\frac{a}{v^2} and u=cRT-\frac{a}{v} where a,b, and c are constants. I know the fundamental equation is dS=\frac{1}{T}dU+\frac{P}{T}dvI solved the u equation so it's...

Homework Statement I was trying to figure out how to derive acceleration in spherical coordinates, and I realized that I need to find the projection of each spherical unit vector [ e(r), e(θ), and e(φ)] onto each Cartesian unit vector [î, j, and k], but I'm not quite sure as to how to do that...

Homework Statement Obtain the accelerations of mass a and mass b. Homework Equations Once i derive the displacement relation constraint, then i just have to diff twice w.r.t time. This part is ok. The Attempt at a Solution I am trying to reason this way: suppose 2M moves up by x...

Homework Statement consider the cascading of two non identical amplifiers stages, each having a low-pass STC frequency response. STage 1 has a low freqency gain of ALF1 and a 3 dB frequency of f1. Stage 2 has a low frequency gain of ALF2 and a 3 dB frequency of f2. Derive a polynomial...

Homework Statement Show how W= (P2V2 - P1V1) / \gamma -1 can be derived using relations between PVgamma = constant, and W(1 to 2) = -\int P(T,V) dV (from v1 to v2). Homework Equations I think we can use R = Cv (\gamma - 1) The Attempt at a Solution Not sure how to start. The...

Homework Statement Derive an expression for the current I(t) as a function of time for the following circuit: ____ \____ |..... | &..... - & .....- | ...| ___________ This circuit may be a bit unclear - the && is an inductor L, the - - is a capacitor C, and the top part is a switch that is...

Hi all, I need to derive the space state form of this simple system: http://imageshack.us/photo/my-images/856/system.png/ The two springs end are moving. I derived the equation fo motion: m*ddxm+kl*(xm-xl)+ku*(xm-xu)+cl*(dxm-dxl)+cu*(dxmdxu) where ddxm is the mass acceleration dxm is the...

i.e. thank you very much in advance

Homework Statement Derive the Sellmeier equation n^{2} = 1 + \frac{A\lambda^{2}_{vac}}{\lambda^{2}_{vac}-\lambda^{2}_{0,vac}} from (n+i\kappa)^{2}= 1 + \frac{\omega^{2}_{p}}{\omega^{2}_{0}- i\omega\gamma - \omega^{2}} for a gas or glass with negligible absorption (i.e. \gamma ≈ 0...

How to derive expresssion for coefficient of kinetic and static friction?

Hello, I have a problem with divergence function DIV in DERIVE 6 and canot find anything in help and web forums either. #1. At first, I load utility "VectorMatrixFunctions.mth" #2. when I insert DIV([1/r^2, 0, 0], spherical) I obtain ZERO But it seems wrong, f.e. for Gravitation we...

The Relation between Levi-Civita Density and Kroneckers Delta as follows \sum^{3}_{k=1} \epsilon_{mnk} \epsilon_{ijk} = \delta_{mi} \delta_{nj} - \delta_{mj} \delta_{ni} Logically we can satisfy both sides of the expression but Can anyone tell me how to derive this analytically ?

Homework Statement "Maxwell showed that we can easily do a dimensional analysis on mass, using only Newton’s equations. Mass is [length]^3 [time]^-2 ." (http://milesmathis.com/coul.html) I would like to know how to do the dimensional analysis and derive M = L^3 T^-2. 2. The attempt at...

Homework Statement Derive equation of torque: G = p X E from equation U = -p\cdotE Homework Equations G = \int x \times \rho(x)E dV U = \int \rho(x)x \cdot \nabla\varphi dV The Attempt at a Solution I tried to figure how to represent G in a way that better express the nature...

Let \;\vec r\;'\; be position vector pointing to the source. \;\vec r\; be the position vector pointing to a field point. Therefore the distance from the source and field point is: \vec {\eta} =\vec r -\vec r\;' \;\hbox { and }\; \eta = \sqrt{r^2+r'^2 - 2rr'cos\theta}= r \sqrt{1+\left...