Bernoulli's Definition and 306 Threads

Homework Statement Water is flowing from left to right through the system shown below. If the reading on the pressure gauge is 384 kPa, what is the power input from the pump? Ignore energy losses. Homework Equations Conservation of Mass (Q = vA) Bernoulli's Equation (Total Head = Elevation...

I'm extremely raged right now, I see people applying Bernoulli's equation at fans, atmonizers etc. Let's look at the classic example where you blow through a straw and make liquid be drawn up from a can (through a second straw)...

Homework Statement The density of the liquid flowing through a horizontal pipe is 1600 kg/m3. The speed of the fluid at point A is 4 m/s while at point B it is 8.0 m/s. What is the difference in pressure, PB - PA, between points B and A? a. -1.9 x 10^3Pa b. -3.8 x 10^4Pa c...

Homework Statement If wind blows at 35m/s over a house, what is the net force on the roof if its area is 240m^2 and is flat? Homework Equations P=F/A and P1 + 1/2pv^2 = constant The Attempt at a Solution I have no idea on how to find pressure, because if I sub it into P1 + 1/2pv^2 =...

Hey guys, just have a question because I'm having a little trouble understanding like how exactly to use the volume flow rate with bernoulli's equation. (wasnt sure which section to put this in but is more of a concept question using homework examples) Like the volume flow rate i understand...

hi experts This ought to be obvious but it sounds wrong. If I have a pipe carrying butane at a constant flow rate at room temperature fed from a liquid gas bottle without a restrictor so that the gas is almost condensing, then have a constriction in the pipe to accelerate the gas, will...

Homework Statement I must solve xy'+y+x^4y^4e^x=0. Homework Equations Bernoulli's. The Attempt at a Solution I divided the original DE by x to get y'+y \left ( \frac{1}{x} \right )=-x^3e^xy^4. Now let z=y^{-3} \Rightarrow z'=-3y^{-3}y'. I then multiplied the DE by -3y^{-4} to...

Two of the assumptions in Brenoulli's Theorem say 1. The fluid should be non-viscous 2. The velocity of fluid should be less than its critical velocity Now how can these two co-exist. We know that Vc = (N.n)/(D.p) Vc= Critical Velocity N= Raynolds No. n= viscosity coef. D= Dia of...

Homework Statement I need to find the net force acting on a flat squared roof with area A while the wind is blowing outside at some velocity, v_1. Homework Equations Bernoulli's Equation: P_1+\frac{1}{2}\rho v_1^2+\rho gy_1= P_2+\frac{1}{2}\rho v_2^2+\rho gy_2 The Attempt at a...

Homework Statement In bernoulli's equation derivation, we use Work energy theorem, in which work done is taken as change in kinetic energy plus change in potential energy. But in mechanics, i have studied, Work energy theorem is simply change in kinetic energy. So, which is correct? Pls...

Homework Statement The tip of the Pitot tube is at the top of the jet. Calculate the flowrate and the angle θ . Homework Equations The Attempt at a Solution Please see attached images. 1 is the question and 1 is my attempted solution. I think I perhaps have done the first part...

I have a venturi tube and downstream of it, there is a small secondary opening at the end of the throat. This is where the local vacuum is created as the velocity increases and the pressure decreases. This difference between this pressure and the atmospheric pressure will induce air into the...

[SOLVED] simple ODE problem, Bernoulli's Equation Homework Statement Initial value problem: Relation: t*y' - 2*[t^2]*sqrt(y) = 4*y Initial value: y(1) = 4 Homework Equations general form of Bernoulli's equation: y' + a(t)y = b(t)*[y^n] First order, linear ODE form: y'...

1. The density of the liquid flowing through the horizontal pipe in the drawing is 1200 kg/m3. The speed of the fluid at point A is 7.5 m/s while at point B it is 11 m/s. What is the difference in pressure, PB – PA, between points B and A? 2. Bernoulli's Equation P1 + 1/2 pv1^2 + pgy1 = P2 + 1/2...

Homework Statement Skill Level II Problem Use the Continuity equation to explain how jet engines provide a forward thrust for an airplane. Skill Level Problem III The Contintuity Equation is related to a powerful equation from fluid dynamics called Bernoulli's Equation. Do the research...

I'm not sure if this is the right place to post this (because it isn't homework), but it could easily be a homework question. This wiki page, http://en.wikipedia.org/wiki/Siphon#Explanation_using_Bernoulli.27s_equation", shows how to apply Bernoulli's equation to a siphon where both the surface...

Hi guys, I'm building a science exhibit demonstrating Bernoulli's Principle for a competition. It's similar to the setup found here () at 2:51 to 2:57. So, I tried a ping pong ball and a hair blower. Doesn't work. Firstly, the hair blower is pretty weak, so when the setup is in upright...

Blood flow... Relating the Continuity of flow equation (A1v1 = A2v2) with Bernoulli's equation, with Poiseuille's equation. Continuity of flow equation tells us this: when the area decreases, the velocity increases in order to maintain a constant flow rate. Bernoulli's equation tells us...

Homework Statement Here is the problem, I am able to calculate the velocity, but I don't know where to go from there. A legendary Dutch boy saved Holland by plugging a hole in a dike with his finger, which is 1.10 cm in diameter. (a) If the hole was 2.40 m below the surface of the North...

Homework Statement A sealed tank is completely full of water. The water in the tank is stationary. The gauge pressure at the top of the tank is 150 kPa. A mechanical failure of the tank creates a hole of area 1.00 cm2 at the top of the tank. Water flows out of the hole, rising in a vertical...

Homework Statement The gauge pressure in a horizontal fire hose of diameter 5.4 cm is 3.0 x 105 Nm-2 and the speed of flow is 4.0 ms-1. The fire hose ends in a metal tip of diameter 2.5 cm. What are the pressure and the speed of the water in the tip? Homework Equations...

Homework Statement Consider a water pipe that tapers down from a diameter d_A = 5.0 cm at end A to a diameter d_B = 2.5 cm at end B. At each end a vertical pipe that is open to the air at the top is attached to the pipe. Assume that water flows through the pipe at high enough pressure that the...

1. Where did i go wrong, please explain. Homework Statement The Horizontal Venturi pipe has a cross sectional area of 50cm^2 at the wider portions(A_1) and 25cm^2 at the constriction(A_2). Air density of 1.29 kg/(m^3) is flowing in the pipe. Theres a attachment of a picture to reference...

1. what is the Bernoulli's Principle ?

Jacob Bernoulli's expression for e: n-> LIM (1+1/n)^n converges much slower than n-> LIM (n-1/n+1)^(-2/n) is this a better expression for e? edit! n-> LIM (n-1/n+1)^(-n/2) sorry for the typo!

Hi guys, I have what I hope is an easy question. When you put your thumb over the end of a water hose, why does the water coming out feel like it has a HIGH pressure (meaning, it will hurt somebody being sprayed by it) EVEN THOUGH Bernoulli's Principle says that the pressure should...

Recently, I was discussing airfoils with a friend. I thought I was being clever and said "No, Bernoulli's Law isn't what's keeping it in the air - that's a fallacy. If it were Bernoulli's Law keeping it in the air, then airplanes would not be able to fly upside down. What keeps a plane in the...

I have been doing some self study on differential equations using Tom Apostol's Calculus Vol. 1. and I got stuck on a problem (problem 12, section 8.5, vol. 1).Homework Statement Let K be a non zero constant. Suppose P and Q are continuous in an open interval I. Let a\in I and b a real number...

Homework Statement A perfectly spherical golf ball with a specific gravity of 0.55 is dropped from a height of 10 m above the surface of a smooth lake. Determine the maximum depth to which the ball will sink. Neglect any frictional loses or energy transferred to the water during impact and...

Homework Statement Consider a spherical bubble of radius R,rising in water. Using Bernoulli's equation show that the rate of rise of the bubble is: U=(2/3) \sqrt(gR) Homework Equations Bernoulli Equation Potential Flow The Attempt at a Solution I have considered the...

ap physics student, on this for the first time The flow rate of water through a garden hose is 60 cm3/s, and the hose and nozzle have cross sectional areas of 5.1 cm2 and 1.6 cm2 respectively. (a) If the nozzle is held 11 cm above the spigot, what are the flow speeds through the spigot...

Homework Statement You have a tank that is on top of a 1 meter post. The tank is filled with water to an unknown height. At the bottom of the tank there is a 3.5mm hole that is squirting out water a horizontal distance of .6 meters. Homework Equations Bernoulli's equation p1...

Hello, I am having some difficulty in understanding the terms in Bernoulli's equation. Bernoulli's equation is given as follows: P + 0.5(rho)(V^2) + (rho)gh = constant (along a streamline) The first term (P) is the Static Pressure. The second term (0.5(rho)(V^2)) is the Dynamic...

Homework Statement The water supply of a building is fed through a main pipe 6.00cm in diameter. A 2.00cm diameter tap is located 2.00m above the main pipe. When the tap is turned on it fills a 25.0L container in 30.0s if no other taps are turned on at the same time. a) What is the speed at...

Homework Statement A tank is filled with water to a depth of 1m. A hole of cross section 1 cm^2 at the bottom allows the water to drain out. At what distance below the hole the cross sectional area of the stream is 0.9 times the area of the hole. Homework Equations The Attempt at a...

Homework Statement Show that if n belongs to N, and: An: = (1 + 1/n)^n then An < An+1 for all natural n. (Hint, look at the ratios An+1/An, and use Bernoulli's inequality) The Attempt at a Solution I think i have a vague idea of what to do here, like I am sure induction is involved in this...

Homework Statement A tank with a small circular hole contains oil on top of water. It is immersed in a large tank of the same oil. Water flows through the hole. The ratio of the cross sectional area of tank to that of hole is 50. The density of oil is 800 Kg/m^3. Find 1)The velocity of water...

The Bernoulli's principle ? I'm having difficulty understanding the principle. Particularly the concept of lowering potential energy. What i am also interested in is the effects of this principle. Would a segment of hose with water running through it be easier to lift than the same segment...

Bernoulli's equation as I understand it is an expression (or possibly a consequence) of conservation of energy in an incompressible fluid flow. My question is: how can the "standard" Bernoulli's equation ever apply to an ideal gas? Wikipedia gives a different version of Bernoulli's...

So, I need some info on how to get the data that I'm missing on my project. My english is not great and is very hard for me to try figure this out by myself so if you guys could help me out I will appreciate. I need to know how much vacuum in HG I will get at the B on my picture, and if will...

I know that a faster moving fluid creates a lower pressure which can give lift to an airplane. Although I do not know what the opposite reaction is during lift.You have the upward force on the wing, but where is the downward force that should be opposite being exerted. Does the downward force...

Homework Statement A very simplified schematic of the rain drainage system for a home is shown. Rain falling on the slanted roof runs off into gutter around the roof edge it then drains through downspouts into a main drainage pipe M below the basement which carries the water to an even larger...

I'm no good with fluid dynamics. I really am willing to improve can someone point me to what equation I should use for this question. I assume its bernoullis equation? I've drawn a diagram of how I see the pipe. To make things worse I haven't done fluids in quite a while. Homework...

why can't we use bernoulli's equation for high velocity flights ? what changes when air is compressed ? does density change ?

In my Fluid Mechanics textbook they use the Euler equation to derive Bernoulli's principle for incompressible fluids with gravity. In my earlier introduction to mechanics textbook they used energy conservation. Is there a reason for using the Euler equation or is it just to show more ways to...

Homework Statement \frac{dy}{dx}= - \frac{c}{n} y^{n} Homework Equations y' + p(x)y=q(x) y^n The Attempt at a Solution im strictly speaking able to do it , i just wanted to kno whether I am on the right track using bernoulli's equation, not that i can see any other...

[SOLVED] Bernoulli's equation & U-Tube Homework Statement Air flows through this tube at a rate of 1200 cm^3/s . Assume that air is an ideal fluid. What is the height of mercury in the right side of the U-tube? Homework Equations Bernoulli's Equation (P1 + 1/2*rho*V1^2 +...

Situation: a car moving quickly down the road with a window open. Car reference frame: the air outside is moving, thus has lower pressure, thus the air inside the car will be sucked out the window. World reference frame: the air in the car is moving, thus has lower pressure, thus the...

Hi guys, we use bernoulli's equation for inviscid flows, like water and gas. But for gases, we also have the ideal gas law, let's say if i want to calculate energy within a gasous system, like a gas in a fixed space (e.g. a room; a tank etc...) Looking at ideal gas law, PV=mRT, PV will give...

It has always been explained to me that balls curve because a thin layer of fluid adheres to its surface as a boundary layer. This boundary layer retards the flow on one side of the ball and speeds it on the other. And then Bernoulli's principle is applied to make the pressure difference happen...