Formula Definition and 1000 Threads

Homework Statement Refer to the second photo , Q= Ay Does the author mean point P is at the center of the region (62.5mm x 100mm) ?The figure is not labelled well i am confused Homework EquationsThe Attempt at a Solution In the notes , I was told that y is the location of the shear stress is...

Homework Statement Homework EquationsThe Attempt at a Solution Firstly I tried to find the empirical formula: C : H : O 65.2 : 8.75 : 26.05 (mass) 5.43 : 8.75 : 1.628 (mol) 3.34 : 5.37 : 1 10 : 16 : 3 C10H16O3 This gives a molecular mass of 184. Now with the structure: It has to...

Hello, I'm currently writing a report on young's double slit experiment, and I've used the equation nλ/d = x/L and I was wondering if someone could explain the question? I know how it works, and how to solve for lambda, but could I have some more detail into why it works? For example, why can...

Homework Statement (b) Rationalize the numerator of your formula in (a) to rewrite the expression so that it looks like f(h)/g(h), subject to these two conditions: (1) the numerator f(h)defines a line of slope -1, (2) the function f(h)/g(h) is defined for h=0. When you do this Homework...

The problem is to find the general term ##a_n## (not the partial sum) of the infinite series with a starting point n=1 $$a_n = \frac {8} {1^2 + 1} + \frac {1} {2^2 + 1} + \frac {8} {3^2 + 1} + \frac {1} {4^2 + 1} + \text {...}$$ The denominator is easy, just ##n^2 + 1## but I can't think of...

Homework Statement https://web.iit.edu/sites/web/files/departments/academic-affairs/Academic%20Resource%20Center/pdfs/Mohr_Circle.pdf[/B] why will σ_xl disappear in the equation ? [ [σ_xl - (σx -σy)/ 2 ] ^2 ] = ( [ (σx -σy)/ 2] ^2 ) is it wrong ? Homework EquationsThe Attempt at a...

The derivative for the parametric equations ##x=f(t)## and ##y=g(t)## is given by ##\frac{dy}{dx}=\frac{\Big(\frac{dy}{dt}\Big)}{\Big(\frac{dx}{dt}\Big)}## The proof of the above formula requires that ##y## be a function of ##x##, as seen in...

Homework Statement // given in JavaScript var amount = parseInt($('input[name="amount"]').val()); var downpayment = parseInt($('input[name="downpayment"]').val()); var interest = parseInt($('input[name="interest"]').val()); var months = parseInt($("#months").val());Homework Equations What is...

Homework Statement Statement:[/B] Let y = u(x)v(x). a) Find y' , y'', and y''' b) The general formula for yn, the n-th derivative, is called Leibniz’ formula: it uses the same coefficients as the binomial theorem , and looks like https://i.gyazo.com/53728964c6b3ef142fd70f600c29e037.png Use...

Consider a surface defined by the equation ##g(x, y, z)=0##. The intersection between this surface and the plane ##z=c## produces a curve that can be plotted on an x-y plane. Find the gradient of this curve. By chain rule, ##\frac{\partial y}{\partial x}=\frac{\partial y}{\partial...

I am calculating damage per second (DPS) for a character in a video game. This character strikes twice every 4th attack. (Doublestrike) This extra strike does 50% of your attack damage. This extra strike, along with all other strikes, can crit, meaning meaning they do twice the damage. My...

Homework Statement from the notes , the author stated that force has the formula of ρ(L^2)(v^2) and also = ρ(L^3) i think there's something wrong with the ρ(L^3) Homework EquationsThe Attempt at a Solution IMO , ρ(L^2)(v^2) can also be written as ρ(L^4)(T^2) , so Force is proportional to...

Homework Statement part c Homework Equations The Attempt at a Solution Jm+2=m+2-1/m+2 Jm=m+1/m+2 Jm hence Jm+2<Jm should i expend Jm+2 Jm+1 Jm to the term J0 then compare them? why the inequality is <= but not <? should i use M.I to proof it??[/B]

hi. i want to know how much force acts on every piston in an v8 engine and how much torque acts on the crankshaft . pls also tell me how much energy is created in an engine and how much of it is lost, say in friction and other factors. pls tell the force at start of engine in car and at...

wrobel submitted a new PF Insights post Rare Kinematic Formula Continue reading the Original PF Insights Post.

Are there any equations out there which can calculate the heat dissipation of a water-cooled radiator with a fan on it? I would assume some of the variables would include: -Volume of the radiator (240 x 199 x 45mm)=2149200mm^3 -Specific heat of water (4.187 kJ/kgK) -Specific heat of the copper...

for my physics class a was working on a formula about conservation of energy could you guys tell me if it is somewhat right and stuff i forgot about =constant/s so this is my try making a formula about the total energy in the universe

Hello all, First of all I want to let you know that my question is very basic and that it involves discrete changes in velocity due to acceleration for every given Δt. I was trying to derive the relationship between the distance and acceleration in a formula and here's what I came up with: 1...

Revolutions(RPM) * Pi/30 = Angular velocity What is the purpose of pi/30 in the equation. Why can we not just use rpm as unit of measure of angular velocity?

Hi I am having trouble with the derivation of the Rayleigh-Jeans from the steps shown at the hyperphysics web site. I have emailed Dr. Rod Nave who is listed as the person-in-charge at the site but I have been able to get a reply. It would really be much appreciated if anyone can have a look at...

Hi. I would like to ask a simple question. Here is the link of the file I study on. Immediately before the formula 4.9 for Biot number. Lc=V/As but I cannot understand it and I think it is not clear enough. How it appears, for what the word "characteristic" stands for, for example a pipe? For...

Hi All, Regarding the Euler's formula Vertices - Edges + Faces = constant, for planar graphs what is the most frequent number? 1 or 2? I understand that it is 2 when the outer region is included in the count. Best wishes, DaTario

Homework Statement A model boat 1/100 size of its prototype has 0.12N of resistance when stimulating a speed of 5m/s of the prototype , what is the corresponding resistance in the prototype ? water is the fluid in both cases and frictional forces can be neglected. Why the author need to...

I tried rearranging the formula multiple times but the answers I got made no sense. The equation I have to use is a=(v2-v1)/t I need to solve for v2 v1=1 a=2.27 t=3.88 If you cold help me rearrange the formula correctly that'd be great! Thanks!

So I've been wondering if anyone knows a formula to relate these quantities in this scenario. Say I have a container that originally has some volume, some amount of atoms at a constant velocity and is at a certain pressure and is airtight and then connect it to another container that has twice...

Homework Statement [/B] In a set of axes where the z axis is the axis of rotation of a finite rotation, the rotation matrix is given by ## \left[ \begin{array}{lcr} &\cos\phi \ \ \ &\sin\phi \ \ \ &0 \\ & -\sin\phi \ \ \ &\cos\phi \ \ \ &0 \\ &0 \ \ \ &0 \ \ \ &1 \end{array} \right]##...

There are two formula as below: 1. PV = nRT 2. Pv = RT (v is specific volume) What is the difference between them?

I am working on a simple space game, and I am having trouble figuring out how to do collisions correctly; things bounce in the wrong direction or just get stuck together. Here are the things that are given: Direction of objects A + B in degrees Speed of objects A + B in meters per second Mass...

I'm a bit stuck on this question (which is homework so hints are more welcome than outright answers). The question is: A very long wire carrying a current I is moving with speed v towards a small circular wire loop of radius r. The long wire is in the plane of the loop and is too long to be...

Hello all, I have a question, probably a controversial one: is there any difference between the Formula- P= V*I and P= I*V? is there any technical difference between the two expressions? thank you.

Hi, Can someone please decipher the following "beautiful" formula for me? http://mathworld.wolfram.com/ReciprocalMultifactorialConstant.htmlm(19)=1/19!+?+?+... * What is the next/previous addend in the series sum? Thanks in advance.

I want to know how mathematician got the idea of external division , how they can say that a point can divide a line externally, what's the reason behind this discovery . Why they discovered it.

Homework Statement Homework Equations I want to say I should be using this one: aA = aB + α x rA/B + ω x (ω x rA/B) The Attempt at a Solution The only problem is that if I'm supposed to find the angular acceleration then i'd have to take the... inverse of the cross product? To get it back...

Homework Statement Use Cauchy’s integral formula to evaluate the integral along γ(t) of (z/(z+9)^2)dz where γ(t) = 2i + 4e^it , 0 ≤ t ≤ 2π. Homework Equations Cauchy's integral formula The Attempt at a Solution I was just wondering is the integral not just zero by Cauchy's theorem since...

A few months ago I posted a simple equation that shows an interesting nexus between the difference between the squares of successive integers and the sums of their roots, viz: Where y = x+1 then (x + y) = (y2 - x2) Recently I expanded this relationship as follows: Where n is any integer and y...

Homework Statement I understand how to find the resonant frequency of a closed pipe but when the thickness of the walls varies, the resonant frequency varies. Is there a formula that i can use to find the resonant frequency of a closed pipe given the length, temperature, speed of sound and...

I have a liquid scintillator, the electronics system, and a beam of neutrons from a reactor. How do I calculate the neutron flux? Cold anybody give me a formula or equation? Not this equation: phi = n X v, where phi - flux, n = number of neutrons per cm3, v = velocity of the neutrons, because I...

Homework Statement I have to prove some formula, I got stuck in the process. Homework Equations Formula to prove: v_{0} = \frac{M+m}{m}\sqrt{2gus} Valid equation that should get me to this formula: \frac{m^2v_{0}^2}{2(M+m)} = gmus The Attempt at a Solution v_{0}^2=\frac{2(M+m)}{m^2}gmus...

Hello, This is a very basic question. I am sure I am doing something wrong in the derivation as shown in the picture. But I am not able to find out where I am doing it wrong. It would be very helpful if you can pls. let me know what I am doing wrong here. Thanks

Homework Statement what is the meaning of number of diameter N ? why the author make L = ND ? and then divide it by D ? Homework EquationsThe Attempt at a Solution

Given: A right triangle and all the sides of the triangle are whole numbers. Does this imply that all the sides of the triangle can only be found by using the Pythagorean triple formula? Another words, is it possible that a right triangle can exist with whole number sides that escape the...

Homework Statement I have this Doppler effect formula, but I don't know how it was derived, I can't repeat the process myself to solve for speed of the source, I would really appreciate if someone could mathematicly solve this in steps, thank you very much. Homework Equations...

Hi everyone and greetings from a new member. I'm looking for informations about how to estimate the wear due to friction of a rope as it passes through a pulley. Couldn't find anything really consistent about the subject. I looked at the capstan and Archard equations but didn't manage to link...

Hello everyone, Please can someone help me rearrange this equation to make t the subject: Relevant equations: My attempt at a solution: Thank you all for you help

Hello I had two doubts, I know that medical physicist when working with x-rays use the formula D(x)=alfa*mu*I(x)/rho where D(x) is the dosis absorbed Alfa is the factor of the energy that damages Rho is the density mu is the absorbtion coefficient My doubt is the following: Does this formula...

I am trying to calculate the Lyman-alpha wavelengths of photons emitted from different hydrogen-like atoms such as deuterium and positive helium ion 4He+, using the relation 1/λ = R*|1/ni^2 - 1/nf^2|, where R is the Rydberg constant and ni and nf are integer numbers corresponding to the initial...

Homework Statement How do we obtain: w = q - Δh Homework Equations The Attempt at a Solution If you neglect the second half of the SFEE and simplify we get: What is the next step from the last line in the above image to w = q - Δh I mean dw/dt = dq/dt - Δh so if we multiply by dt we...

For the function given below find a formula for the Riemann sum obtained by dividing the interval [1,5] into n equal subintervals and using the right-hand endpoint for each c subscript k. Then take a limit of thissum as n-> infinite to calculate the area under the curve over [1,5]. Below you...

so I've been taught basic rearranging of formula which I've found easy now I am given questions which are obviously a lot harder and I've entered the mind black hole if you could point me in the right direction with this where I go wrong make L the subject $f=\frac{1}{2\pi}$...

hi all ,does anyone know of good learning resources for rearranging formula ,starting from the basic level all the way to advanced levels ? many thanks