**Problem Statement:**A liquid is flowing through a horizontal pipe whose radius is 0.0208 m. The pipe bends straight upward through a height of 3.70 m and joins another horizontal pipe whose radius is 0.0544 m. What volume flow rate will keep the pressures in the two horizontal pipes the same?**Diagram Explanation:**The diagram consists of a bent pipe system. - **Horizontal Section 1:** - Radius: \( r_1 = 0.0208 \) m - Velocity of the liquid: \( v_1 \)- **Vertical Section:** - Elevation height: \( h = 3.70 \) m- **Horizontal Section 2:** - Radius: \( r_2 = 0.0544 \) m - Velocity of the liquid: \( v_2 \)- The liquid flows from left to right through the system, and the diagram indicates direction with arrows on each section of the pipe. **Question:**Determine the volume flow rate needed to ensure that the pressure in the two horizontal sections of the pipe remains the same.**Input Fields:**- **Number:** [Input Field]- **Units:** [Dropdown Menu] Please select the appropriate units for expressing the flow rate.

Answered: Image /qna-images/answer/f808c9fe-acad-4e27-8ea2-bbd2fc90e3a5.jpgVolume flow rate of the liquid is 0.0117m3/s

A liquid is flowing through a horizontal pipe whose radius is 0.0208 m. The pipe bends straight upward through a height of 3.70 m and joins another horizontal pipe whose radius is 0.0544 m. What volume flow rate will keep the pressures in the two horizontal pipes the same? Number Units V1 202

A liquid is flowing through a horizontal pipe whose radius is 0.0208 m. The pipe bends straight upward through a height of 3.70 m and joins another horizontal pipe whose radius is 0.0544 m. What volume flow rate will keep the pressures in the two horizontal pipes the same? Number Units V1 202

Physics for Scientists and Engineers

10th Edition

ISBN:9781337553278

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter14: Fluid Mechanics

Section: Chapter Questions

Problem 8P: The human brain and spinal cord are immersed in the cerebrospinal fluid. The fluid is normally...

See similar textbooks

Related questions

Q: Problem 7: The water of a 14' x 48' metal frame pool can drain from the pool through an opening at…

A: We are given the volume of water inside the pool. We convert this volume in m3. We are also given…

Q: ater travels through a pipe at 8.22 m/s. The pipe contracts from a crossectional area of 2.5 m2 to…

Q: A 6.1 cmcm diameter horizontal pipe gradually narrows to 4.4 cmcm . When water flows through this…

A: The initial diameter of the pipe is, d1=6.1 cm The final diameter of the pipe is, d2=4.4 cm The…

Q: A horizontal pipe carries a smoothly flowing liquid of density of 1150 kg/m³. At Locations 1 and 2…

Q: A 5.7 cmcm diameter horizontal pipe gradually narrows to 2.9 cmcm . When water flows through this…

Q: Water is moving with a speed of 5.6 m/s through a pipe with a cross-sectional area of 4.7 cm2. The…

A: given: v1 = 5.6 m/sa1 = 4.7 cm2=4.7*10-4 m2∆h=9.8 ma2 = 9.9 cm2=9.9 *10-4 m2P1 = 1.3*105 Pa

Q: 9. A liquid is flowing through a horizontal pipe whose radius is 2.14 x 10-2 m. The pipe bends…

Q: A water pipe having a 2.54 cm inside diameter carries water into the basement of a house at a speed…

A: From equation of continuity, we have: A1v1=A2v2πr12v1=πr22v2v2=r12v1r22 Here, r1 and r2 are the…

Q: Water flows through a pipe as shown in the figure. The pressure at points 1 and 2 respectively is…

Q: Water is flowing into a factory in a horizontal pipe with a radius of 0.0163 m at ground level. This…

Q: A horizontal pipe carries a smoothly flowing liquid with density 1.35 × 103 kg/m3. At locations 1…

A: Using Continuity equation,

Q: A liquid is flowing through a horizontal pipe whose radius is 0.0224 m. The pipe bends straight…

A: Given: Horizontal pipe radii, r1=0.0224 m Pipe bent height, h=8.8 m Another horizontal pipe radii,…

Q: The drawing shows an intravenous feeding. With the distance shown, nutrient solution (p = 1050 kg/m)…

A: The pressure due to the fluid is given by P = h d g where, h is the height of the fluid, d is the…

Q: Water travels through a pipe at 11.0 m/s. The pipe expands from a crossectional area of 1.5 m2 to an…

A: To determine,What is the speed(v2) of the water in the second part of the pipe in ms-1and How much…

Q: Water is stored in a pressurised container at a height ??= 11.2 m. It then moves through a…

Q: ter travels through a pipe at 10.5 m/s. The pipe expands from a crossectional area of 2.4 m2 to an…

Q: A filling station uses a Venturi tube to measure the flow rate of gasoline. The density of the…

A: density of gasoline = 7.2 x 102 kg/m3 inlet radius = r1= 2.5 cm outlet radius = r2= 1.25 cm

Q: A horizontal pipe carries a smoothly flowing liquid of density of 1150 kg/m. At Locations 1 and 2…

Q: Water at a pressure of 3.85 x 105 N/m2 at street level flows into an office building at a speed of…

Q: 6. A liquid is flowing through a horizontal pipe whose radius is 2.08 × 10-2 m. The pipe bends…

Q: A 5.8 cm diameter horizontal pipe gradually narrows to 2.9 cm . When water flows through this pipe…

Q: Chapter 14, Problem 059 Water is moving with a speed of 6.4 m/s through a pipe with a…

A: Given information:

Q: barometer

Q: A horizontal pipe carries a smoothly flowing liquid of density of 1330 kg/m3. At Locations 1 and 2…

A: The data given is as follows: 1. The density of the fluid, ρl=1330 kg/m3 2. The diameter of the pipe…

Q: Is the flow speed at Location 2 higher or lower than the flow speed at Location 1? higher di cannot…

A: Given:- d1= 5.93 cm = 0.0593 m d2= 2.27 cm = 0.0227 m A1= area of cross section of location 1=…

Q: Water flows with a constant speed through pipe of constant cross-sectional area in the ground floor…

A: Part a: The pressure difference between top (P1) and bottom (P2) is given in terms of density of…

Q: Water with a density of 1 x 103 kg/m³ flows through a horizontal pipe. The pipe cross-section tapers…

A: The density of the water is ρ=1×103 kg/m3. The cross section area of the pipe tapers from A1=0.008…

Q: A horizontal pipe carries a smoothly flowing liquid of density of 1310 kg/m3. At Locations 1 and 2…

A: density of liquid = 1310 kgm3d1 = 5.13 cm d2 = 2.67 cm v1 = 1.97 m/s

Q: The drawing shows an intravenous feeding. With the distance shown, nutrient solution (p = 1020…

A: We are given that solution can just barely enters the blood in the vain. That means at both ends the…

Q: Please answer the following question(s): 1. A helicopter blade spins at exactly 130 revolutions per…

Q: e diameters are ?1=6.97 cm and ?2=2.65 cm, respectively. Is the flow speed at Location 2 higher or…

A: The density of the liquid ρ = 1290 kg/m3 At Locations 1 and 2 along the pipe, the diameters are…

Q: water flows through a section of pipe at a speed of 9.72 m/s. the water that flows into a 6.47 m…

Q: A horizontal pipe carries a smoothly flowing liquid of density of 1290 kg/m³. At Locations 1 and 2…

Concept explainers

Variation of pressure

From the equation of pressure, pressure is directly proportional to the applied force.

Question

100%

**Problem Statement:**
A liquid is flowing through a horizontal pipe whose radius is 0.0208 m. The pipe bends straight upward through a height of 3.70 m and joins another horizontal pipe whose radius is 0.0544 m. What volume flow rate will keep the pressures in the two horizontal pipes the same?

**Diagram Explanation:**
The diagram consists of a bent pipe system.

- **Horizontal Section 1:**
- Radius: \( r_1 = 0.0208 \) m
- Velocity of the liquid: \( v_1 \)

- **Vertical Section:**
- Elevation height: \( h = 3.70 \) m

- **Horizontal Section 2:**
- Radius: \( r_2 = 0.0544 \) m
- Velocity of the liquid: \( v_2 \)

- The liquid flows from left to right through the system, and the diagram indicates direction with arrows on each section of the pipe.

**Question:**
Determine the volume flow rate needed to ensure that the pressure in the two horizontal sections of the pipe remains the same.

**Input Fields:**

- **Number:** [Input Field]
- **Units:** [Dropdown Menu]

Please select the appropriate units for expressing the flow rate.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: Determine the given variables

VIEW

Step 2: Calculate speed of the liquid in upper horizontal pipe

VIEW

Step 3: Calculate volume flow rate of the liquid

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

Gasoline is piped underground from refineries to major users. The flow rate is 3.00102 m3/s (about 500 gal/ min), the viscosity of gasoline is 1.00103 (N/m2) s, and its density is 680 kg/m3. (a) What minimum diameter must the pipe have if the Reynolds number is to be less than 2000? (b) What pressure difference must be maintained along each kilometer of the pipe to maintain this flow rate?
The human brain and spinal cord are immersed in the cerebrospinal fluid. The fluid is normally continuous between the cranial and spinal cavities and exerts a pressure of 100 to 200 mm of H2O above the prevailing atmospheric pressure. In medical work, pressures are often measured in units of mm of H2O because body fluids, including the cerebrospinal fluid, typically have nearly the same density as water. The pressure of the cerebrospinal fluid can be measured by means of a spinal tap. A hollow tube is inserted into the spinal column, and the height lo which the fluid rises is observed, as shown in Figure P9.83. If the fluid ruses to a height of 160. mm, we write its gauge pressure as 160. mm H2O. (a) Express this pressure in pascals, in atmospheres, and in millimeters of mercury. (b) Sometimes it is necessary to determine whether an accident victim has suffered a crushed vertebra that is blocking the flow of cerebrospinal fluid in the spinal column. In other cases, a physician may suspect that a tumor or other growth is blocking the spinal column and inhibiting the flow of cerebrospinal fluid. Such conditions ran be investigated by means of the Queckensted test. In this procedure, the veins in the patients neck are compressed lo make the blood pressure rise in the brain. The increase in pressure in the blood vessels is transmitted to the cerebrospinal fluid. What should be the normal effect on the height of the fluid in the spinal tap? (c) Suppose compressing the veins had no effect on the level of the fluid. What might account for this phenomenon?
The pressure drop along a length of artery is 100 Pa, the radius is 10 mm, and the flow is laminar. The average speed of the blood is 15 mm/s. (a) What is the net force on the blood in this section of artery? (b) What is the power expended maintaining the flow?
Review. Old Faithful Geyser in Yellowstone National Park erupts at approximately one-hour intervals, and the height of the water column reaches 40.0 m (Fig. P15.40). (a) Model the rising stream as a series of separate droplets. Analyze the free-fall motion of one of the droplets to determine the speed at which the water leaves the ground. (b) What If? Model the rising stream as an ideal fluid in streamline flow. Use Bernoullis equation to determine the speed of the water as it leaves ground level. (c) How does the answer from part (a) compare with the answer from part (b)? (d) What is the pressure (above atmospheric) in the heated underground chamber if its depth is 175 m? Assume the chamber is large compared with the geysers vent. Figure P15.40
(a) The pressure inside an alveolus with a 2.00104 -m radius is 1.40103 Pa, due to its fluid-lined walls. Assuming the alveolus acts like a spherical bubble, what is the surface tension of the fluid? (b) Identify the likely fluid. (You may need to extrapolate between values in Table 11.3.)
Pressure in the spinal fluid is measured as shown in Figure 11.43. If the pressure in the spinal fluid is 10.0 mm Hg: (a) What is the reading of the water manometer in cm water? (b) What is the reading if the person sits up, placing the top of the fluid 60 cm above the tap? The fluid density is 1.05 g/mL. Figure 11.43 A water manometer used to measure pressure in the spinal fluid. The height of the fluid in the manometer is measured relative to the spinal column, and the manometer is open to the atmosphere. The measured pressure will be considerably greater if the person sits up.
Liquid toxic waste with a density of 1752 kg/m3 is flowing through a section of pipe with a radius of 0.312 m at a velocity of 1.64 m/s. a. What is the velocity of the waste after it goes through a constriction and enters a second section of pipe with a radius of 0.222 m? b. If the waste is under a pressure of 850,000 Pa in the first section of pipe, what is the pressure in the second (constricted) section of pipe?
(a) What is the pressure drop due to the Bernoulli effect as water goes into a 3.00-cm-diameter nozzle from a 9.00-cm-diameter fire hose while carrying a flow of 40.0 L/S? (b) To what maximum height above the nozzle can this water rise? (The actual height will be significantly smaller due to air resistance.)
You are pumping up a bicycle tire with a hand pump, the piston of which has a 2.00-cm radius. (a) What force in newtons must you exert to create a pressure of 6.90105 Pa (b) What is unreasonable about this (a) result? (c) Which premises are unreasonable or inconsistent?
(a) Verify that work input equals work output for a hydraulic system assuming no losses to friction. Do this by showing that the distance the output force moves is reduced by the same factor that the output force is increased. Assume the volume of the fluid is constant. (b) What effect would friction within the fluid and between components in the system have on the output force? How would this depend on whether or not the fluid is moving?
Bird bones have air pockets in them to reduce their weight—this also gives them an average density significantly less than that of the bones of other animals. Suppose an ornithologist weighs a bird bone in air and in water and finds its mass is 45.0 g and its apparent mass when submerged is 3.60 g (the bone is watertight). (a) What mass of water is displaced? (b) What is the volume of the bone? (c) What is its average density?
An airplane has a mass M, and the two wings have a total area A. During level flight, the pressure on the lower wing surface is P1. Determine the pressure P2 on the upper wing surface.