Formulae Definition and 139 Threads

We are all familiar with E=MC2, although I don't know how that formula relates to the big bang. In any case, I suspect I don't have the math to understand it and it would probably take several pages to define it. Everyone is familiar with F=MA. What most people don't know is that if you...

How are classical formulas in physics (such as p = mv, or kinetic energy, or maxwell distribution of speeds) treated with the appropriate relativistic correction/modification? Is it done by using the Lorentz transformation equations? Could anyone give me a few examples of relativistic...

whats the the Rayleight number formulae of vertical cylinder in natural convection?

Consider the equatorial plane of a spherically symmetric space-time. Then we can write the metric in the equatorial plane (theta=pi/2) in terms of three coordinates - [t, r, phi] ds^2 = -f(r) dt^2 + g(r) dr^2 + h(r) dphi^2 For the Schwarzschild metric we can write: f = c^2(1 -\frac{2 G...

hello everyone. I am in desperate need of help from some mechanical design/materials engineers/students. I am an Electrical/Electronic Engineering student currently completing a project and require assistance on some mechanical design issues. I have searched numerous websites and books...

My answer is almost correct, except for the negative sign. Can anyone help? Many thanks. Homework Statement Q. Without using a calculator, show that \sin10^{\circ}+\sin80^{\circ}=\sqrt{2}\cos35^o Homework Equations The Attempt at a Solution...

In the final proof, I have \frac{h-h\tan B}{\tan B}, rather than \frac{h-h\tan B}{1+\tan B}. Can anyone help me out? Many thanks. Homework Statement In the triangle pqr (see attachment), |\angle qrp|=90^{\circ} & |rp| = h. s is a point on [qr] such that |\angle spq|=2B & |\angle...

Having some trouble with this one. Can anyone help me out? Many thanks. Homework Statement Prove that \tan 3\theta=\frac{3\tan\theta-\tan^3\theta}{1-3\tan\theta} Homework Equations The Attempt at a Solution...

I have tried finding a table's length using two methods. Both should be applicable, as using a ruler implies uniform distribution, does it not? The first method involved calculating the mean length from a set of measurements, finding the variance, and substituting it in the formula for the total...

Homework Statement Consider the unit tangent vector T unit normal vector N and binormal vector B parametrized in terms of arc length s. 1) Show that \frac{dT}{ds} = \kappa\,N I think this part is fine for me. What I did was: N(t) = \frac{T'(t)}{|T'(t)|} and said, by the chain rule...

Hi, Hopefully this is going to be pretty basic stuff for someone. I have a mechanically variable capacitor and to prevent electrode shorting, I have deposited a small amount of oxide on the side walls. For my Matlab model I need the equation for capacitance which takes this oxide into...

Homework Statement This isn't my homework problem, but I'd like to know how to prove \sum _{ n=0 }^{ \infty }{ \frac { n }{ { \alpha }^{ n } } } =\quad \frac { \alpha }{ { (\alpha -1) }^{ 2 } } I only know basic convergence tests (including the integral test), and that \forall |\alpha...

Homework Statement Construct truth tables for the two propositional calculus formulae (p→(~q))\wedger and q→((~p)\wedger) Homework Equations The Attempt at a Solution Can some one please check these solutions because I had a look at the answer and it was different but I don't think I am...

Homework Statement Which of the following formulas is valid if the angular acceleration of an object is not constant? Explain your reasoning in each case. (a) v = rω; (b) atan = r\alpha; (c) ω = ω0 + \alphat; (d) arad = rω2; (e) K = 0.5Iω2. Homework Equations The Attempt at a...

Thanks.

Determine how far apart two parallel plates must be situated so that a potential difference of 2.50*10^2 V produces an electric field strength of 2.00*10^3 N/C F=(k*Q1*Q2)/r^2 PD=kQ/r E=kQ/r^2 I cannot even figure out which formulae to combine...

When I'm working out a maths or physics problem I always find myself questioning whether I should work out the equation as I go along or should I re arrange it and do it in one step with my calculator? For example if I was to use the cosine rule for triangles, a2=b2+c2-2bccosA to solve a...

When we derive the relations between image distance(v), object distance(u) ond focal length(f) for mirrors or lenses (1/v+1/u=1/f and 1/v-1/u=1/f respectively), using the concept of similar triangles and alternate exterior angles, in the last step we apply standard sign conventions to get the...

I wish to design several systems of radiant heating that use both transfer of heat and friction heating of the transfer fluid which will be some grade of oil (which can handle a wide temperature range and has reduced equipment wear). What I need is to know is the energy turned into heat given...

There is usually a set of integral formulae that is listed in a calculus textbook or website (such as Wikipedia.) I'd like to see the derivation of all those formulae. Yes, I know that they use various combinations of integration by substitution and integration by parts, but I'd like to see...

Homework Statement \intx^{n}2^{x}dx = \frac{2}{ln 2} - \frac{n}{ln 2} \intx^{n-1}2^{x}dx For n is greater or equal to 1, find \intx^{3}2^{x}dx This is a definite integral from 0 to 1 The Attempt at a Solution My first question is, after reducing this once, you are left with...

Hello, I am trying to understand thin film (in air) interference but I have a problem: I know we have destructive interference when \delta=(2m+1)\pi. Now i can try to calculate the thickness of the film to get it, so since \delta =\frac{4nt\pi}{\lambda} - \pi where t is the thickness...

Hi all, I have an exam today but the questions which will come up I have never come across before. Some of the questions involve the Factor Formulae which I have never seen before so I was wondering whether you might give some examples and perhaps links to other pages where I can take a long...

hi i want formulae for induction heating .. 1) dept of heating 2)power loss per unit volume also for dielectric heating please help me ..

1.I would like to know why temperature is increase and the current kept constant from the formulae I=nave v=I/nae =the value I,n,a,e are constant when the temperate increasing. But why,i don really understand how to see though the...

Hi there guys, new to the forum. I need to find a formulae for denting steel and aluminium. basically i need to work out how much force is require to dent a 300 x 300 and 1mm thick steel and same with aluminium and how much force is require to remove the dent. practically I've already done...

[b]1. A straight line in flat space may be defined by the equation: (when I use the ^ symbol in this case it means like upper subscript not to the power) (U^v)(d/dx^v)(U^u)=0 (U^u=dx^u/ds) derive the geodesic equation. Please help I'm completely clueless all I can really see to do...

All I know about Leibnitz is \frac{d^{n}}{dx^{n}}f(x) = \sum^{n}_{i=0} \left(\stackrel{n}{i}\right) g^{n-i}(x)h^{i}(x) and I don't understand what the answer sheet says: Parts of it perhaps - I can see they take the 0th, 1st and 2nd derivative, but why not more? I mean why stop at 2? I know...

I have attached my work. I'm not asking for teh answeres as I've done them; but want to make sure I haven't made some silly mistake and have set things out rigth adn used the right triangles/formulae. Thank you very much in advance.

Define I(n) by I(n) = integral of x^n / square root(1+x^2) dx. Evaluate I(0), I(1) and then establish the reduction formula I(n) = ((root2)-(n-1)I(n-2))/(n) for suitable values of n, which should be stated Here is my attempt I found I(0) first,and got the answer to be...

I had a quiz today and part two of a question asked for the tension on a string. The problem was something along the lines of -- mass 1 = 6kg and mass 2 = 5kg. Mass 1 is attached to mass 2 by a weightless rope on an incline of 33 degrees. For mass 1 the kinetic friction is mu = 0.50; find the...

Homework Statement A motorcycle stuntman who is moving horizontally takes off from a point 15.0m above the ground and lands 60.0m Calculate a. Time between taking off and landing b. the speed of the motorcycle at take-off Homework Equations s = ut + 1/2(at^2) The Attempt at a Solution...

Homework Statement I would like to know if there is an equation/formula to find out the air resistance of any falling/moving object. This will be used in a simulator in a project I'm doing. I've looked around and all I can find is 'Do Experiments', 'Wind Tunnels'... This is not useful for...

For a fixed y \in R , if f(x) = [sin(x+y)]-(sin x) (cos y) − (cos x) (sin y)and we let E(x) = [f(x)]^2+[f'(x)]^2. How do we prove the addition formulae for sin(x + y)and cos(x + y) by applying the Mean Value Theorem to E

pressure = 1/3* density * mean square speed and ke = 1/2*m*m.s speed

Can anyone help me out with a proof for the integral that's in the attached images, its driving me nuts :frown:

I am trying to calculate the mass of the galaxy within the orbit of the sun. M = Mass of the galaxy = ? r = ‘Distance of sun from galactic centre = 7.6 kpc’ = 2.3 x 1017 km = 2.3 x 1020 m (2 sf) G = Gravitational constant = 6.67 x 10-11 Nm2kg-2 v = ‘Radial velocity of the sun =...

Homework Statement Given that cos C = 12/13 where C is a reflex and sin D = 3/5 where D is acute, find the exact value of cos ( C + D ). Homework Equations The Attempt at a Solution I used the Addition Formulae: cos(A+B) = cosAcosB-sinAsinB cos(12/13)cos(2/5) -...

I'm afraid I'm suffering from a bit of brain block in try to get from the simple statement of change in the number of daughter nuclei arising from the decay of parent nuclei. The basic statement is straight forward... \frac {dN_d}{dt} = \lambda_pN_p - \lambda_dN_d Subscripts d and p denote...

Hey, I need to learn uhm 17 forumlas. Really I need to know them for tomorow. And I just can´t remember them all. Does anyone have a little rhyme or so I can use to remember them all? They are the basic IGCSE forumlae, e.g 1. Distance "divided" by speed x time 2. Change In speed "Divided"...

Homework Statement I was intent on finding a general formula for every case where the constants are real in this integral: \int\frac{dx}{ax^2+bx+c} But thought I would make things progressive by tackling a seemingly easier problem, mainly: \int\frac{ax+b}{cx^2+dx+e}dxThe Attempt at a...

Is the formula for single slit diffraction Dsin\theta = m\lambda identical to the double slit diffraction besides m being minima rather than maxima? More specifically will m + 1/2 tell me the angles between maxima?

1. I don't understand coumpound angle formulae, for example sin(x+y), sin(x-y) etc. I'm supposed to solve using angles in the special triangles--so I use angles like 45, 30, 60, or those angles converted into radians--and add them to get the answer. For example: sin15 would be solved using...

I wasn't really certain where to post this so move it if it's in the wrong place. I'm about to order some books from Amazon and I thought I'd get a book of math tables and formulae while I'm at it. I'm tired of doing simple gaussians by hand over and over again. So I'm wondering if you guys...

the idea is let us suppose i must solve f(x)= 0 (1) let us suppose that f(x) have SEVERAL (perhaps infinite ) inverses, that is there is a finite or infinite solutions to the equation f(x)= y by g(y)= x with f^{-1}(x)=g(x) then solution to equation (1) would be g(0)=x...

In physics the moment of inertia of a thin rod which rotates around an axis through its center of mass is : I cen = 1/12 m L sq (1) Where: m is the mass of the rod, L is the length of the rod. The moment of inertia of a thin rod which...

Is it just me or does just knowing a few physics formulae make first year physics courses ridiculously easy? I have a few sample tests in front of me and just about every single question can be answered by applying 1 of about 10 formulae in one way or another. I always liked physics but only...

Hi guys, I have a question : why do some equations in Physics have a square sign. For example in the Centripetal Acceleration formula v(squared)/radius, Coulombs law, q(1)q(2)/distance(squared). Can u explain it in a way that helps me understand the way formulae are discovered .

Homework Statement Can you please list the formulae of function change while putting (pie/2 - x) and adding or subtracting 2Pie Basicly, I need help on 2 formulae. One is add/subtract Pie/2 and the other is add/subtract 2Pie. Homework Equations sin (pie/2 - x) = sin x cos (pie/2 - x) = - sin...

Heres a question I never figured out. "Using dimensional analysis, determine which formula (a) or (b) is correct for the description of the force due to gravity between a body of mass m (kg) and another of mass M (kg) separated by a distance of r (m). The gravitational constant G has units...