A hypodermic needle is 3.22 cm in length and 0.21 mm in diameter. What pressure difference between the input and output of the needle is required so that the flow rate of water through it will be 1 g/s? (Use 1.0 x 10- Pa s as the viscosity of water.)

A hypodermic needle is 3.22 cm in length and 0.21 mm in diameter. What pressure difference between the input and output of the needle is required so that the flow rate of water through it will be 1 g/s? (Use 1.0 x 10- Pa s as the viscosity of water.)

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter15: Fluid Mechanics

Section: Chapter Questions

Problem 23P: A table-tennis ball has a diameter of 3.80 cm and average density of 0.084 0 g/cm3. What force is...

See similar textbooks

Related questions

Q: Water flows at a rate of 0.011 m3/s in a horizontal pipe whose diameter increases from 6 to 11 cm by…

A: It is given that,

Q: The aorta in humans has a diameter of about 2.0 cm, and at certain times the blood speed through it…

Q: A hypodermic needle is 3.18 cm in length and 0.22 mm in diameter. What pressure difference between…

A: Flow rate can be expressed as, Q=πR4P2-P18ηL

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

Q: A hypodermic needle is 3.0 cm in length and 0.30 mm in diameter. What pressure difference between…

A: Given: length of needle,l = 3 cm = 0.03 m diameter, d = 0.3 mm radius, r = 0.15 mm = 0.15 x 10-3 m…

Q: What fraction of the volume of an iceberg (density 917kg/m3) would be visible if the iceberg floats…

A: Given : Density of iceberg (ρiceberg) = 917 kg/m3 Density of saltwater (ρsaltwater) = 1024 kg/m3…

Q: At what depth of the ocean would the liquid pressure be equal to 3.0 atm? The density of seawater is…

A: Given, Pressure at the depth of the ocean, P = 3.0 atm density of sea water, ρ = 1025 kgm3

Q: Engineers have developed a bathyscaph that can reach ocean depths of 6.05 mi. If the density of…

Q: For compressible fluid flow in a pipe, having a decrease in specific gravity, what will be the…

A: Given, A compressible fluid means the density of fluid will change During flowing into the pipe,…

Q: The pulmonary artery, which connects the heart to the lungs, has an inner radius of 2.3 mm and is…

A: Given: The inner radius of the pulmonary artery: R = 2.3 mm (2.3 x 10-3 m); The length of the…

Q: Blood is placed in a bottle 1.40 m above a 3.8-cm-long needle, of inside diameter 0.40 mm, from…

A: The pressure inside the bottle is

Q: The Venturi tube as shown in the figure may be used as a fluid flowmeter. Suppose the device is used…

A: Density of gasoline, ρ=700 kg/m3∆P=P1-P2=51.2 kPaInlet radius,r1=2.4 cmOutlet radius,r2=1.2 cm

Q: The venturi tube as shown in the figure may be used as a fluid flowmeter. Suppose the device is used…

A: Solution: given that liquid density p=700 kg/m3 pressure difference P1-P2=51.2 kPa inlet tube radius…

Q: A pirate's treasure chest lies 67.4 m below the surface of Lake Ontario. What is the absolute…

Q: Early barometers contained wine instead of mercury. On a day when the height h of the liquid in the…

A: The height of mercury h=750 mm=0.750 m Density of mercury ρm=13600 kg/m3 The pressure corresponds to…

Q: What is the pressure 90 m underwater? Assume the water surface is at atmospheric pressure (1 atm…

A: Given Depth d = 90 m We have to find out pressure at depth d.

Q: The square prism, whose short sides are 35 cm x 35 cm and whose long side is 70 cm, is plunged in…

Q: The aorta in humans has a diameter of about 2.0 cm, and at certain times the blood speed through it…

A: Given,

Q: The Venturi tube as shown in the figure may be used as a fluid flowmeter. Suppose the device is used…

Q: In your bedroom, what is the maximum mass of an object that can be suspended from a 7.61 cm diameter…

A: diameter of suction cup (d) = 7.61 cm radius of suction cup (r) = 3.805 cmPressure (P) = 1 atm

Q: A hypodermic needle is 3.0 cm in length and 0.30 mm in diameter. What pressure difference between…

A: Given,

Q: What is the pressure at the bottom of the tank when it is filled with water as shown, in kPa…

A: Given that, ρ=1000 kg/m3g=10 m/s21 atm =1.00×105 kPa The pressure due to a liquid filled in a…

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

A: Given Density of gasoline is given as ρ=7.10×102 kg/m3 Radius of the inlet and outlet are…

Q: The dimensions of a wooden raft (density = 150 kg/m3) are 3.0m x 3.0m x 1.0m. What maximum load can…

Q: A vent tube can be used as a fluid flow meter. If the pressure difference P1-P2= 21.0kpa, find the…

A: Given data: The pressure difference is P1-P2=21 kPa. The inlet tube diameter is d1=1 cm. The outlet…

Q: A hypodermic needle is 2.84 cm in length and 0.20 mm in diameter. What pressure difference between…

A: The expression for the required pressure is,

Q: What radius needle should be used to inject a volume of 500 cm3 of a solution into a patient in 30…

Q: The pressure in a horizontal pipe is 2.02x105 Pa, and the speed of the water flowing in it is 0.40…

Q: Two pistons of a hydraulic lift have diameters of 60 cm and 5 cm. What is the maximum mass the…

Q: The figure shows a wooden block attached with a rope to the bottom of a water-filled vessel. Knowing…

A: VBlock= 8 x 10-6 m3 dWood= 706 kg/m3 dWater= 103 kg/m3

Q: An astronaut is working outside the International Space Station where the atmospheric pressure is…

Q: If a Boeing 737 has a mass of 20,000 kg and a total wing area of 100 m2, what difference in pressure…

A: a) The pressure difference of Boeing 737In airplane, the weight of the airplane is balanced by lift…

Q: A tall, open container is full of glycerine. At what depth ℎ below the surface of the glycerine is…

A: Given that:Gauge pressure, Pgauge=2390 PaDensity of glycerine, ρ=1.26×103 kg/m3

Q: What is the pressure on a fish 16.0 m under the ocean surface? (Density of ocean water = 1025…

A: We know, P=Pair+ρgd

Q: The flow rate of blood through a 2.00×10–6-m -radius capillary is 3.80×109 cm3 /s. What is the…

A: Speed of blood flow is,

Q: An aquarium was filled with salt water at a depth of 0.5 m. What is the pressure due to the liquid?…

Q: What radius needle should be used to inject a volume of 500 cm3 of a solution into a patient in 30.0…

Q: An intravenous (IV) system is supplying saline solution to a patient at the rate of 0.120 ml/sec…

Q: How tall must a water-filled manometer be to measure blood pressures as high as 300 mm Hg?

A: We know the pressure (P) is

Q: A hypodermic needle is 3.00 cm in length and 0.300 mm in diameter. What pressure difference between…

A: Write the formula for the radius of the needle.

Q: The gauge pressure in a balloon in measured by means of an open-tube manometer that uses water…

Q: Calculate the pressure drop along 0.5 m of 0.1 m diameter horizontal steel pipe through which a…

A: Mass flow rate, Q = 56 m3/min = 0.933 m3/s Pipe length, L =0.5 m Viscosity, μ=1156 cP =1.156 N-S/m2…

Q: What is the radius of the pipe on the second floor

Q: Calculate the absolute pressure at the bottom of a fresh-water lake at a depth of 31.2 m. Assume the…

Q: A hypodermic needle is 2.76 cm in length and 0.39 mm in diameter. What pressure difference between…

A: From Poiseuille’s equation

Q: What is the flow rate of water (in m3/s) hose that can fill 1.75 L bottle in 5 seconds? Group of…

A: Given, Volume of water = 1.75 L = 1.75×10-3 m3 Time = 5s Flow rate = Volume filledTime taken

Q: A Glicerina SG 1.26 Agua SG = 1.0 Accite SG = 0.88 60 cm 10 cm 15 cm 20 cm Mercurio SG = 13.5

A: Here, A figure is given , showing a dual fluid manometer. We have to find the pressure difference…

Question

A hypodermic needle is 3.22 cm in length and 0.21 mm in diameter. What pressure difference between the input and output of the needle is required so that the flow
rate of water through it will be 1 g/s? (Use 1.0 x 10- Pa s as the viscosity of water.)

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

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

The gravitational force exerted on a solid object is 5.00 N. When the object is suspended from a spring scale and submerged in water, the scale reads 3.50 N (Fig. P15.24). Find the density of the object. Figure P15.24 Problems 24 and 25.
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 8.00 104 Pa and the pressure in the smaller pipe is 6.00 104 Pa, at what rate does water flow through the pipes?
How tall must a water-filled manometer be to measure blood pressures as high as 300 mm Hg?
(a) Verify that a 19.0% decrease in laminar flow through a tube is caused by a 5.00% decrease in radius, assuming that all other factors remain constant. (b) What increase in flow is obtained from a 5.00% increase in radius, again assuming all other factors remain constant?
An oil gusher shoots crude oil 25.0 m into the air through a pipe with a 0.100-m diameter. Neglecting air resistance but not the resistance of the pipe, and assuming laminar flow, calculate the gauge pressure at the entrance of the 50.0-m-long vertical pipe. Take the density of the oil to be 900 kg/m3 and its viscosity to be 1.00 (N/m2) s (or 1.00 Pa s). Note that you must take into account the pressure due to the 50.0-m column of oil in the pipe.
Two thin-walled drinking glasses having equal base areas but different shapes, with very different cross-sectional areas above the base, are filled to the same level with water. According to the expression P = P0 + gh, the pressure is the same at the bottom of both glasses. In view of this equality, why does one weigh more than the other?
How tall must be to measure blood pressure as high as 300 mm Hg?
A beaker of mass mb containing oil of mass mo and density o rests on a scale. A block of iron of mass mFe suspended from a spring scale is completely submerged in the oil as shown in Figure P15.63. Determine the equilibrium readings of both scales. Figure P15.63 Problems 63 and 64.
Water flows through a pipe that gradually descends from a height of 6.78 m to the ground. Near the top, the cross-sectional area is 0.400 m2, and the pipe gradually widens so that its area near the ground is 0.800 m2. Water leaves the pipe at a speed of 16.8 m/s. What is the difference in the water pressure between the top and bottom of the pipe?
Figure P15.52 shows a Venturi meter, which may be used to measure the speed of a fluid. It consists of a Venturi tube through which the fluid moves and a manometer used to measure the pressure difference between regions 1 and 2. The fluid of density tube moves from left to right in the Venturi tube. Its speed in region 1 is v1, and its speed in region 2 is v2. The necks cross-sectional area is A2, and the cross-sectional area of the rest of the tube is A1. The manometer contains a fluid of density mano. a. Do you expect the fluid to be higher on the left side or the right side of the manometer? b. The speed v2 of the fluid in the neck comes from measuring the difference between the heights (yR yL) of the fluid on the two sides of manometer. Derive an expression for v2 in terms of (yR yL), A1, A2, tube, and mano. FIGURE P15.52
A 1.00-kg beaker containing 2.00 kg of oil (density = 916.0 kg/m3) rests on a scale. A 2.00-kg block of iron suspended from a spring scale is completely submerged in the oil as shown in Figure P15.63. Determine the equilibrium readings of both scales. Figure P15.63 Problems 63 and 64.
Verify that the flow of oil is laminar (barely) for an oil gusher that shoots crude oil 25.0 m into the air through a pipe with a 0.100-m diameter. The vertical pipe is 50 m long. Take the density of the oil to be 900 kg/m3 and its viscosity to be 1.00(N/m2) s (or 1.00Pa s).