**Balloon Angioplasty**Balloon angioplasty is a medical procedure used to restore blood flow through coronary arteries that have been narrowed due to plaque buildup. During this procedure, a surgeon inserts a catheter into the coronary artery and inflates a balloon. This balloon presses the plaque against the artery walls, thereby widening the artery to improve blood flow.**Problem Scenario:**Consider a diseased coronary artery with an initial diameter of 2.0 mm. To enhance blood flow by a factor of 5.0 without altering the existing pressure, to what diameter should the artery be expanded?This involves understanding the relationship between the diameter of the artery and the rate of blood flow, often modeled by Poiseuille's Law, which states that flow rate is proportional to the fourth power of the radius.

Answered: Image /qna-images/answer/86c191d2-cc2a-44f7-a7cc-c1abe8887f91.jpg

|| Balloon angioplasty is a technique to restore blood flow through coronary arteries that have been narrowed by the build-up of plaque. The surgeon threads a catheter into the cor- onary artery, then inflates a balloon that compresses the plaque against the wall of the artery. Suppose a diseased coronary ar- tery has a diameter of 2.0 mm. To what diameter must it be expanded to increase the blood flow by a factor of 5.0 with no change in pressure?

|| Balloon angioplasty is a technique to restore blood flow through coronary arteries that have been narrowed by the build-up of plaque. The surgeon threads a catheter into the cor- onary artery, then inflates a balloon that compresses the plaque against the wall of the artery. Suppose a diseased coronary ar- tery has a diameter of 2.0 mm. To what diameter must it be expanded to increase the blood flow by a factor of 5.0 with no change in pressure?

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

Related questions

Q: The top of your head is about 30 cmcm above your heart. What is the blood pressure difference…

Q: The virus particles and beads are both dispersed in water, the flow rates in the feed channels are…

A: Given, flow rate,v = 2.0mm s-1 = 2.00×10-3 m/sDiffusion cofficient, D = 3.5×10-12 m2/sThe time…

Q: (a) Determine the speed at which blood is flowing through an artery with a radius of 5.40 × 10-3 m,…

A: ...

Q: A cylindrical blood vessel is partially blocked by the buildup of plaque. At one point, the plaque…

Q: When physicians diagnose arterial blockages, they quote the reduction in flow rate. If the flow rate…

A: It is given that, ΔP2=1.2ΔP1Q2=0.1Q1

Q: The contraction of the left ventricle (chamber) of the heart pumps blood to the body. Assuming that…

Q: L (a) The heart pumps blood into the aorta at a rate of 4 Calculate the average speed of blood if…

A: (a) Calculating the Average Speed of Blood in the AortaGiven:Flow rate of blood into the aorta: 4…

Q: Suppose blood is pumped from the heart at a rate of 4.9 L/min into the aorta of radius 1.1 cm.…

A: pumping rate of blood = 4.9L/min = 4900 ml/min = 4900 ml/60 sec = 81.67 ml/sec = 81.67 cm3/secRadius…

Q: -- If an artery is coated with plaque deposits so that its radius is reduced by is 20%, by what…

A: The flow rate of blood is given by, m˙ =Av Here, 'A' is the cross-sectional area = πr2, and 'v' is…

Q: Suppose that the aorta has a radius of about 1.25 cm and that the typical blood velocity is around…

Q: A shower head has 20 circular openings, each with radius 0.80 mm . The shower head is connected to a…

A: Radius of the circular openings (r)=0.8 m Radius of pipe (R)=0.98 m Speed of water in the pipe…

Q: When you urinate, you increase pressure in your bladder to produce the flow. For an elephant,…

A: Given Data: The rate of elephant urine is, Q=0.0060 m3/s The diameter of the tube is d=8.0 cm The…

Q: The radius of an artery decreases from 1.2 to 0.5cm due to atherosclerosis. If the average blood…

A: Scenario - Due to atherosclerosis, radius of blood vessels decrease so that rate of blood flow is…

Q: We’ve seen that fish can control their buoyancy through the use of a swim bladder, a gas-filled…

A: a. Let Patm denote the atmospheric pressure at the sea-level. The pressure inside the sea is this…

Q: A fluid travels through a pipe of cross-sectional area A1 then moves through a connection into…

A: According to the continuity equation, AV=constant. Here, A is the area of the pipe. V is the…

Q: a covid patient in ICU is injected with IV intravenous fluid. The IV flows from a raised bottle into…

A: When we raise the bottle the pressure of injection increases. This pressure will be equal to ρgh.…

Q: Suppose the flow rate of blood through a 1.85 × 10–6-m radius capillary is 3.95 × 10-9 cm3/s. a)…

A: Given Data : The diameter of the capillary is given as r=1.85×10-6m. The flow rate of the blood is…

Q: The velocity of the blood in the aorta is about 0.5 m/s, and the velocity of the blood in a…

A: Equation of continuity: A1v1=nA2v2 where A1 is area of cross section of aorta A2 is area…

Q: Suppose you measure a standing person's blood pressure by placing the cuff on his leg 0.500 m below…

Q: Suppose the flow rate of blood through a 1.85 × 10–6-m radius capillary is 3.95 × 10-9 cm3/s. a)…

Q: Calculate the mass flow rate (in grams per second) of blood (? = 1.0 g/cm3) in an aorta with a…

A: Given data: The density of blood is ρ=1.0 g/cm3. The cross-sectional area of aorta is a=2.0 cm2. The…

Q: A 1 cm long section of a blood vessel has a constriction that reduces the inner diameter from 4 mm…

Q: The flow rate of blood through a 2.00 x 10-6 m radius capillary is 3.80 x 10-9 cm3/s. (a) What is…

Q: During a marathon race, a runner's blood flow increases to 12.0 times her resting rate. Her blood's…

Q: 51. . The blood flow speed through an aorta with a radius of 1.00 cm is 0.265 m/s. If hardening of…

A: The answer is below

Q: In the human body, blood vessels can dilate, or increase their radii, in response to various…

Q: Calculate the minimum speed would blood need to travel through a small blood vessel with a radius of…

A: Given data The radius of the blood vessel is given as r = 1 mm. The viscosity of the blood is given…

Concept explainers

Variation of pressure

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

Question

**Balloon Angioplasty**

Balloon angioplasty is a medical procedure used to restore blood flow through coronary arteries that have been narrowed due to plaque buildup. During this procedure, a surgeon inserts a catheter into the coronary artery and inflates a balloon. This balloon presses the plaque against the artery walls, thereby widening the artery to improve blood flow.

**Problem Scenario:**

Consider a diseased coronary artery with an initial diameter of 2.0 mm. To enhance blood flow by a factor of 5.0 without altering the existing pressure, to what diameter should the artery be expanded?

This involves understanding the relationship between the diameter of the artery and the rate of blood flow, often modeled by Poiseuille's Law, which states that flow rate is proportional to the fourth power of the radius.

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: Given and finding the relation between the velocities:

VIEW

Step 2: Finding the relation for the larger diameter:

VIEW

Step 3: Finding the value for the larger diameter:

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 4 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

Problem 3: Suppose the aqueous humor in a person's eye exerts a force of 0.28 N on the 1.35-cm² area of the cornea. What is the pressure, in mm Hg, on the cornea? P = | sin() cotan() atan() acotan() cosh() tanh() cos() asin() O Degrees Submit tan() π 7 acos() E M 4 1 sinh() cotanh() Radians Hint 8 9 5 6 2 3 + 0 VO BACKSPACE Feedback DEL I give up! HOME END CLEAR
Blood is pump from the heart at a rate of 5 L/min into the aorta (of radius 1 cm). Determine the speed of blood through the aorta.
Blood is ejected from the left ventricle of the heart into the aorta through the aortic valve. Aortic stenosis is a stiffening of this valve which leads to faulty fluid mechanics. This problem explores the how the different models of fluid motion can be used to study an unhealthy valve. The density and viscosity of blood are 1060 and 0.004 Pa·s, respectively. kg m³ Aortic Stenosis Aortic Valve with Stenosis Normal Aortic Valve Aorta Mount Sinai Medical Center New York All Rights Reserved Restricted Blood Flow Normal Blood Flow Model the valve and the heart chambers as shown in the figure below. Aorta -Valve Ventricle Mount Sinai
Hint Blood is pumped from the heart at a rate of 6.76 L/min into the aorta (of radius 1.1 cm). Determine the speed of blood (in cm/s) through the aorta. Question Help
This Cannot be hand-drawn, this physics solution must be typed out, and the explanation in the simplest manner.
When you urinate, you increase pressure in your bladder to produce the flow. For an elephant, gravity does the work. An elephant urinates at a remarkable rate of 0.0060 m3m3 (a bit over a gallon and a half) per second. Assume that the urine exits 1.0 mm below the bladder and passes through the urethra, which we can model as a tube of diameter 8.0 cmcm and length 1.2 mm. Assume that urine has the same density as water, and that viscosity can be ignored for this flow. What is the speed of the flow? If we assume that the liquid is at rest in the bladder (a reasonable assumption) and that the pressure where the urine exits is equal to atmospheric pressure, what does Bernoulli's equation give for the gauge pressure in the bladder?
Snorkels are U-shaped tubes that allow swimmers to breath while swimming just below the surface of the water (1,028 kg/m). An average human can reduce the air pressure in their lungs by 2.53 KPa, when they extend their diaphram and expand their rib cage. Answer tolerance of ±5 on the third signficant digit. a) Calculate the maximum depth a snorkeler can swim under water, while breathing through the snorkel. Number Units The U-shaped manometer shown below has one end open to the atmosphere and the other end attached to a canister of pressurized gas. Saltwater is the liquid (p = 1,025 kg/m) in the manometer which extends a height 8.21 cm above point (3). Answer tolerance of ±5 on the third signficant digit. a) Calculate the absolute pressure of the gas in the canister. Number Units (1) ha hi (2) (3)
A medical technician tries to determine what percentage of a patient's artery is blocked by the plate. To do this, she measures the blood pressure just before the blockage region and finds that it is 1.2 × 104 Pa, while in the blockage region it is 1.15 × 104 Pa. In addition, she knows that blood is circulating in the normal artery just before the blockage point at one point. speed of 30.0 cm/s. The density of the patient's blood is 1.06 g cm-3 What percentage of the patient's artery cross section is blocked by plaque? (please show steps, explanation, formulas for more comprehension)
The volume flow rate in an artery supplying the brain is 3.6 x 10-6 m3/s. a) If the radius of the artery is 5.2 mm, determine the average blood flow speed. b) Find the average blood speed at a constriction in the artery if the constriction reduces the radius to one – third of the original. Assume that the volume flow rate is the same as that in part (a).
Blood takes about 1.45 s to pass through a 2.00 mm long capillary. If the diameter of the capillary is 5.00 µm and the pressure drop is 2.25 kPa, calculate the viscosity n of blood. Assume laminar flow. n = -1.59 ×10-4 Incorrect (N-s)/m²
L (a) The heart pumps blood into the aorta at a rate of 4 the aorta's diameter is 2.1 cm. Calculate the average speed of blood if min V blood = cm S (b) The aorta branches many times until the blood finally reaches the smallest branch: the capillaries. Each capillary has an average diameter of 6.9 μm and the blood slows down to 0.5 the number of capillaries in the body. Does this answer look reasonable? mm Calculate . S n = caps capillaries (c) For what duration of time is a red blood cell in a capillary if the average capillary length is 1 mm? t = (d) Why does the blood need to flow much slower through the capillaries than the aorta? ○ A. The capillaries are thin and might burst. ○ B. There must be sufficient time for the exchange of substances to occur across the cell membrane of the capillaries. O C. There is a smaller cross-sectional area. ○ D. None of these.
1. A garden hose having an internal diameter of 1.9 cm is connected to a lawn sprinkler that consists of an enclosure with 25 holes, each 0.13 cm in diameter. If the water in the hose has a speed of 1.1 m`/s, at what speed does it leave the sprinkler holes?