Bernoulli's Definition and 306 Threads

Homework Statement In sand casting, the sprue should be tapered. If a sprue with a constant cross-sectional area is used, aspiration may take place whereby air will be sucked in or entrapped in the molten metal, causing defects in the resulting casting. To avoid aspiration, show that the...

Water flows through a 0.30m radius pipe at the rate of 0.20m^2/s. The pressure in the pipe is atmospheric. The pipe slants downhill and feeds into a second pipe with a radius of 0.15m, positioned 0.60m lower. What is the gauge pressure in the second pipe? So, what I've figured from the...

Homework Statement If wind blows at 24 m/s over your house, what is the net force on the roof if its area is 300 m squared? Homework Equations Bernoulli's equation? P1+1/2pv1sqrd+pgy1=P2+1/2pv2sqrd+pgy2 The Attempt at a Solution Really didn't know where to go with this. I...

In a pipe of varying diameter in which an ideal fluid is flowing, there's an increment in the kinetic energy of each particle as it reaches a region of lower cross section from a higher cross section in the pipe. Following the law of conservation of energy, there should be an energy transfer in...

Before I describe the problem, I would like to apologize for my lack of comprehension of this subject. It is the first semester of Physics, but the end, and has become quite complicated. Homework Statement There is a 2.0 L soda bottle used, with a hole a certain height (hhole) from the...

Homework Statement y''+(y')2 = y, y(0)=1, y'(0)=1/√2 Homework Equations Bernoulli's method. The Attempt at a Solution Using the substitution p=y' I get this: p'p + p2 = y, so I can use z=p2 to solve this. However, I'm getting something wrong. I think it could be because I'm...

Homework Statement The pressure in a section of horizontal pipe with a diameter of 2.0 cm is 140 kPa. Water flows through the pipe at 2.80 L/s. Assume laminar nonviscous flow. If the pressure at a certain point is to be reduced to 102 kPa by constricting a section of the pipe, what should...

A fountain shoots a vertical jet of water at a rate of 0.33 L/s to a height of 1.6m. What is the initial speed of the jet and what is the radius of the hole out of which the jet passes? What pressure must the pump of the fountain supply? (Assuming that it sits just below the emerging jet). At...

Homework Statement A cylindrical bucket of liquid (density ρ) is rotated about its symmetry axis, which is vertical. If the angular velocity is ω, show that the pressure at a distance r from the rotation axis is P = P_0 + \frac{1}{2} \rho \omega^2 r^2 where P0 is the pressure at r = 0...

Homework Statement Water flows at 0.61 m/s through a 3.0 cm diameter hose that terminates in a 0.30 cm diameter nozzle. Assume laminar non-viscous steady-state flow. (a) At what speed does the water pass through the nozzle? (Correctly solved to be 61 m/s). (b) If the pump at one end of...

bernoulli's principle- fluids...? Homework Statement http://img30.imageshack.us/img30/4119/45086777.jpg Homework Equations A1V1=A2V2 P2+1/2pv1^2 = p1+1/2pv2^2 P+1/2mv^2 + pgy = constant The Attempt at a Solution V2=A1*V1/A2 1/2*p*A1^2*V1^2*p*g*h/A2^2=1/2pv1^2 2*g*h*A1^2V1^2/ A2^2=V1^2...

Homework Statement This isn't a homework question, but more like a theory question that my teacher and I are having trouble figuring out. We're trying to figure out why this ball, more or less, stays still in a high speed stream of air: http://laserpablo.com/videos/videofiles/Bernoulli.htm...

Homework Statement An incompressible fluid is flowing through a vertical pipe with a constriction. The wide section is 2.00 cm in diameter and is at the top of the pipe. The pressure of the fluid in the wide section at the top is 200 kPa. The velocity of the fluid in the wide section is 4.00...

Homework Statement What is the lift (in Newtons) due to Bernoulli's principle on a wing of area...m^2 if the air passes over the top and bottom surfaces at speeds of ...m/sand ...m/s, respectively? I've given the values but I just want to know if I'm doing the problem right conceptually...

water flows through a horizontal pipe at a velocity of 50 ft per sec. Owing to the pipe gradually expanding to a larger size, the velocity decreases to 35 ft per sec. what is the difference between the pressures at two points, one in each size of pipe?

Homework Statement air is flowing horizontally at a speed of 100 mph through a duct 4 square feet in cross section. the duct gradually narrows down to a throat section. if a U-tube shows a difference in pressure between the throat and main sections of 7 inch of water, what is the cross...

A fire hose must be able to shoot water to the top of a building 35.0 m tall when aimed straight up. Water enters this hose at a steady rate of 0.500 m3/s and shoots out of a round nozzle. i) What is the maximum diameter this nozzle can have? ii) If the only nozzle available has a diameter...

Homework Statement Using the data of Example 10-11, calculate the average speed of blood flow in the major arteries of the body, which have a total cross-sectional area of about 2.0cm2 Homework Equations well... Actually, I don't know how to solve this problem. The Example 10-11...

Homework Statement Homework Equations The Attempt at a Solution Actually, I don't have any questions about home works. However, I'm looking for some word problems applying the Bernoulli's Differential Equation. It is dx/dy + P(x) = Q(x)yn. I cannot find any problems using that. I need at...

Homework Statement The figure below shows a stream of water in a steady flow from a kitchen faucet. At the faucet the diameter of the stream is 1.20 cm. The stream fills a 125 cm3 container in 18.2 s. Find the diameter of the stream 13.0 cm below the opening of the faucet. (The answer should...

My mind is struggling trying to understand how a decrease in pressure can increase the velocity and vise versa for a fluid that is flowing through a tube of some kind. I've always thought that if you increase the amount of pressure then the velocity should also increase. It appears that they...

**semantics making Bernoulli's Eq KILLER! see if you can make sense Homework Statement a pipe that carries a fluid ρ = 873 kg/m3 lies along the slope of a smooth hill which is 140 m high. The speed of the liquid at the bottom of the hill is 6.5 m/s. The diameter of the crude oil pipe line at...

Next question: A garden hose with internal diameter of 13.5 mm lies flat on a sidewalk while water is flowing in it at a speed of 6 m/s. A person happens to step on it at the very edge of the opening of the hose and decreases its internal diameter by a factor of 9 So D (1) = 0.0135m r (1) =...

Hey, Here's something that confuses me with the Hagen–Poiseuille equation and the Bernoulli's equation. From the Hagen–Poiseuille equation and in general, fluid will tend to flow from high to low pressure. From Bernoulli's equation pressure is a function of cross-sectional area and...

Homework Statement Water flows through a venturi meter, with an inlet diameter of 25cm and a throat diameter of 15cm. The pressure difference is measured using a manometer, which displaces the mercury by 12mm on the throat side. Homework Equations Bernoulli's Mass continuity P=rho.g.h...

So we are learning about fluid dynamics in my physics class right now, and while I "know" the concepts, I don't understand them. Bernoulli's law says that when a fluid flows from a large area to a smaller area, the pressure decreases and the speed of the fluid increases. I understand how the...

Homework Statement An open can is completely filled with water, to a depth of 20.6 cm. A hole is punched in the can at a height of 1.7 cm from the bottom of the can. Bernoulli's equation can be used to derive the following formula for the speed of the water flowing from the hole. In...

Hi, Hopefully a very simple question for someone that knows; We know from Bernoulli's principle that an area of high velocity creates an area of low pressure and vice versa. My question is how is this created? Thanks

Does Bernoulli's Principle affect a non-flowing fluid in a moving container? As in, if I am in an air-sealed airplane at rest, and then the plane accelerates on the ground (but does not fly), does the gas pressure inside the plane change because the fluid (air inside the cabin) has a velocity...

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...

Homework Statement A can has two vertically aligned holes in it. The height of the fluid is h, and the heights of the two holes are h1 and h2. a) Show that the two streams of water will hit the ground at the same spot when h = h1 +h2. b) If you had such a can, how would you keep h constant...

It is 2 days before final exam and I don't even know how to solve this. I am so screwed.Homework Statement http://img201.imageshack.us/img201/9822/picture1ap8.png (The answers written above are supposed to be the correct answers.)Homework Equations P + (1/2)pv2 + pgh = constantThe Attempt at a...

Homework Statement Examine the schematic of the tower. Water flows in at the top to balance the water flowing out through the holes, so the height of the water in the tower stays fixed. Take state 1 at the top of the water in the tower and state 2 in the water just as it flows out of the...

[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...

Meaning of bernoulli's equation??Pleaseee When we evaluate the bernoulli's equation-p/(density*gravity)+v^2/(2*gravity)+z=constant. we get a value whose unit is metre.how am i supposed to actually interpret this result?

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

hi all, am a confused-being after trying to solve this really simple question.. somewhere somehow my concepts are just not right ): Consider an airplane flying with a velocity of 60m/s at a standard altitude of 3km. At a point on the wing, the airflow velocity is 70m/s. Calculate the...

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...

Hi everyone, I read on a website that the Bernoulli's expression can be applied to airplane wings by using the equation: Difference in pressure above and below wing = 1/2 x air density x [(airflow velocity below wing)^2 - (airflow velocity above wing)^2] I tried using it but the...

Hi everyone, I read on a website that the Bernoulli's expression can be applied to airplane wings by using the equation: Difference in pressure above and below wing = 1/2 x air density x [(airflow velocity below wing)^2 - (airflow velocity above wing)^2] I tried using it but the...