Blood flows through a pipe, passing from the wide section with cross-sectional area A1, as shown below, into the narrow section, with cross-sectional area A2. If the speed of the water in the wide section, V1, is 2.09 m/s, and the pressure in the narrow part, P2, is 4.10 X 104 Pascals, find (a) the speed of the blood in the narrow section v2; (b) the pressure of the blood in the wide section, P1 (Density of blood = p = 1020 kg/m³ ) 2 A2= 0.237 m P, = 4.1 X 10° Pascalse 4.1 X 10* Pascals- 5.00 m V1 = 2.09 m/s P1= ? A, = 0.415 m2 %3D Young's modulus F AL =Y A L. Density: M (kg /m³) p=. V F P = A P = P, + pgh Pressure: (Ра) Buoyancy Force, B = weight in air – weight in fluid Area of a circle = A = Tr² weight = mg, where g = 9.80 m/s? Pressure: F P= (Ра) A In liquid: P= P,+pgh Buoyancy Force, B = weight in air – weight in fluid Area of a circle = A = Tr? Buoyancy force on a submerged object: B Pfluid Vokiect g Fluid flow: Flow rate Q(m³/s) VA VIA1 = V2A2 Bernoulli's Principle: P1 + pghi + ½ pvi? = P2+ pgh2 + ½ p vz?

Blood flows through a pipe, passing from the wide section with cross-sectional area A1, as shown below, into the narrow section, with cross-sectional area A2. If the speed of the water in the wide section, V1, is 2.09 m/s, and the pressure in the narrow part, P2, is 4.10 X 104 Pascals, find (a) the speed of the blood in the narrow section v2; (b) the pressure of the blood in the wide section, P1 (Density of blood = p = 1020 kg/m³ ) 2 A2= 0.237 m P, = 4.1 X 10° Pascalse 4.1 X 10* Pascals- 5.00 m V1 = 2.09 m/s P1= ? A, = 0.415 m2 %3D Young's modulus F AL =Y A L. Density: M (kg /m³) p=. V F P = A P = P, + pgh Pressure: (Ра) Buoyancy Force, B = weight in air – weight in fluid Area of a circle = A = Tr² weight = mg, where g = 9.80 m/s? Pressure: F P= (Ра) A In liquid: P= P,+pgh Buoyancy Force, B = weight in air – weight in fluid Area of a circle = A = Tr? Buoyancy force on a submerged object: B Pfluid Vokiect g Fluid flow: Flow rate Q(m³/s) VA VIA1 = V2A2 Bernoulli's Principle: P1 + pghi + ½ pvi? = P2+ pgh2 + ½ p vz?

Name: Blood flows through a pipe, passing from the wide section with cross-
Uploaded: 2024-03-20T06:51:10.000Z
Channel: Bartleby
Description: Blood flows through a pipe, passing from the wide section with cross-sectional areaA1, as shown below, into the narrow section, with cross-sectional area A2. If the speedof the water in the wide section, V1, is 2.09 m/s, and the pressure in the narr

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

Water supplied to a house by a water main has a pressure of 3.00 × 105 N/m2 early on a summer day when neighborhood use is low. This pressure produces a flow of 20.0 L/min through a garden hose. Later in the day, pressure at the exit of the water main and entrance to the house drops, and a flow of only 8.00 L/min is obtained through the same hose. (a) What pressure is now being supplied to the house, assuming resistance is constant? (b) By what factor did the flow rate in the water main increase in order to cause this decrease in delivered pressure? The pressure at the entrance of the water main is 5.00 × 105 N/m2 , and the original flow rate was 200 L/min. (c) How many more users are there, assuming each would consume 20.0 L/min in the morning?
Find the pressure difference required between the ends of a 2.00 m long, 1.00 mm diameter horizontal tube for 40° C water to flow through it at an average speed of 4.0 m/s. Water at 40° has a viscosity of 0.7 x 10-3 Pa s. The pressure difference is equal to ______x105 Pa. Recall the equation for volume flow rate with viscosity: Δ?Δ?=??4Δ?8??
It is a fact that blood flows more rapidly in the aorta than in the capillaries. The cross sectional area of the aorta must be ___________ the total cross sectional area of the capillaries. less than equal to greater than Consider an incompressible liquid flowing in a pipe of constant diameter. ΔP is the pressure difference between the 2 ends of the pipe. Choose the correct statement regarding the volumetric flow. It will decrease with increased ΔP, and increase with greater pipe radius. It will increase with increased ΔP, and increase with greater length of the pipe. it will decrease with greater length of the pipe, and increase with greater pipe radius. it will decrease with increased viscosity of the liquid, and decrease with greater pipe radius.
A 1.9 m length of horizontal pipe has a diameter of 1.58 x 10-2 m. Water flows with a volume flow rate of 10.2 x 10-3 m3/s out of the right end of the pipe and into the air. Calculate the change in pressure of the pipe (in Pa)? A viscous fluid (η = 103 x 10-5 Pa.
A U-tube open at both ends is partially filled with water. Oil having a density of 750 kg/m3 is then poured into the right arm and forms a column L = 13.00 cm high (b) How high of a column of water would equate the same pressure differance as is the 13.00 cm of oil? A U-tube open at both ends is partially filled with water. Oil having a density of 750 kg/m3 is then poured into the right arm and forms a column L = 13.00 cm high. The density of air is 1.29 kg/m3.The right arm is then shielded from any air motion while air is blown across the top of the left arm until the surfaces of the two liquids are at the same height. (d) Determine the pressure difference between the water and oil columns.
At 20°C, the viscosity of water is 1.0x10-3 Pa-s and the viscosity of molasses is 51 Pa-s. Consider two tubes of the same length L, with fixed pressure difference Ap across each pipe. If water flows through Pipe 1 and molasses flows through Pipe 2, and both have the same flow rate Q, what is the ratio of the radius of Pipe 2 to Pipe 1?
A fusiform aneurysm bulges or balloons out an artery on all sides (pictured below). If this aneurysm occurs in an aorta, the internal radius may increase from r₁ = 1.1 cm in the normal, healthy section to 12= = 2.2 cm in the diseased section (while staying at the same vertical height). The speed of blood m flow is v₁ = 0.42 in the normal section and the gauge pressure P₁ is 99.98 mmHg. The density of 1 S blood is 1060 kg m³ Fusiform Aneurysm Image from: http://www.okclipart.com/Fusiform-Aneurysm-Clip-Art30koqyaskv/ (a) Calculate the speed of blood v2 in the aneurysm. Answer to two significant figures. Think: What equations dictating the flow through the valve are valid, equation of continuity, Bernoulli or Poiseuille? What simplifications should you make regarding the blood flow. m V₂ = S (b) Calculate the pressure gradient AP = P aneurysm healthy aorta from the healthy aorta into the aneurysm. Think: What equations dictating the flow through the valve are valid, equation of…
Suppose you have a 8.8 cm diameter fire hose with a 3.6 cm diameter nozzle. a) Calculate the pressure drop due to the Bernoulli effect as water enters the nozzle from the hose at the rate of 40.0 L/s. Take 1.00 × 103 kg/m3 for the density of the water. b) To what maximum height, in meters, above the nozzle can this water rise? (The actual height will be significantly smaller due to air resistance.
Oil with a density of 890 kg/m³ moves through a constricted pipe in steady, ideal flow. At the lower point shown in the figure below, the pressure is P, = 1.95 × 104 Pa, and the pipe diameter is 8.00 cm. At another point y = 0.20 m higher, the pressure is P, = 1.15 × 104 Pa and the pipe diameter is 4.00 cm. (a) Find the speed of flow (in m/s) in the lower section. m/s (b) Find the speed of flow (in m/s) in the upper section. m/s (c) Find the volume flow rate (in m³/s) through the pipe. m3/s
In an industrial cooling process, water is circulated through a system. If water is pumped with a speed of 5.20 m/s under a pressure of 5.00*10^5 Pa from the first floor through a 3.80-cm diameter pipe, what will be the pressure on the next floor 3.50 m above in a pipe with a diameter of 3.00 cm?
(a) Calculate the absolute pressure at the bottom of a fresh-water lake at a depth of 24.4 m. Assume the density of the water is 1.00 ✕ 103 kg/m3 and the air above is at a pressure of 101.3 kPa. Pa(b) What force is exerted by the water on the window of an underwater vehicle at this depth if the window is circular and has a diameter of 42.0 cm? N
A pumping station uses a Venturi tube to measure the flow rate of gasoline. The density of the gasoline is p = 7.40 x 102 kg/m3, the inlet and outlet tubes, respectively, have a radius of 2.80 cm and 1.40 cm, and the difference in input and output pressure is P, - P, = 1.20 kPa. (a) Find the speed (in m/s) of the gasoline as it leaves the hose. m/s (b) Find the fluid flow rate in cubic meters per second. m3/s