Bernoulli Definition and 329 Threads

Hey guys, I've got a pressure problem that I've been stuck on for a while now and was just wondering if somebody could give me some guidance in solving it. The problem is as follows: "A water tank open to the atmosphere at the top has two small holes punched in its side, one above the other...

[SOLVED] Bernoulli, Poisson & Normal Probability Homework Statement Every chocolate bar contains 100 squares, with 10% of the individual squares presenting a health hazard to people consuming them. (a) Using the Binomial, Poisson and Normal distributions, write down formulas for...

Homework Statement With a little effort we can blow across a dime on a table and make it land in a cup, but how can it be explained? I know that is because the bernoulli princle (qv^2)/2 +qgh + p = const Homework Equations but what happens with pressure during this action?

Hello, I am studying fluid mechanics and we have worked on Bernoullis theory a lot over the past couple of years. I am really struggling to grasp the concept of the theory and what it is about. Bernoulli states that in a system the pressure will always be constant (hence Pt = Ps + Pv + Ph) at...

I have this problem that I have been trying to figure out all week and can't seem to get. I have a process that produces one of two outcomes "OK" (in some unknown porportion: p) or "NOT OK" (in porportion q = 1-p). Let's say I ran the process [x] times (like 20) in a row and it reported...

A hydroelectric power station is supplied with water from a reservoir. A pipeline connects the reservoir to the turbine hall. The flow of water through the pipeline is controlled by a valve which is located 500 metres below the surface of the water in the reservoir. The lower end of the...

Homework Statement I have a pump pumping 50 gallons per minute of water from a tank at atmospheric pressure to another tank at atmospheric pressure. The main discharge pipe (internal diameter is 4.03 inches) is divided onto 5 smaller pipes (internal diameter is 1.05 inches). The pressure on...

Homework Statement Let x/((e^x)-1)= 1 + B1x+B2((x^2)/2!) + B3((x^3)/3!)+… where Bn are called the Bernoulli numbers. Determine B1 , B2 and B3. Homework Equations I think this one: (1+x)^n = 1 + nx + ((n)(n-1)/2!)(x^2)+... The Attempt at a Solution i wrote it in this form...

Homework Statement Solve the equation y' = \frac{2xy}{x^2-y^2} Homework Equations The Bernoulli multiplier thing which I don't feel like typing out. The Attempt at a Solution I'm attempting to separate the equation so I can have y and dy on one side and x and dx on the other, but the...

Homework Statement x^2y' + 2xy = 5y^3 Homework Equations Bernoulli Equation The Attempt at a Solution so... v=y^-2, y=v^(-1/2) y' = -1/2v'v^(-3/2) moving everything over... y'/y^3 + 2/(xy^2) = 5/x^2 and plugging everything in... -1/2v' + 2v/x = 5/x^2 v' - 4v/x = -10/x^2 v' -...

it...just...does...not...make...the...slightest...sense...to...me...:confused: Here it goes... y' + \frac{y}{x} = 3x^2y^2 This is a Bernoulli equation with P = \frac{1}{2}, Q = 3x^2, and n = 2. We first divide through by y^2, obtaining... \frac{1}{y^2} \frac{dy}{dx} + \frac{y^-^1}{x} =...

Consider a sequence of Bernoulli trials where we play until the rth success is attained. Denote \Omega the fundamental set. We define a function P on \Omega by saying say that an elementary event that is a k-tuple has a probability of occurence of q^{k-r}p^r because the trials are...

Solve the equation \frac{dy}{dx}-y = -xe^{-2x}y^{3} . So a Bernoulli differential equation is in the form \frac{dy}{dx} + P(x)y = Q(x)y^{n} . Isn't the above equation in this form already?I set u = y^{-2} and \frac{du}{dx} = -2y^{-3 . So -2y^{-3} + 2y^{-2} = 2xe^{-2x} . From here what do...

So, I'm tweaking my understanding of applying Bernoulli's equation, and I'm having a problem understanding the change in pressure and velocity when a fluid flows down a tube of constant diameter. The way i see it; either the pressure changes with height and the velocity stays the same, or the...

Let us assume that X has Bernoulli distribution, with P(X = 1) = p and P(X = 0) = q = 1 - p. Of course, E(X) = p and Var(X) = pq. Now, since pq < 1, standard deviation is bigger than variance. I have got the following question: Does this fact make standard deviations and theorems based on...

Hello everyone! ITS ME! I'm having a good time with some Bernoulli differential equations, and yet it didn't work. Here is the directions: A Bernoulli differential equation is one of the form: http://cwcsrv11.cwc.psu.edu/webwork2_files/tmp/equations/c4/3f85cf0e6820be855c6d2a21d051b71.png...

Hi I'm doing a small induction proof for bernoullis inequailty: Proof: Given the inequality A(n) = (1+x) ^n \geq 1+nx r \geq -1, n \in \mathbb{N} Initial step: A(n=1) is true cause (1+x) \geq 1 + x is true. Induction step: A(n) is true is since n = 1 and r \geq -1 so 0 \geq 0...

let be the Bernoulli formula for calculating an integral in the form: \int{f(x)dx}=C+\sum_{n=1}^{\infty}(-1)^{n}x^{n}\frac{d^{n}f}{dx^{n}}\frac{1}{\Gamma(n)} my question is..could we calculate the integral from this series?..thanks.

can someone explain how to solve the bernoulli equation? I'm having a hard time understanding...

I cannot get the correct answer to this for some reason: t^2y'+2ty-y^3=0 I use the substitution v=y^{1-n}=y^{-2}\implies y=v^{-\frac{1}{2}} and come up with y'=-\frac{1}{2}v^{-\frac{3}{2}} and y^3=v^{-\frac{3}{2}}. -\frac{1}{2}t^2v^{-\frac{3}{2}}+2tv^{-\frac{1}{2}}-v^{-\frac{3}{2}}=0...

Can someone explain to me Bernoulli's principle as simply as possible? Would this principle would be the same when applied to a ball as opposed to a plane's wing? Thanks a lot! :biggrin:

Was wondering if it was possible to derive the best possible shape of a boat hull to achieve maximum speed? As it is the equation on how to calculate the speed of a sphere moving in water... or else I am just totally wrong and you can bluntly ignore this post :-p

I'm not sure completely of this. Can you confirm if, assuming IDEAL (Bernoulli) flow there is a loss of stagnation(total) pressure in the geometry attached. I think there is a loss of stagnation pressure indeed. The flow enters with a stagnation pressure Po1, pass through an orifice at 2...

P_1 + \frac{1}{2} \rho (v_1)^2 + \rho g h_1 = P_2 + \frac{1}{2} \rho (v_2)^2 + \rho g h_2 In this equation (and regular energy equations for that matter) is g= 9.8 or -9.8 m/s^2 ? To make sense mathematically I believe it has to be 9.8 or else pressure and velocity would increase as a...

In a bourbon distillery plant, the refined product, approximated as 40% by weight ethanol, 60% by weight water, is pumped through a plumbing system. At the OUTLET, where the inner diameter of the pipe is 5.08cm, the product fills an aluminum open cylinder (Diameter .442m, height 1.26m) in 98.9...

My statistical dynamics and other useful areas of physics was sorely lacking in my undergrad education. Take this for instance, at work I need to calculate the gas flow rate from a tube into a very large chamber. I know the diameter of the tube and pressures of the gas. Bernoulli's equation...

Hi! I'm a UK based student undertaking A-Level Physics. I am now in my second year completing my majour investigation. We are allowed to study and investigate any physics phenomina(sp) of our choice, I have decided upon a ball in a jet looking into the effects of Bernoulli. One of the...

I have read and understood the explanation of the Bernoulli principle based on conservation of energy, but what I would like is a more intuitive way of picturing just how the reduced pressure develops in, say, a venturi tube. I want to be able to mentally track an element of the fluid and...

For fourty years the Bernoulli terms of H+Z+v^2/2g = K offered me a seemingly perfect tool for hydraulic engineering. Suddenly the wheels have fallen off this wagon because v^2 in a STRAIGHT line has a potential equivalence of H... v^2 in a CIRCULAR path has 2H equivalence ? A Newtonian...