Explanation Given data: The length of artery is 11.2 cm , inside diameter is 5.2 mm , the length of stenosis is 2.0 cm and diameter of left artery at stenosis is 3.4 cm Explanation: Refer to Table 13.3 in the textbook for the viscosities of fluids. The viscosity coefficient of blood at body temperature is 2.5 × 10 − 3 Pa ⋅ s . The blood is a viscous fluid. Consider blood has radius R and length L . Formula used: Write the expression for viscous flow of blood by the use of Poiseuille’s equation. Q = π R 4 Δ p 8 η L Here, Δ p is pressure difference, η is coefficient of viscosity, L is length, Q is flow rate, and R is radius. Re-arrange the expression. Δ p = 8 η L Q π R 4 (1) The stenosis is an abnormal decrease body. Hence the left artery narrows down at stenosis. The equation (1) is applicable for right artery and is not applicable to left artery directly since it has a stenosis. The pressure difference in left artery results as a sum of the pressure drop in wide and narrowed sections and hence length and radius changes accordingly whereas remaining parameters remain unchanged. Consider the expression to find the wide part of left artery ( L wide ) . L wide = L − L narrow Here, L is length of artery, and L narrow is length of stenosis. Substitute 11.2 cm for L and 2.0 cm for L narrow , L wide = 11.2 cm − 2.0 cm =9 .2 cm = 0 .092 m { ∵ 1 cm = 0.01 m } Modify the equation (1), for left artery. Δ p L = 8 η L wide Q π R wide 4 + 8 η L narrow Q π R narrow 4 Here, Δ p L is pressure difference in left artery, R wide is radius of wide artery, and R narrow is radius of narrow artery. Modify the equation (1), for right artery. Δ p R = 8 η L R Q π R R 4 Here, Δ p R is pressure difference in right artery, R R is radius of right artery, and L R is length of right artery. Find the ration of Δ p L Δ p R

4th Edition

ISBN: 9780134700427

Author: Knight

Publisher: PEARSON

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Question

Chapter 13, Problem 68GP

To determine

The ratio of pressure drop along the patient’s left carotid artery to the drop along his right artery.

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Chapter 13, Problem 67GP

Chapter 13, Problem 69GP

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Chapter 13 Solutions

COLLEGE PHYSICS - LCPO

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Ch. 13 - Prob. 11CQ Ch. 13 - Imagine a square column of the atmosphere, 1 m on...Ch. 13 - Prob. 13CQ Ch. 13 - Prob. 14CQ Ch. 13 - A beaker of water rests on a scale. A metal ball...Ch. 13 - Prob. 16CQ Ch. 13 - Prob. 17CQ Ch. 13 - Prob. 18CQ Ch. 13 - A heavy lead block and a light aluminum block of...Ch. 13 - When you place an egg in water, it sinks. If you...Ch. 13 - The water of the Dead Sea is extremely salty,...Ch. 13 - Fish can adjust their buoyancy with an organ...Ch. 13 - Prob. 23CQ Ch. 13 - Prob. 24CQ Ch. 13 - Prob. 25CQ Ch. 13 - Prob. 27CQ Ch. 13 - Prob. 28CQ Ch. 13 - Is it possible for a fluid in a tube to flow in...Ch. 13 - Prob. 31CQ Ch. 13 - Prob. 32MCQ Ch. 13 - Figure Q.13.33 shows a 100 g block of copper ( =...Ch. 13 - Masses A and B rest on very light pistons that...Ch. 13 - Prob. 35MCQ Ch. 13 - Prob. 36MCQ Ch. 13 - A large beaker of water is filled to its rim with...Ch. 13 - Prob. 38MCQ Ch. 13 - Prob. 40MCQ Ch. 13 - An object floats in water, with 75% of its volume...Ch. 13 - Prob. 42MCQ Ch. 13 - Water flows through a 4.0-cm-diameter horizontal...Ch. 13 - A 15-m-long garden hose has an inner diameter of...Ch. 13 - Prob. 1P Ch. 13 - Prob. 2P Ch. 13 - A standard gold bar stored at Fort Knox, Kentucky,...Ch. 13 - Prob. 4P Ch. 13 - Prob. 5P Ch. 13 - Prob. 6P Ch. 13 - Prob. 7P Ch. 13 - Prob. 8P Ch. 13 - A tall cylinder contains 25 cm of water. Oil is...Ch. 13 - A 35-cm-tall, 5.0-cm-diameter cylindrical beaker...Ch. 13 - The gauge pressure at the bottom of a cylinder of...Ch. 13 - Prob. 12P Ch. 13 - A research submarine has a 20-cm-diameter window...Ch. 13 - The highest that George can suck water up a very...Ch. 13 - Prob. 15P Ch. 13 - Prob. 16P Ch. 13 - Prob. 17P Ch. 13 - Glycerin is poured into an open U-shaped tube...Ch. 13 - A U-shaped tube, open to the air on both ends,...Ch. 13 - What is the height of a water barometer at...Ch. 13 - A cargo barge is loaded in a saltwater harbor for...Ch. 13 - Prob. 22P Ch. 13 - A 10 cm 10 cm 10 cm wood block with a density of...Ch. 13 - What is the tension in the string in Figure...Ch. 13 - What is the tension in the string in Figure...Ch. 13 - To determine an athletes body fat, she is weighed...Ch. 13 - Prob. 28P Ch. 13 - Styrofoam has a density of 32 kg/m3. What is the...Ch. 13 - Prob. 30P Ch. 13 - Calculate the buoyant force due to the surrounding...Ch. 13 - Prob. 32P Ch. 13 - Water flowing through a 2.0-cm-diameter pipe can...Ch. 13 - Prob. 34P Ch. 13 - Prob. 35P Ch. 13 - Prob. 37P Ch. 13 - Prob. 39P Ch. 13 - Prob. 40P Ch. 13 - What pressure difference is required between the...Ch. 13 - Prob. 42P Ch. 13 - Water flows at 0.25 L/s through a 10-m-long garden...Ch. 13 - Prob. 44P Ch. 13 - Prob. 45P Ch. 13 - Prob. 47P Ch. 13 - Prob. 48P Ch. 13 - Prob. 49P Ch. 13 - Prob. 50P Ch. 13 - As discussed in Section 13.3, a persons percentage...Ch. 13 - The density of aluminum is 2700 kg/m3. How many...Ch. 13 - An oil layer floats on 85 cm of water in a tank....Ch. 13 - Prob. 55GP Ch. 13 - Prob. 56GP Ch. 13 - A sphere completely submerged in water is tethered...Ch. 13 - Prob. 58GP Ch. 13 - A 5.0 kg rock whose density is 4800 kg/m3 is...Ch. 13 - A flat slab of styrofoam, with a density of 32...Ch. 13 - A 2.0 mL syringe has an inner diameter of 6.0 mm,...Ch. 13 - Prob. 62GP Ch. 13 - The leaves of a tree lose water to the atmosphere...Ch. 13 - II A hurricane wind blows across a 6.00 m 5.0 m...Ch. 13 - Prob. 65GP Ch. 13 - Prob. 66GP Ch. 13 - Prob. 67GP Ch. 13 - Prob. 68GP Ch. 13 - Prob. 69GP Ch. 13 - Smoking tobacco is bad for your circulatory...Ch. 13 - A stiff, 10-cm-long tube with an inner diameter of...Ch. 13 - Suppose that in response to some stimulus a small...Ch. 13 - Prob. 73MSPP Ch. 13 - Prob. 75MSPP

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