College Physics
OER 2016 Edition
ISBN: 9781947172173
Author: OpenStax
Publisher: OpenStax College
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Textbook Question
Chapter 12, Problem 52PE
Show that the Reynolds number NRis unitless by substituting units for all the quantities in its definition and cancelling.
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Show that the Reynolds number NR is unitless bysubstituting units for all the quantities in its definition andcancelling.
The gage pressure of air in a pressurized water tank is measured simultaneously by both a pressure
gage and a manometer. The differential height h of the mercury column is to be determined.
Assumptions The air pressure in the tank is uniform (i.e., its variation with elevation is negligible due
to its low density), and thus the pressure at the air-water interface is the same as the indicated gage
pressure.
90 kPa
SG= 0.72
75 cm
Air
Water
30 cm
Mercury
SG= 13.6
Consider the Venturi meter, discussed in the sample problems, containing water without the manometer tube underneath. Let A = 4.75a. Suppose that the pressure at point 1 is 2.12 atmosphere.
(a) Compute the values of v at point 1 and at point 2 that would make the pressure at point 2 equal to zero.
(b) How much water in m3 flows into the tube per minute (the volume flow rate in minutes) if the diameter at point 1 is 5.20 cm. The phenomenon at point 2 when the pressure falls to nearly zero is known as cavitation. The water vaporizes into small bubbles.
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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