Physics, Books a la Carte Edition (5th Edition)
5th Edition
ISBN: 9780134020853
Author: James S. Walker
Publisher: PEARSON
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Textbook Question
Chapter 15, Problem 73PCE
BIO (a) Find the volume of blood that flows per second through the pulmonary artery described in Example 15-25. (b) If the radius of the artery is reduced by 18%, by what factor is the blood flow rate reduced? Assume that all other properties of the artery remain unchanged.
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The chart provides typical values for blood flow through a coronary artery.
Density (blood)
1060 kg/m³
Viscosity (blood)
0.004 Pa*s
Flow rate
0.8 mL/s
Length (artery)
3 cm
Radius (artery)
0.18 cm
(a) Using Poiseuille's Law, calculate the pressure drop across this artery. (Things to think
about: How does the pressure drop calculated in this part compare to mean arterial
pressure?) Use 1 mL = 10-6 m³.
ΔΡ = | 23.29
Pa
V= .0786
(b) Calculate the velocity of blood through this artery. Hint: How is velocity of the flow
related to flow rate?
Р
n
Q
m
S
Q= .0065
r
(c) If the artery forms blockages, the pressure drop might remain the same as above, since
the heart supplies a constant pressure. Assuming the pressure drop in a healthy coronary
artery is the same as calculated in part (a), calculate the flow rate for this artery if the radius
experiences an 7.5% reduction.
mL
S
(d) Similar to the question above: Assuming the pressure drop in a healthy coronary artery is
A common cause of cardiovascular disease is atherosclerosis, the hardening and narrowing of
arteries due to a buildup of plaque. For instance, significant narrowing in the coronary arteries,
which bring oxygenated blood to the heart, can produce symptoms such as chest pain, dizziness, and
breathlessness.
Heart muscle
Coronary artery
(supplies blood
and oxygen to
heart muscle)
Healthy
heart
muscle
Blood clot
blocks
artery
Blocked
blood flow
Plaque
Coronary
artery
buildup
in artery
Dead heart muscle
Image by NIH: National Heart, Lung and Blood Institute [Public domain], via Wikimedia Commons
The chart provides typical values for blood flow through a coronary artery.
1060 kg/m³
Density (blood)
P
Viscosity (blood)
0.004 Pa*s
Flow rate
Q
0.8 mL/s
Length (artery)
L
3 cm
Radius (artery)
r
0.18 cm
(a) Using Poiseuille's Law, calculate the pressure drop across this artery. (Things to think about: How
does the pressure drop calculated in this part compare to mean arterial pressure?) Use 1 mL =…
(a) The volume flow rate in an artery supplying the brain is 4.0 x 10-6 m3/s. If the radius of the artery is 4.8 mm, determine the average blood speed and the average blood speed as a constriction in the artery if the constriction reduces the radius by a factor of 5.
Chapter 15 Solutions
Physics, Books a la Carte Edition (5th Edition)
Ch. 15.1 - Prob. 1EYUCh. 15.2 - A force F acts on a circular area of radius r....Ch. 15.3 - Is the increase in pressure from the surface of...Ch. 15.4 - Is the buoyant force exerted on a cubical block of...Ch. 15.5 - A cup is filled to the brim with water. Floating...Ch. 15.6 - Water flows with a speed V through a pipe. If the...Ch. 15.7 - Water flows through a pipe with a varying...Ch. 15.8 - Prob. 8EYUCh. 15.9 - Which pipe requires a greater pressure difference...Ch. 15 - Suppose you drink a liquid through a straw....
Ch. 15 - Considering your answer to the previous question,...Ch. 15 - Prob. 3CQCh. 15 - What holds a suction cup in place?Ch. 15 - Suppose a force of 400 N is required to push the...Ch. 15 - Why is it more practical to use mercury in the...Ch. 15 - An objects density can be determined by first...Ch. 15 - How does a balloonist control the vertical motion...Ch. 15 - Why is it possible for people to float without...Ch. 15 - Prob. 10CQCh. 15 - One day, while snorkeling near the surface of a...Ch. 15 - Since metal is more dense than water, how is it...Ch. 15 - A sheet of water passing over a waterfall is...Ch. 15 - It is a common observation that smoke rises more...Ch. 15 - Prob. 15CQCh. 15 - If you have a hair dryer and a Ping Pong ball at...Ch. 15 - Prob. 1PCECh. 15 - What weight of water is required to fill a...Ch. 15 - You buy a gold ring at a pawn shop. The ring has a...Ch. 15 - A cube of metal has a mass of 0.347 kg and...Ch. 15 - What is the downward force exerted by the...Ch. 15 - Prob. 6PCECh. 15 - A 71-kg person sits on a 3.9-kg chair. Each leg of...Ch. 15 - To prevent damage to floors (and to increase...Ch. 15 - Suppose that when you ride on your 7.85-kg bike...Ch. 15 - Shock Wave Pressure On February 15, 2013, a...Ch. 15 - Predict/Calculate The weight of your 1420-kg car...Ch. 15 - Two drinking glasses, 1 and 2, are filled with...Ch. 15 - Figure 15-39 shows four containers, each filled...Ch. 15 - Water in the lake behind Hoover Dam is 221 m deep....Ch. 15 - In a classroom demonstration, the pressure inside...Ch. 15 - As a storm front moves in, you notice that the...Ch. 15 - Prob. 17PCECh. 15 - A circular wine barrel 75 cm in diameter will...Ch. 15 - A cylindrical container with a cross-sectional...Ch. 15 - Prob. 20PCECh. 15 - Predict/Calculate A water storage tower is filled...Ch. 15 - Predict/Calculate You step into an elevator...Ch. 15 - Suppose you pour water into a container until it...Ch. 15 - Referring to Example 15-8, suppose that some...Ch. 15 - Prob. 25PCECh. 15 - BIO Predict/Calculate The patient in Figure 15-41...Ch. 15 - A cylindrical container 1.0 m tall contains...Ch. 15 - Prob. 28PCECh. 15 - Lead is more dense than aluminum. (a) Is the...Ch. 15 - A fish adjusts its buoyancy to hover in one place...Ch. 15 - A raft is 3.7 m wide and 6.1 m long. When a horse...Ch. 15 - Prob. 32PCECh. 15 - Prob. 33PCECh. 15 - A 3.2-kg balloon is filled with helium (density =...Ch. 15 - A hot-air balloon plus cargo has a mass of 312 kg...Ch. 15 - In the lab you place a beaker that is half full of...Ch. 15 - Predict/Explain A block of wood has a steel ball...Ch. 15 - Predict/Explain In the preceding problem, suppose...Ch. 15 - Measuring Density with a Hydrometer A hydrometer,...Ch. 15 - Predict/Explain Referring to Example 15-12,...Ch. 15 - On a planet in a different solar system the...Ch. 15 - An air mattress is 2.3 m long, 0.66 m wide, and 14...Ch. 15 - A solid block is attached to a spring scale. When...Ch. 15 - Prob. 44PCECh. 15 - BIO A person weighs 756 N in air and has a...Ch. 15 - Predict/Calculate A log floats in a river with...Ch. 15 - A person with a mass of 78 kg and a volume of...Ch. 15 - Predict/Calculate A block of wood floats on water....Ch. 15 - A piece of lead has the shape of a hockey puck,...Ch. 15 - Predict/Calculate A lead weight with a volume of...Ch. 15 - To water the yard, you use a hose with a diameter...Ch. 15 - Water flows through a pipe with a speed of 2.4...Ch. 15 - To fill a childs inflatable wading pool, you use a...Ch. 15 - Prob. 54PCECh. 15 - Prob. 55PCECh. 15 - Prob. 56PCECh. 15 - A river narrows at a rapids from a width of 12 m...Ch. 15 - Prob. 58PCECh. 15 - BIO Plaque in an Artery The buildup of plaque on...Ch. 15 - A horizontal pipe contains water at a pressure of...Ch. 15 - Unfiltered olive oil must flow at a minimum speed...Ch. 15 - Prob. 62PCECh. 15 - Predict/Calculate Water flows through a horizontal...Ch. 15 - A garden hose is attached to a water faucet on one...Ch. 15 - A water tank springs a leak. Find the speed of...Ch. 15 - (a) Find the pressure difference on an airplane...Ch. 15 - On a vacation flight, you look out the window of...Ch. 15 - Prob. 68PCECh. 15 - Predict/Calculate During a thunderstorm, winds...Ch. 15 - A garden hose with a diameter of 1.6 cm has water...Ch. 15 - Prob. 71PCECh. 15 - BIO Vasodilation When the body requires an...Ch. 15 - BIO (a) Find the volume of blood that flows per...Ch. 15 - BIO An Occlusion in an Artery Suppose an occlusion...Ch. 15 - Motor Oil The viscosity of 5W-30 motor oil changes...Ch. 15 - Prob. 76PCECh. 15 - Prob. 77GPCh. 15 - CE Predict/Explain A person floats in a boat in a...Ch. 15 - CE A person floats in a boat in a small backyard...Ch. 15 - CE The three identical containers in Figure 15-46...Ch. 15 - Prob. 81GPCh. 15 - A water main broke on Lake Shore Drive in Chicago...Ch. 15 - Prob. 83GPCh. 15 - BIO Power Output of the Heart The power output of...Ch. 15 - A solid block is suspended from a spring scale....Ch. 15 - A wooden block with a density of 710 kg/m3 and a...Ch. 15 - Predict/Calculate Floating a Ball and Block A...Ch. 15 - The Depth of the Atmosphere Evangelista Torricelli...Ch. 15 - The Hydrostatic Paradox I Consider the lightweight...Ch. 15 - The Hydrostatic Paradox II Consider the two...Ch. 15 - Predict/Calculate A backyard swimming pool is...Ch. 15 - A prospector finds a solid rock composed of...Ch. 15 - Predict/Calculate (a) If the tension in the string...Ch. 15 - Prob. 94GPCh. 15 - Prob. 95GPCh. 15 - Prob. 96GPCh. 15 - BIO A person weighs 685 N in air but only 497 N...Ch. 15 - Thunderstorm Outflow Rain-cooled air near the core...Ch. 15 - A horizontal pipe carries oil whose coefficient of...Ch. 15 - BIO A patient is given an injection with a...Ch. 15 - Going Over Like a Mythbuster Lead Balloon On one...Ch. 15 - A round wooden log with a diameter of 73 cm floats...Ch. 15 - Figure 15-52 Problem 103 103. The hollow,...Ch. 15 - A geode is a hollow rock with a solid shell and an...Ch. 15 - A tank of water filled to a depth d has a hole in...Ch. 15 - The water tank in Figure 15-53 is open to the...Ch. 15 - Prob. 107PPCh. 15 - Prob. 108PPCh. 15 - Doughnuts are cooked by dropping the dough into...Ch. 15 - Prob. 110PPCh. 15 - Predict/Calculate Referring to Example 15-8...Ch. 15 - Referring to Example 15-8 Find the height...Ch. 15 - Referring to Example 15-24 (a) Find the height H...Ch. 15 - Prob. 116PP
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