Bernoulli's Definition and 306 Threads

I have in my notes that as speed of a fluid increases, density decreases. This doesn't make sense to me. When a fluid passes through a narrower area, doesn't that mean that its density is increasing because it is now packed more tightly together? If this is the case, shouldn't the rule be that...

Homework Statement An old two pipe system runs through a hill, with distances D_a=D_b=30m and the total Distance is D=110m. On each side of the hill, the pipe radius is .0200m. However, the radius of the pipe inside the hill is no longer known. To determine it, hydraulic engineers first...

According to Bernoulli's law pressure and velocity along a stream line are related to each other. What is the most correct way to describe it ? A. First the pressure change and then the flow velocity change. the change in the flow velocity is caused by the pressure change (F=Ma> PA=Ma). B...

Homework Statement A simple U-tube that is open on both ends is partially filled with a liquid of density (491 kg/m^3). Water is then poured into one arm of the tube, forming a column height of (8.2 cm). The density of the heavy liquid is (1000 kg/m^3). What's the difference , h, in the...

Homework Statement In the figure below, fresh water flows through a horizontal drainage pipe and then out into the atmosphere at a speed v1 = 15 m / s. The diameters of the left and right sections are 5.0 cm and 3.0 cm. (a) Find the mass of water that flows into the atmosphere in one...

Do anyone know about any website were the Bernoulli equation is developed from the Newton Second law and without the assumption of steady state and incompressible fluid? With differential calculus, please. My textbook just give out the equations for unsteady state and incompressible, but I...

[SOLVED] Bernoulli's Equation Prob? Homework Statement EXACT PROBLEM: Water emerges from a faucet of diameter 'd' in steady, near vertical flow with speed 'v'. Show that the diameter of the falling water column is given by D = d[v^2/(v^2+2gh)]^(1/4), were 'h' is the distance below the...

"Wing Commander Physics" and Bernoulli's Principle? Hey guys, I was wondering if you could lend me a hand on how to deal with a particular situation I have. I have an assignment regarding bad physics in movies, and the movie I chose is really an easy one to bash: "Wing Commander" (1999). If...

According to bernoullli, assuming ideal flow, if you increase the area of a tube... vessel in this case, pressure increases as well however, high blood pressure is caused by constriction of arteries... so is blood flow just not ideal then?

Homework Statement The water supply of a building is fed through a main entrance pipe 6.0 cm in diameter. A 2.0 cm diameter faucet tap positioned 2.0 m above the main pipe fills a 25 liter container in 30 s. (a) What is the speed at which the water leaves the faucet. (b) What is the gauge...

Jane goes to a juice bar with her friend Neil. She is thinking of ordering her favorite drink, 7/8 orange juice and 1/8 cranberry juice, but the drink is not on the menu, so she decides to order a glass of orange juice and a glass of cranberry juice and do the mixing herself. The drinks come in...

There's a simple explanation that wasn't covered in the last thread about this. Start off with an ideal incompressable fluid with no viscosity in a pipe. The flow rate in the pipe is fixed. The amount of mass per unit time moving past any cross section in the pipe is constant, otherwise mass...

Lets assume that vacuum empty cylinder has a spinning top. Rotational speed at circumference is V. Cylinder axis is oriented verticaly. Cylinder is surranded by air at athmospheric pressure and weights slightly more then displaced air. According to Bernoulli principle there should be...

I have this question that I have stumped on for quite some time, discuss how the continuity equation and bernoulli's equation might relate to one another? Please post if you can explain this to me? Thx

Homework Statement i need to make a sample problem for a physics project using Bernoulli's equation, the real life situation it must be applied to is flight Homework Equations P+.5pv^2+pgy = constant The Attempt at a Solution this physics is too involved for my understanding. I've...

If anyone can help me, I will be extremely grateful: i need to make a sample problem for a physics project using Bernoulli's equation: P+.5pv2+pgy = constant i don't know how to make a problem using this equation because the physics are a bit advanced for me and i don't know realistic...

Homework Statement The water supply of a building is fed through a main pipe 6.00 cm in diameter. A 2.00-cm-diameter faucet tap, located 2.00 m above the main pipe, is observed to fill a 25.0-L container in 30.0 s. (a) What is the speed at which the water leaves the faucet? (b) What is the...

Hello Physics Masters! I would like to calculate pressure drop values caused by friction as water flows through a a smooth pipe at different velocities and different internal pipe diameters. I ONLY want the pressure drop values caused by friction, not the pressure drop values caused by...

Liquid flows through a 4cm diameter at 1m/s. There is 2cm diameter restriction i n the line. Find fluid velocity in restriction. p_1+ \rho\cdot g \cdot y_1 + \frac{1}{2}\rho \cdot(v_1)^2 = p_2+ \rho \cdot g\cdot y_2 + \frac{1}{2}\cdot \rho\cdot(v_2)^2 I know I have to use Bernoulli's...

When I check units in the terms in Bernoulli's equation, they do not match: Given: p1 + 1/2 (row) v1^2 = p2 + 1/2 (row) v2^2 On the left hand side of the equation, the first term, pressure must have units of force/unit area; say lb/ft^2. The units in the second term are the product...

Nevermind, I think I figured out why I needed to set P2 = 0 in the first problem. Actually, what I needed to do was set P2 = 1 atm, and when I calculated force, I needed to use F = (P2 - P1) * A to get the right answer. So just ignore this...but here's the post anyway: For anyone who has...

Water flows throgh a horizontal tube of diameter 2.8cm that is joined to a second horizontal tube of diameter 1.6cm. the pressure difference between the tubes is 7.5kPa. which tube has the higher pressure flow? which tube has the higher speed flow? find the speed of flow in the first tube...

"An artery of radius 1 mm leaves the heart and travels upward 0.3 m to your shoulder, where it breaks into 3 smaller veins, each of radius 0.5 mm. Blood flows through the artery at a speed of 0.8 m/s as it leaves the heart. The density of blood is 1050 kg/m^3." I determined that the blood...

One large pipe is splitted into 2 smaller pipes. Can we use Bernoulli's equation and say that the total head at a point in the large pipe is equal to a point at one of the 2 smaller pipes? Why is energy not conserved?

What I want to do is maintain a gas at very high pressure and temperature for propulsion purposes. The problem is containing a gas at high pressure requires a thick walled tank, and the resulting mass would obviate the advantage of having the gas at high pressure. So what I'm considering is...

A water pipe having a 2.6 cm inside diameter carries water into the basement of a house at a speed of 0.90 m/s and a pressure of 240 kPa. If the pipe tapers to 1.6 cm and rises to the second floor 7.5 m above the input point, what are the (a) speed and (b) water pressure at the second floor...

Water flows through a horizontal pipe and then out into the atmosphere at a speed v1 = 19 m/s. The diameters of the left and right sections of the pipe are 4.3 cm and 2.1 cm, respectively. (a) What volume of water flows into the atmosphere during a 16 min period? In the left section of the pipe...

I got this question on my physics test "What will happen if you blow over a piece of paper?" I answered that with enough blowing, the wind created would make the paper fly off. Apparently according to my teacher, the correct answer was that from Bernouilli's theorem, the air velocity above...

Hello, I am a student taking Conceptual Physics in College. We have just completed going over Bernoulli's Principle of lift. Please bear with me on this as it will most likely seem elementary to most of you. Below are several claims that I've heard and that my logical reasoning tells me to be...

This isn’t really homework, but it might as well be with all the calculations involved. I am trying to figure out the difference in pressures inside a pipe carrying a fluid when the pipe goes from a ¼” diameter to 1/8” diameter when the constant flow rate is 9 Liter per minute. I got an...

The velocity of the water that comes out of the opening in the attached diagram can be found using Bernoulli equation, as v = sqrt (2gh) Once the water exits the hole, I am not sure how to answer questions like the following: Can I use conservation of energy and momentum. Also can I use...

I have this problem: Water flowing in a horizontal pipe is at a pressure of 1.5 105 Pa at a point where its cross-sectional area is 1.50 m2. When the pipe narrows to 0.400 m2, the pressure drops to 1.16 105 Pa. (a) Find the water's speed in the wider pipe (b) Find the water's speed in the...

A large root beer keg of height H and cross sectional area A1 is filled with root beer. The top is open to atmospheric pressure. At the bottom is a spigot opening of area A2, which is much smaller than A1. Find the total time needed to drain the keg if H=2m, A1=.8m^2 and A2=10^-4 * A1.

This isn't really a homework problem, but my physics teacher was going over a test review and he made up some numbers on the spot for a problem involving Bernoulli's equation and a building. The specifics were, A water pipeline with the water under a pressure of 5 atm is being pumped into a...

hey can any1 help me with these 3 questions? 1. a piece of lead has a shape of a hockey puck with a diameter of 7.5cm and a height of 2.5cm. If the puck is placed in a mercury bath it floats. how deep below the surface of the mercury is the bottom of the lead puck? [2.1cm] (can anyone give...

not sure where to begin... The blood speed in a normal segment of a horizontal artery is 0.13 m/s. An abnormal segment of the artery is narrowed down by an arteriosclerotic plaque to one-fifth the normal cross-sectional area. What is the difference in blood pressures between the normal and...

I have two problems that I can not figure out. Thanks for your help. Problem #1: A horizontal pipe 10.0 cm in diameter has a smooth reduction to a pipe 5.00 cm in diameter. If the pressure of the water in the larger pipe is 8.00 x 10^4 Pa and the pressure in the smaller pipe is 6.00 x 10^4...

Hi, I need help with a project on Bernoulli's floating ball. I wanted to prove with the use of Bernoulli's equation that the the velocity or pressure in one side of the equation (the low pressure area) is lower in pressure or higher in velocity. This is what I have so far: Using: P1 +...

Hi, I'm doing a project - Bernoulli's floating ball and i am trying to explain it using bernoulli's equation: P1 + 1/2pv1^2 = P2 + 1/2pv2^2 Where P1 represents the High pressure areas surrounding the jet air and the ball (atmospheric pressure) of which I have managed to obtain its...

According to the popular interpretation of 'Bernoulli's Principle', moving air should always be associated with a lower static gas pressure than resting air, but clearly this can not be correct: If one considers a pipe with air resting in it, then the static pressure on the inside of the wall...

Can anyone help me with this sum 1^10 + 2^10 + 3^10 ... +998^10 + 999^10 + 1000^10 = ? I read that when Gauss was a kid at school he solved the simplier problem of summing all the numbers in his head between 1 and 100, before the teacher and all the other kids, by the observing the...

Ok this stuff is confusing. Can someone give me a dumbified overview of this? I don't get when/how to use the equation. There are so many different forms and variations of pressure, bernoulli's equations it gets really confusing. I don't know what to equate what to what... ugh i don't know how...

Hey, I have this experiment i have to do and i have to undnerstand Bernoulli's Principle and it is just not getting to me. I don't understand how the pressure will decrease as the speed increases, or how the pressure will increase if the speed decreases. Like in the textbook, it says...

Where is the mistake in these few simple steps ?! First, I guess that \lim_{n\rightarrow \infty}\frac{n}{6^n}=0 I'll show it using the definition \left|\frac{n}{6^n}\right|<\epsilon \Leftrightarrow \frac{n}{6^n}<\epsilon But, Bernoulli's inequality states that (1+x)^n \geq 1+xn \...

A pump and its horizontal intake pipe are located 12 m beneath the surface of a reservoir. The speed of te water in the intake pipe causes the pressure there to decrease, in accord with Bernoulli's principle. Assuming nonviscous flow, what is the maximum speed with which water can flow through...

I need some help with some review questions for the test. I am trying to check the answers I get with the ones the teacher provided, bit I'm getting stuck. Knowing which equations to use etc... would be really helpful. What is the maximum weight an aircraft with a wing area of x m^2 can...

A small circular hole 6.00 mm in diameter is cut in the side of a large water tank, 14.0 m below the water level in the tank. The top of the tank is open to the air. A) What is the speed of efflux? sqrt(2*g*h) = 16.6 m/s B) What is the volume discharged per unit time. This is...

I'm so confused here's the question... The wind blows with a speed of 30.0m/s over the roof of your house. A. Assuming the air inside the house is relatively stagnant, what is the pressure difference at the roof between the inside air and the outside air? B. What net force does this...

Hi! This is the first question on my homework, so it's suppost to be the easiest, but I'm not sure how to tackle it. It's a Bernoulli's principle problem. Here it is: A horizontal pipe 11.6 cm in diameter has a smooth reduction to a pipe 4.72 cm in diameter. If the pressure of the water...

Hello everyone, I am having some difficulty with the following problem about bernoullis principle: THe problem says that the level of liquid h = y_2 - y_1 drops at a rate \frac{dh}{dt} = -\sqrt\frac{2gh{A_1}^2}{{A_2}^2-{A_1}^2} where A_1 and A_2 are the areas of the opening (water...