University Physics Volume 1
18th Edition
ISBN: 9781938168277
Author: William Moebs, Samuel J. Ling, Jeff Sanny
Publisher: OpenStax - Rice University
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Textbook Question
Chapter 14, Problem 112AP
The human circulation system has approximately
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The human circulation system has approximately 1 × 109 capillary vessels. Each vessel has a diameter of about 8μm . Assuming cardiac output is 5 L/min, determine the average velocity of blood flow through each capillary vessel.
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.
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.
Chapter 14 Solutions
University Physics Volume 1
Ch. 14 - Check Your Understanding If the reservoir in...Ch. 14 - Check Your Understanding Mercury is a hazardous...Ch. 14 - Check Your Understanding Would a hydraulic press...Ch. 14 - Which of the following substances are fluids at...Ch. 14 - Why are gases easier to compress tan liquids and...Ch. 14 - Explain how the density of air varies with...Ch. 14 - The images show a glass of ice water filled to the...Ch. 14 - How is pressure related to sharpness of a knife...Ch. 14 - Why is a force exerted by a static fluid on a...Ch. 14 - Imagine a remote location near the Nott Pole, a...
Ch. 14 - In ballet, dancing en pointe (on the tips of the...Ch. 14 - Atmospheric pressure exerts a large force (equal...Ch. 14 - Why does atmospheric pressure decrease more...Ch. 14 - The image shows how sandbags placed around a leak...Ch. 14 - Is there a net force on a dam due to atmospheric...Ch. 14 - Does atmospheric pressure add to the gas pressure...Ch. 14 - You can break a strong wine bottle by pounding a...Ch. 14 - Explain why the fluid reaches equal levels on...Ch. 14 - Suppose the master cylinder in a hydraulic system...Ch. 14 - More force is required to pull the plug in a full...Ch. 14 - Do fluids exert buoyant forces in a “weightless"...Ch. 14 - Will the same ship float higher in salt water than...Ch. 14 - Marbles dropped into a partially filled bathtub...Ch. 14 - Mary figures in the show streamlines. Explain why...Ch. 14 - You can squirt water from a garden hose a...Ch. 14 - Water is shot nearly vertically upward in a...Ch. 14 - Look back to figure 14.29. Answer the following...Ch. 14 - A tube with a narrow segment designed to enhance...Ch. 14 - Some chimney pipes have a T-shape, with a...Ch. 14 - Is there a limit to the height to which an...Ch. 14 - Why is it preferable for airplanes to take off...Ch. 14 - Roofs are sometimes pushed off vertically a...Ch. 14 - It is dangerous to stud close to railroad tracks...Ch. 14 - Water pressure inside a hose nozzle can be less...Ch. 14 - David rolled down the window on his car while...Ch. 14 - Based on Bernoulli’s equation, what are three...Ch. 14 - The old rubber boot below has leaks. To what...Ch. 14 - Water pressure inside a hose nozzle can be less...Ch. 14 - Explain why the viscosity of a liquid decreases...Ch. 14 - When paddling a canoe upstream, it is wisest to...Ch. 14 - Plumbing usually includes air-filled tubes tear...Ch. 14 - Doppler ultrasound can be used to measure the...Ch. 14 - Sink drains often have a device such as that shown...Ch. 14 - Gold is sold by the troy ounce (31.103 g). What is...Ch. 14 - Mercury is commonly supplied in flasks containing...Ch. 14 - What is the mass deep breath of air having a...Ch. 14 - A straightforward method of finding the density of...Ch. 14 - Suppose you have a coffee with a circular...Ch. 14 - A rectangular gasoline tank bold 30.0 kg of...Ch. 14 - A trash compactor can compress its contents to...Ch. 14 - A 2.50-kg steel gasoline can holds 20.0 L of...Ch. 14 - What is the density of 18.0-karat gold that is a...Ch. 14 - The tip of a nail exerts tremendous pressure when...Ch. 14 - A glass tube mercury. What would be the height of...Ch. 14 - The greatest ocean depths on Earth are found in...Ch. 14 - Verigy that the SI of hpg is N/m2.Ch. 14 - What pressure is exerted the bottom of a gas tank...Ch. 14 - A dam is used to hold back a river. The dam has a...Ch. 14 - Find ae gauge and absolute pressures in be balloon...Ch. 14 - How tall must be to measure blood pressure as high...Ch. 14 - Assuming bicycle tires are perfectly flexible and...Ch. 14 - Pascal’s Principle and Hydraulics 59. How much...Ch. 14 - What force must exerted on the master cylinder of...Ch. 14 - A host pours the remnants of several of wine into...Ch. 14 - A certain hydraulic system is designed to exert a...Ch. 14 - Verify that work input equals work output for a...Ch. 14 - What fraction of ice is submerged when it floats...Ch. 14 - If a person's body has a density of 995 kg/m3,...Ch. 14 - A rock with a mass of 540 g in air is found to...Ch. 14 - Archimedes' principle can be used to calculate the...Ch. 14 - Calculate the buoyant force a 200-L helium...Ch. 14 - What is density of a woman floats in fresh water...Ch. 14 - A man has a mass of 80 kg and a density of...Ch. 14 - A simple compass cute made by placing a small bar...Ch. 14 - What percentage of an iron anchor’s weight will be...Ch. 14 - Referring to Figure 14.20, prove that the buoyant...Ch. 14 - A 75.0-kg floats in freshwater 3.00% of his volume...Ch. 14 - What is the average flow rate in cm3/s of gasoline...Ch. 14 - The heart of a resting adult pumps blood at a rate...Ch. 14 - The Huka Falls on the Waikato River is one of New...Ch. 14 - (a) Estimate the time it would take to a private...Ch. 14 - What is the fluid speed a hose a 9.00-cm diameter...Ch. 14 - Water is moving at a velocity of 2.00 m/s through...Ch. 14 - Prove the sped of an incompressible fluid through...Ch. 14 - Water emerges straight down from a faucet with a...Ch. 14 - Verify that pressure has units of enery per unit...Ch. 14 - Suppose you have a wind speed gauge like the pitot...Ch. 14 - If be pressure reading of your pitot tube is 15.0...Ch. 14 - Every few years, winds in Boulder, Colorado,...Ch. 14 - What is the pressure drop due to the Bernoulli...Ch. 14 - (a) Using Bernoulli's equation, show that be...Ch. 14 - A container of water has a cross-sectional area of...Ch. 14 - A fluid of a constant density flows through a...Ch. 14 - (a) Calculate the retarding force due to viscosity...Ch. 14 - The arterioles (small arteries) leading to organ...Ch. 14 - A spherical particle falling at a terminal speed...Ch. 14 - Using the equation of the previous problem, find...Ch. 14 - A skydiver will reach a terminal velocity when the...Ch. 14 - (a) Verify that a 19.0% decrease in laminar flow...Ch. 14 - When physicians diagnose arterial blockages, they...Ch. 14 - An oil gusher shoots crude 25.0 m the through a...Ch. 14 - Concrete is pumped from a cement mixer to the...Ch. 14 - Verify that flow of oil is laminar for an oil...Ch. 14 - Calculate Reynolds numbers for flow of trough (a)...Ch. 14 - A fire hose has an inside diameter of 6.40 cm....Ch. 14 - At what rate might turbulence begin to develop in...Ch. 14 - Before digital storage devices, such as the memory...Ch. 14 - Water towers store water above the level of...Ch. 14 - The aqueous humor in a person's eye is exerting a...Ch. 14 - (a) Convert normal blood pressure readings of 120...Ch. 14 - Pressure cookers have been around for more than...Ch. 14 - Bird bones have air pockets to reduce their...Ch. 14 - In an immersion measurement of a woman's density,...Ch. 14 - Some have a density slightly less than that of...Ch. 14 - The human circulation system has approximately...Ch. 14 - The flow of blood through a 2.00106 m -radius...Ch. 14 - The left ventricle of a resting adult's heart...Ch. 14 - A sump pump (used to drain water from be basement...Ch. 14 - A glucose solution being administered with an IV...Ch. 14 - A small artery has a length of 1.1103m and a...Ch. 14 - Angioplasty is a technique in which arteries...Ch. 14 - Suppose a blood vessel's radius is decreased to...Ch. 14 - The pressure dam early in problems section...Ch. 14 - The temperature of atmosphere is not always...Ch. 14 - A submarine is stranded on the bottom of the ocean...Ch. 14 - Logs sometimes float vertically a lake because one...Ch. 14 - Scurrilous con artists have been known to...Ch. 14 - The inside volume of a house is equivalent to that...Ch. 14 - A garden hose with a diameter of 2.0 cm is used to...Ch. 14 - A frequency quoted rule of thumb aircraft design...Ch. 14 - Two pipes of equal and constant diameter leave a...Ch. 14 - Fluid originally flows through a tube at a rate of...Ch. 14 - During a marathon race, a runner's blood flow...Ch. 14 - Water supplied to a house by a water main has a...Ch. 14 - Gasoline is piped underground from refineries to...
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- Blood is pumped from the heart at a rate of 5.0 L/min into the aorta (of radius 1.0 cm). Determine the speed of blood through the aorta.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_forwardblood flows through the aorta at an average speed of v=18 cm/s. The aorta is roughly cylindrical with a radius r=18.0 mm. The volume rate of blood flow through the aorta is 3.14r^2v. Calculate the volume rate of blood flow through the aorta in L.min.arrow_forward
- 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.arrow_forwardThe human ciculatory system has approximately 109 capillary vessels. Each vessel has a diameter of about 8.4 μm. Assuming cardiac output is 4.2 L/min, determine the average velocity (m/s) of blood flow through each capillary vessel.arrow_forwardThe approximate inside diameter of the aorta is 0.53 cm; that of a capillary is 12 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. _______________capillariesarrow_forward
- Human blood flows from the aorta to the capillaries. A girl has an aorta radius of 13 mm. Assume she has 7 billion capillaries in the body, the capillaries radius average 4 µm (micrometer), and the blood speed average 0.5 mm/s in the capillaries. The blood speed is _____ mm/s in the aorta.arrow_forwardHuman blood flows from the aorta to the capillaries. A girl has an aorta radius of 13 mm. Assume She has 7 billion capillaries in the body, the capillaries radius average 4 micrometers, and the blood speed average 0.5 mm/s in the capillaries. The blood speed is ___ mm/s in the aorta.arrow_forward(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 9.5 cm2, what is the total cross-sectional area of the capillaries feeding these venules? (b) How many capillaries are involved if their average diameter is20.0 μm?arrow_forward
- 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.arrow_forwardGiven the average heart rate of a human is 7.00 beats per minute and the average volume flow of blood pumped out by the heart to the body is 70.0ml/beat. A, Determine the average flow rate for blood in units of milliliters per minute.(mL/min)arrow_forwardThe leaves of a tree lose water to the atmosphere via the process of transpiration. A particular tree loses water at the rate of 3 × 10-8 m3/s; this water is replenished by the upward flow of sap through vessels in the trunk. This tree’s trunk contains about 2000 vessels, each 100 μm in diameter. What is the speed of the sap flowing in the vessels?arrow_forward
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