COLLEGE PHYSICS
2nd Edition
ISBN: 9781711470832
Author: OpenStax
Publisher: XANEDU
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Textbook Question
Chapter 12, Problem 45PE
During a marathon race, a runner's blood flow increases to 10.0 times her resting rate. Her blood's viscosity has dropped to 95.0% of its normal value, and the blood pressure difference across the circulatory system has increased by 50.0%. By what factor has the average radii of her blood vessels increased?
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During a marathon race, a runner’s blood flow increases to 10.0 times her resting rate. Her blood’s viscosity has dropped to 95.0% of its normal value, and the blood pressure difference across the circulatory system has increased by 50.0%. By what factor has the average radii of her blood vessels increased?
The human circulation system has approximately 1X109 capillary vessels. Each vessel hasa diameter of about 8μm. Assuming cardiac output is 5L/min, determine the averagevelocity of blood flow through each capillary vessel.
There are two carotid arteries that feed blood to the brain, one on each side of the neck and head. One patient’s carotid arteries are each 11.2 cm long and have an inside diameter of 5.2 mm. Near the middle of the left artery, however, is a 2.0-cmlong stenosis, a section of the artery with a smaller diameter of 3.4 mm. For the same blood flow rate, what is the ratio of thepressure drop along the patient’s left carotid artery to the drop along his right artery?
Chapter 12 Solutions
COLLEGE PHYSICS
Ch. 12 - What is the difference between flow rate and fluid...Ch. 12 - Many figures in the text show streamlines. Explain...Ch. 12 - Identify some substances that are incompressible...Ch. 12 - You can squirt water a considerably greater...Ch. 12 - Water is shot nearly vertically upward in a...Ch. 12 - Look back to Figure 12.4. Answer the following two...Ch. 12 - Give an example of entrainment not mentioned in...Ch. 12 - Prob. 8CQCh. 12 - Some chimney pipes have a T-shape, with a...Ch. 12 - Is there a limit to the height to which an...
Ch. 12 - Why is it preferable for airplanes to take off...Ch. 12 - Roofs are sometimes pushed off vertically during a...Ch. 12 - Why does a sailboat need a keel?Ch. 12 - It is dangerous to stand close to railroad tracks...Ch. 12 - Water pressure inside a hose nozzle can be less...Ch. 12 - Prob. 16CQCh. 12 - If you lower the window on a car while moving, an...Ch. 12 - Based on Bernoulli's equation, what are three...Ch. 12 - Water that has emerged from a hose into the...Ch. 12 - Prob. 20CQCh. 12 - Water pressure inside a hose nozzle can be less...Ch. 12 - Explain why the viscosity of a liquid decreases...Ch. 12 - When paddling a canoe upstream, it is wisest to...Ch. 12 - Why does flow decrease in your shower when someone...Ch. 12 - Prob. 25CQCh. 12 - Doppler ultrasound can be used to the speed of...Ch. 12 - Prob. 27CQCh. 12 - Some ceiling fans have decorative wicker reeds on...Ch. 12 - What direction will a helium balloon move inside a...Ch. 12 - Will identical raindrops fall more rapidly in 5° C...Ch. 12 - If you took two marbles of different sizes, what...Ch. 12 - Why would you expect the rate of diffusion to...Ch. 12 - How are osmosis and dialysis similar? How do they...Ch. 12 - What is the average flow rate in cm3/S of gasoline...Ch. 12 - The heart of a resting adult pumps blood at a rate...Ch. 12 - Blood is pumped from the heart at a rate of 5.0...Ch. 12 - Blood is flowing through an artery of radius 2 mm...Ch. 12 - Prob. 5PECh. 12 - A major artery with a cross-sectional area of 1.00...Ch. 12 - (a) As blood passes through the capillary bed in...Ch. 12 - The human circulation system has approximately...Ch. 12 - (a) Estimate the time it would take to fill a...Ch. 12 - The flow rate of blood through 2.00106 -m-radius...Ch. 12 - (a) What is the fluid speed in a fire hose with a...Ch. 12 - The main uptake air duct of a forced air gas...Ch. 12 - Water is moving at a velocity of 2.00 m/s through...Ch. 12 - Prove that the speed of an incompressible fluid...Ch. 12 - Water emerges straight down from a faucet with a...Ch. 12 - Unreasonable Results A mountain stream is 10.0 m...Ch. 12 - Verify that pressure has units of energy per unit...Ch. 12 - Suppose you have a wind speed gauge like the pitot...Ch. 12 - If the pressure reading of your pitot tube is 15.0...Ch. 12 - Calculate the maximum height to which water could...Ch. 12 - Every few years, winds in Boulder, Colorado,...Ch. 12 - (a) Calculate the approximate force on a square...Ch. 12 - (a) What is the pressure drop due to the Bernoulli...Ch. 12 - (a) Using Bernoulli's equation, show that the...Ch. 12 - Hoover Dam on the Colorado River is the highest...Ch. 12 - A frequently quoted rule of thumb in aircraft...Ch. 12 - The left ventricle of a resting adult's heart...Ch. 12 - A sump pump (used to drain water from the basement...Ch. 12 - (a) Calculate the retarding force due to the...Ch. 12 - What force is needed to pull one microscope slide...Ch. 12 - A glucose solution being administered with an IV...Ch. 12 - The pressure drop along a length of artery is 100...Ch. 12 - A small artery has a length of 1.1103 m and a...Ch. 12 - Fluid originally flows through a tube at a rate of...Ch. 12 - The arterioles (small arteries) leading to an...Ch. 12 - Angioplasty is a technique in which arteries...Ch. 12 - (a) Suppose a blood vessel's radius is decreased...Ch. 12 - A spherical particle falling at a terminal speed...Ch. 12 - Using the equation of the previous problem, find...Ch. 12 - A skydiver will reach a terminal velocity when the...Ch. 12 - A layer of oil 1.50 mm thick is placed between two...Ch. 12 - (a) Verify that a 19.0% decrease in laminar flow...Ch. 12 - Example 12.8 dealt with the flow of saline...Ch. 12 - When physicians diagnose arterial blockages, they...Ch. 12 - During a marathon race, a runner's blood flow...Ch. 12 - Water supplied to a house by a water main has a...Ch. 12 - An oil gusher shoots crude oil 25.0 m into the air...Ch. 12 - Concrete is pumped from a cement mixer to the...Ch. 12 - Construct Your Own Problem Consider a coronary...Ch. 12 - Consider a river that spreads out in a delta...Ch. 12 - Verify that the flow of oil is laminar (barely)...Ch. 12 - Show that the Reynolds number NRis unitless by...Ch. 12 - Calculate the Reynolds numbers for the flow of...Ch. 12 - A fire hose has an inside diameter of 6.40 cm....Ch. 12 - Concrete is pumped from a cement mixer to the...Ch. 12 - At what flow rate might turbulence begin to...Ch. 12 - What is the greatest average speed of blood flow...Ch. 12 - In Take-Home Experiment: Inhalation, we measured...Ch. 12 - Gasoline is piped underground from refineries to...Ch. 12 - Assuming that blood is an ideal fluid, calculate...Ch. 12 - Unreasonable Results A fairly large garden hose...Ch. 12 - You can smell perfume very shortly after opening...Ch. 12 - What is the ratio of the average distances that...Ch. 12 - Oxygen reaches the veinless cornea of the eye by...Ch. 12 - (a) Find the average time required for an oxygen...Ch. 12 - Suppose hydrogen and oxygen are diffusing through...Ch. 12 - Prob. 1TPCh. 12 - Prob. 2TPCh. 12 - Prob. 3TPCh. 12 - Prob. 4TPCh. 12 - Prob. 5TPCh. 12 - Prob. 6TPCh. 12 - Prob. 7TPCh. 12 - Prob. 8TPCh. 12 - Prob. 9TPCh. 12 - Prob. 10TP
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Similar questions
- (a) As blood passes through the capillary bed in an organ, the capillaries join to form venules (small veins). If the blood speed increases by a factor of 4.00 and the total cross-sectional area of the venules is 10.0 cm2, what is the total cross-sectional area of the capillaries feeding these venules? (b) How many capillaries are involved if their average diameter is 10.0 m?arrow_forwardAngioplasty is a technique in which arteries partially blocked with plaque are dilated to increase blood flow. By what factor must the radius of an artery be increased in order to increase blood flow by a factor of 10?arrow_forwardThe heart of a resting adult pumps blood at a rate of 5.00 L/min. (a) Convert this to cm3/s. (b) What is this rate m3/s?arrow_forward
- The heart of a resting adult pumps blood at a rate of 5.00 L/min. (a) Convert this to cm3/s. (b) What is this rate in M3/s?arrow_forwardThe arterioles (small arteries) leading to an organ, constrict in order to decrease flow to the organ. To shut down an organ, blood flow is reduced naturally to 1.00% of its original value. By what factor did the radii of the arterioles constrict? Penguins do this when they stand on ice to reduce the blood flow to their feet.arrow_forwardThe aorta is the principal blood vessel through which blood leaves the heart in order to circulate around the body. (a) Calculate the average speed of the blood in the aorta if the flow rate is 5.0 L/min. The aorta has a radius of 10 mm. (b) Blood also flows through smaller blood vessels known as capillaries. When the rate of blood flow in the aorta is 5.0 L/min, the speed of blood in the capillaries is about 0.33 mm/s. Given that the average diameter of a capillary is 8.0 μm , calculate the number of capillaries in the blood circulatory system.arrow_forward
- The approximate diameter of the aorta is 0.50 cm; that of a capillary is 10 μm. The approximate average blood flow speed is 1.0 m/s in the aorta and 1.0 cm/s in the capillaries. If all the blood in the aorta eventually flows through the capillaries, estimate the number of capillaries in the circulatory system.arrow_forwardThere are two carotid arteries that feed blood to the brain, one on each side of the neck and head. One patient's carotid arteries are each 11.2 cm long and have an inside diameter of 5.1 mm . Near the middle of the left artery, however, is a 2.0-cm-long stenosis, a section of the artery with a smaller diameter of 3.2 mm . For the same blood flow rate, what is the ratio of the pressure drop along the patient's left carotid artery to the drop along his right artery?arrow_forwardItem 12 The small capillaries in the lungs are in close contact with the alveoli. A red blood cell takes up oxygen during the 0 75 s that it squeezes through a capillary at the surface of an alveolus.arrow_forward
- Suppose blood is pumped from the heart at a rate of 5.4 L/min into the aorta of radius 1.2 cm. Suppose blood is pumped from the heart at a rate of 5.4 L/min into the aorta of radius 1.2 cm. v= cm/sarrow_forwardL (a) The heart pumps blood into the aorta at a rate of 4 Calculate the average speed of blood if min the aorta's diameter is 2.1 cm. cm V blood 0.01198 S mm (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? Calculate S n = 1.8397X10 × capillaries caps (c) For what duration of time is a red blood cell in a capillary if the average capillary length is 1 mm? t = 167.06 Sarrow_forwardL (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.arrow_forward
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