Bernoulli's equation Definition and 191 Threads

Homework Statement A venturi meter is a device for measuring the speed of a fluid within a pipe. The drawing shows a gas flowing at a speed v2 through a horizontal section of pipe whose cross-sectional area A2 = 0.0600 m2. The gas has a density of ρ = 1.60 kg/m3. The Venturi meter has a...

Homework Statement Water moves through a constricted pipe in steady, ideal flow. At one point, where the pressure is 2.50*10^4 Pa, the diameter is 8.0 cm. At another point .5 Meters higher, the pressure is equal to 1.50*10^4 Pa and the diameter is 4.0cm. Find the speed of flow at the lower...

Homework Statement Water flowing out of a 15.0mm -diameter faucet fills a 1.50 L bottle in 5.00s. At what distance below the faucet has the water stream narrowed to 10 mm in diameter? Homework Equations Bernoulli's equation: P_1+pgh+1/2pv^2=constant Q(volume flow rate)=vA Continuity...

Homework Statement The water tower in the drawing is drained by a pipe that extends to the ground. The flow is nonviscous. (b) What is the absolute pressure at point 1 when the valve is opened and the water is flowing? Assume that the water speed at point 2 is negligible...

[Two circular holes, one larger than the other, are cut in the side of a large water tank whose top is open to the atmosphere. Hole 1 is the larger hole, and hole 2 is the smaller hole. The center of one of these holes is located 6.61 times as far beneath the surface of the water as the other...

Homework Statement A water tank of height h has a small hole at height y. The water is replenished to keep h from changing. The water squirting from the hole has range x. The range approaches zero as y goes to 0 because the water squirts right onto the table. The range also approaches zero as...

I'm writing an engineering white paper on a soap-dispensing shower head. The product will have a canister of soap on top of a basic generic shower head separated by a mesh so that due to the viscosity of the soap, the flow of the water rushing by will be the main determining factor on how much...

Water flows at 0.67 m/s through a 3.0 cm diameter hose that terminates in a 0.35 cm diameter nozzle. Assume laminar non-viscous steady-state flow. (a) At what speed does the water pass through the nozzle? 49.22 m/s (b) If the pump at one end of the hose and the nozzle at the other end are...

Homework Statement Q. A large water tank, open at the top, is situated at the top of a hill. A pipe leads downhill from the bottom of the tank. The pipe has a diameter 5.0 cm where it is attached to the tank at point A, but gradually narrows to a diameter of 3.0 cm at a point B which is...

A firehose must be able to shoot water to the top of a building 35 m tall when aimed straight up. Water enters the hose at a steady rate of 0.500 m3 / s and shoots out of a round nozzle. (a) What is the maximum diameter this nozzle can have? (b) If the diameter of the hose is 10 cm, what is...

if i keep a funnel shaped long tube on the roof of a moving vehicle, will the air going in follow Bernoulli's equation?

I have a simple pipe (with water) that reduces in diameter. I've been trying to calculate the pressure after the reduction using the first version of the Bernouli equation shown here; http://en.wikipedia.org/wiki/Bernoulli's_principle Now to calculate the velocity I've replaced the v with...

Homework Statement A large storage tank (diameter 10m) is filled 10m deep with water (density= 1000 kg/m^3, viscosity= 1.0x10^-3 Pa*s). The outlet at the bottom consists of 2 pipes, as shown. The large pipe has a diameter d2= 0.1m, and the smaller have a diameter d3= 0.05m and length of 20m. A...

Homework Statement A continuous stream of water is flowing out of a faucet and falling into a sink below. Explain why this stream of water is narrower at the bottom (near the sink) than at the top (near the faucet). Hint: Think about the change in velocity and the change in pressure as the...

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...

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...

1. The time required to fill a bucket with water from a certain garden hose is 30.0 s. If you cover part of the hose's nozzle with your thumb so that the speed of the water leaving the nozzle doubles, how long does it take to fill the bucket? 2. Homework Equations : None required. I hope...

[SOLVED] Needle and pressure (Bernoulli's equation?) Homework Statement A hypodermic syringe contains medicine having the density of water. Barrel has cross sectional area A= 2.50x10^-5 m^2 and the needle has a cross sectional area a= 1.00x10^-8 m^2. IN the absence of a force on the plunger...

[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...

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...

Homework Statement In an aortic aneurysm, a bulge forms where the walls of the aorta are weakened. If blood flowing through the aorta (radius 1.1 cm) enters an aneurysm with a radius of 3.1 cm, how much on average is the blood pressure higher inside the aneurysm than the pressure in the...

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...

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...

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?

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...

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...

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.

During high winds, the atmospheric pressure inside a house may blow off the roof because of the reduced pressure outside. Calculate the force on a square roof of side 22.0 m if the wind speed over the roof is 29.0 i used bernoulli's equation and got an answer of... 246356N i used 1.21 as...

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...

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...

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...

Here's my problem:- A horizontal tube has a T-junction with a vertical tube coming downwards into a container of liquid, at height h below the T-junction. Air is forced into the horizontal tube which causes a pressure difference which sucks the liquid up the vertical tube. What is the...

Can anyone explain to me how Bernoulli's equation arises from conservation of energy?

Who first derived Bernoulli's equation?