College Physics
1st Edition
ISBN: 9781938168000
Author: Paul Peter Urone, Roger Hinrichs
Publisher: OpenStax College
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Chapter 12, Problem 10PE
The flow rate of blood through
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The flow rate of blood through a 2.25 ✕ 10−6 m radius capillary is 3.80 ✕ 10−9 cm3/s.
(a)
What is the speed of the blood flow (in cm/s)? (This small velocity allows time for diffusion of materials to and from the blood.)
(b)
Assuming all the blood in the body passes through capillaries, how many of them must there be to carry a total flow of 80.0 cm3/s? (The large number obtained is an overestimate, but it is still reasonable.)
The flow rate of blood through a 1.75 ✕ 10−6 m radius capillary is 3.80 ✕ 10−9 cm3/s.
(a)What is the speed of the blood flow (in cm/s)? (This small velocity allows time for diffusion of materials to and from the blood.)
________ cm/s
(b)Assuming all the blood in the body passes through capillaries, how many of them must there be to carry a total flow of 96.0 cm3/s? (The large number obtained is an overestimate, but it is still reasonable.)
________ capillaries
The 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.
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 - Many entrainment devices have a constriction,...Ch. 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 - A perfume bottle or atomizer sprays a fluid that...Ch. 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 - The old rubber boot shown in Figure 12.26 has two...Ch. 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 - Plumbing usually includes air-filled tubes near...Ch. 12 - Doppler ultrasound can be used to the speed of...Ch. 12 - Sink drains often have a device such as that shown...Ch. 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 - The Huka Falls on the Waikato River is one of New...Ch. 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...
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