Bernoulli's Definition and 322 Threads

hello everyone, I am preparing myself to do the Bernoulli's theorem experiment using the apparatus and I want to go to class knowing what I'm doing and how things work. I'm looking online to find how the apparatus works but I can't find anything. I was wondering if maybe one of you could help me...

Homework Statement What gauge pressure in the water mains is necessary if a fire hose is to spray water to a height of 25 m? Homework Equations Bernoulli's equation(?) The Attempt at a Solution I tried figuring out what water velocity was needed to make the water spray up 25...

Homework Statement I'm interested in an explanation of the forces/principles involved in the following scenario: There are two syringes, level with one another, containing the same volume of water. The difference between the syringes is the gauge of the needle; one is of greater diameter...

Hi all - I was having a debate with some students in my flipped class today and I can't wrap my head around Bernoulli's Principle as it relates to the sea. Can anyone explain how Bernoulli's principle works with a sail boat? I don't know how the force vectors resolve to push a sail boat...

i heard that aeroplanes are an application of benoulis theorem. Can you please explain it to me.

High school student here trying to learn fluids. This is not a homework question, just a concept that I am trying to grasp but can't. The picture below is in my book: The book tells me that the acceleration of the fluid after experiencing the decrease in cross sectional area is due to a...

(1) Hey everyone, I'm only having trouble with part (b) of this problem. I attached a picture of the problem and its diagram. (2) x=vt the x(t) kinematics equations Bernoulli's equation (3) I set the equations for distance as equal: 2√(y1(y2-y1))=2√(y1'(y2-y1')) But I...

please note in the process proving bernoulli we use the CONTINUITY equation.Consider a situation wherein a pitot tube is used to measure pressure/velocity in a steady flow(picture attached for reference).Here we use bernoulli for pressure measurement.we apply the bernoulli theorem for a...

Homework Statement For the pipe reducer shown in Figure 6.27 in your textbook, the pressure at point A is 45.8 psig and the pressure at B is 39.5 psig. Calculate the velocity of flow, in ft/s, of the water at point B. State your answer to one decimal place. Example: 25.6 Homework...

Hi everyone, I am currently doing Physics at UNI but I haven't done it in high school. I was wondering if you guys can help me by guiding me on what to do? Much appreciated. I am not doing a Physics Degree. I am doing Physics as an online course as an elective and I have no idea what the...

Homework Statement Hello everybody :) Now, I have a differential equation to solve. Its a Bernoulli's type of eq. Homework Equations (2x2lny-x)y' = y The Attempt at a Solution I tried of putting it in this way: y'/y = 1/2x2lny-x and then considerin z=1/y, but it doesn't seem...

why is when working with Bernoulli equation the absolute pressure that we are NOT looking for has a gauge pressure = 0 and only atmospheric pressure while the one we are looking for has both? is this a rule somehow ?

Homework Statement There is a ping pong ball being lifted and suspended in the air by a hair dryer. A.)What is the upward vertical force needed to suspend the ping pong ball? A ping pong ball has a Mass of about 2 grams. B.)If the pressure underneath and inside the ping pong ball is 1 atm...

Homework Statement Prove Bernoulli's Inequality: if ##h>-1## (1+h)^n \geq 1+hn Homework Equations Binomial Theorem (a+b)^n=\sum_{k=0}^{n}\binom{n}{k}a^{n-k}b^{k} The Attempt at a Solution If ##h=0## (1+0)^n=1 1=1 If ##h>0## This (1+h)^n \geq 1+hn Implies...

Homework Statement The following information applies to a conical diffuser: Length = 750 mm Inlet diameter = 100 mm Outlet diameter = 175 mm Water flow = 50 l/s Pressure at inlet = 180 kPa Friction loss = \frac{k(V_{1} - V_{2})^{2}}{2g} where k = 0.15 Calculate the pressure at exit...

Hi all I'm trying to teach myself a bit of bernoulli's principle but i am struggling. I'm pretty sure I need to use a combination of bernies equation and continuity equation but I get lost when trying to rearrange to find velocity. Water moves through a constricted pipe in steady, ideal...

So in a spacecraft with regular air at 1 atm pressure, a hole gets punched in it (depressurizing it). I'm looking for the Exit Velocity of the air at t=0. Using Units: Internal Pressure: Pi = 1 atm = 101300 [kg / m*s2] Air Density: \rho = 1.2 [kg / m3] And Equation: Pi = 0.5 * \rho * (Ve2)...

In his treatment of L'hôpital/Bernoulli's rule (please see attached), Rudin before ineq. ## (17)## mentions that since the differentiable quotient ##\frac{f'(x)}{g'(x)} \rightarrow A## as ##x \rightarrow a## and ##A<r## then there exists a pt ##c \in (a,b) \ s.t. \ a<x<c \Rightarrow \...

Hi guys, Could anyone explain Bernoulli's Principle to me so that it makes sense from an alternative point of view? http://hyperphysics.phy-astr.gsu.edu/hbase/pber.html I can make sense of the maths but I'm trying to understand what actually happens so I can visualise it. At first...

Even though the velocity of each particle is constatnt in staedy flow,all the fluid particles are accelerating.If velocity of every particle in the steady state fluid flow is constant how does the fluid accelerate?In that case,why is there a bernoulli theorem for unsteady flow?

Homework Statement The Attempt at a Solution Alright so first I found a relationship between z1 (depth of inflow) and z2 (depth of outflow) using mass conservation. I found that 5 * z1 = z2 and I know this is correct because the answer key has the same relationship. Next I decided to...

Homework Statement This is from the notes given to my professor and I think that it may be incorrect: Essentially we have a mercury manometer that measures the pressure difference at points 1 and 2. The fluid flowing through the pipe is water. The goal is to find the height h. Now in these...

Hi! I've been solving problems that apply Bernoulli's equations in *reasonable* situations. One comes from Serway's book. It applies the equation for the force exerted on a window pane in a stormy day. They give us the speed of the wind blowing outside, the area of the window pane, the hint...

My book says: \frac{\partial V}{\partial s}\frac{ds}{dt}=-\frac{1}{\rho}\frac{dP}{ds}-g\frac{dz}{ds} (1.28) The changes of pressure as a function of time cannot accelerate a fluid particle. This is because the same pressure would be acting at every instant on all sides of the...

EDIT: Wow, just realized I skipped a crucial step. Forgot to isolate y' while I was working out the problem and now I see you can't even isolate y' without going back to the original equation. Sorry, disregard the thread please. I'm taking an introductory ODE course (I've only taken up to...

Problem: Suppose the top of a tank is sealed and pressurized to twice atmospheric pressure. What is the speed of the liquid emerging from a small hole at the base of the tank? My Solution: Using Bernoulli's Equation, and assuming v_top ≈ 0, P_top + 1/2*ρ*v_top^2 + ρgh = P_hole +...

Homework Statement Two very large open tanks A and F (the figure (Figure 1) ) contain the same liquid. A horizontal pipe BCD, having a constriction at C and open to the air at D, leads out of the bottom of tank A, and a vertical pipe E opens into the constriction at C and dips into the liquid...

So that's the question and I'm stuck on Part b. I don't even know how to approach it. I know A1= 3A2 but I don't know A1 and I need V2 and I don't know V1 or A2. I'm just confused as to how to do this. Please help!

In Bernoulli's equation, why the work on fluid at the lower end of the pipe is taken as negative? please explain why the force is negative to displacement at the lower end?

Hi all, please i would like to know physically why when the pressure increase the speed decrease and vice-versa in a flow? Thanks

Homework Statement http://i50.tinypic.com/2m2tbaq.pngHomework Equations The Attempt at a Solution I suppose i have to apply the Bernoulli's equation here but i don't even have the slightest idea on how to apply it here. I am a dumb at fluid mechanics, any help would be appreciated.

Homework Statement Please click on the following link for the solution. http://s1292.photobucket.com/albums/b580/cathy12121/?action=view&current=Bernoullisequation_zps0d4485d7.jpg Homework Equations P1 + .5(rho)v12 + (rho)gy1 = P2 + .5(rho)v22 + (rho)gy2 The Attempt at a...

Part a is pretty easy m'1+m'2=m'3 m'=mass flow rates density1*velocity1*Area1+(analogous terms for inlet 2)=(analogous terms for inlet 3) The 3 densities are unknown but can be found from equation pressure/(RT) R=286.9 J/(kgk) This gives: density 1=1.66 kg/m^3 density 2=1.432kg/m^3...

Homework Statement A hurricane wind blows across a flat roof (5m x 17.1m) at a speed of 140km/h What is the change in pressure on the roof? (1.28kg/m^3 density of air) Homework Equations Bernoulli's Equation: p1+1/2pv1^2+ pgh1 = p2+1/2pv22 + pgh2 The Attempt at a Solution I...

Homework Statement 2xy'+y^3e^(-2x)=2xy Homework Equations dy/dx + P(x)y=Q(x)y^n v=y^(1-n) The Attempt at a Solution dy/dx-y=-y^3e^(-2x)/2x P(x)=-1 Q(x)=-e^(-2x)/2x n=3 v=1/y^2 dy/dx=dy/dv*dv/dx dy/dx=-1/2v^-(3/2)*dv/dx...

Consider two cylindrical containers of the same diameter. Fill them with a liquid to different levels. We all know that the liquid can be "siphoned" from one container to the other using a thin hose, which we will consider to be thin and of uniform diameter. Bernoulli's Equation can be...

C=v^2/2+gz+ P/p This is it... there is pressure P... and then kinteic energy per unit volume and potential energy per unit volume... adding all of these gives = conservation of energy... Why is this? (Might need to explain the conservation of energy) Preferably a more wordy reply :) thanks

Hi I made up this problem in an attempt to understand the Bernoulli equation better. Homework Statement If there is a constant cross section vent that is open to atmosphere on both sides and have a fan in the middle of the vent, and define state 1 to be at the inlet plane of the vent, state...

Homework Statement A jet of liquid of density ρ surrounded by air flows vertically downwards from a nozzle of area Ao. The stagnation pressure of the jet at exit from the nozzle is po and the surrounding air is at pressure B. The acceleration due to gravity is g. If the jet flow is...

I'm doing a project for my University. Making a design for a fish friendly dam structure that will let fish pass downstream without getting through the turbine. Quick sketch: (1/2 u_1^2+p_1+gz_1 )_inlet=(1/2 u_2^2+p_2+gz_2 )_funnel+(1/2 u_3^2+p_3+gz_3 )_fishway (1/2 u_2^2+p_2+gz_2...

I'm doing a project for my University. Making a design for a fish friendly dam structure that will let fish pass downstream without getting through the turbine. Quick sketch: (1/2 u_1^2+p_1+gz_1 )_inlet=(1/2 u_2^2+p_2+gz_2 )_funnel+(1/2 u_3^2+p_3+gz_3 )_fishway (1/2 u_2^2+p_2+gz_2...

Dear all, I have found in the literature that if there is a open tank discharging water into the atmosphere the pressure at the discharge point is considered to be equal to the atmospheric pressure. If one looks to the Bernoulli's equation and assuming no friction: Pressure +...

Solve for v1 P1 + (1/2)ρv1^2 = P2 + (1/2)(v1r1^s/r2^2)^2 I am attempting to solve this equation for v1, but I am getting stuck on some algebra. How do I solve for v1? I can't figure out how to do it without eliminating v1 altogether because I have a v1^2 on both sides of the equation.

I am reading through my fluid mechanics book and there is a derivation of Torricelli's theorem i.e. V = \sqrt{2gh}. The author's pick the datum line at the middle of the jet and show that: h = \dfrac{p}{\gamma} + \dfrac{V^2}{2g} where h is the distance from the jet to the surface of the...

Bernoulli's principal states that as velocity of a fluid increases, the static pressure decreases. I wonder if the reverse order can also happen. For example, if there is a pipe laid on the side of a mountain that is 3000 ft high. The bottom end of the pipe would be exposed to pressure at sea...

It's just a simple question about the pressure under and over the plane's wing problem that I'm trying to answer. Well, actually I've already answered it, but one just keeps bugging me. Why don't we consider the difference in altitude of the lower and upper points of the fluid (air) when we use...

Homework Statement This book is skipping over too many steps where A1 = 1m2 A2 = .5 m2 y1 - y2 = 5m The Attempt at a Solution I'm having trouble getting from one step to another. By my reckoning this equation can be simplified by removing P0 and ρ since they are the same on both...

Homework Statement A can of Coca‐Cola has a small pinhole leak in it. The Coke sprays vertically into the air at a height of 0.5 m. What is the pressure inside the can? ρ = 1.11 g/mL Homework Equations Bernoulli: p1/ρ + (v1^2)/2 +g*z1 = p2/ρ + (v2^2)/2 +g*z2The Attempt at a Solution I've...

attached is the problem. I use bernoulli's equation along a "streamline" from the inlet at point 1 to outlet at point 2. I do this to obtain the velocity V2. After working through it (simple algebra) I end up with 10.20 m/s ...seems right to me... however upon doing a conservation of mass...

Homework Statement Water is supplied to a building through a pipe of radius R = 3.0cm. In the building, a faucet tap of radius r = 1.0cm is located 2.0m above the entering pipe. When the faucet is fully open, it allows us to fill a 25-L bucket in 0.5 minutes. What is gauge pressure in the...