Applied Fluid Mechanics
7th Edition
ISBN: 9780133414622
Author: UNTENER
Publisher: YUZU
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Chapter 1, Problem 1.6PP
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For some viscoelastic polymers that are subjected to stress relaxation tests, the stress decays with
time according to
a(t) = a(0) exp(-4)
(15.10)
where σ(t) and o(0) represent the time-dependent and initial (i.e., time = 0) stresses, respectively, and t and T denote
elapsed time and the relaxation time, respectively; T is a time-independent constant characteristic of the material. A
specimen of a viscoelastic polymer whose stress relaxation obeys Equation 15.10 was suddenly pulled in tension to
a measured strain of 0.5; the stress necessary to maintain this constant strain was measured as a function of time.
Determine E (10) for this material if the initial stress level was 3.5 MPa (500 psi), which dropped to 0.5 MPa (70
psi) after 30 s.
For the flows in Examples 11.1 and 11.2, calculate the magnitudes of the Δ V2 / 2 terms omitted in B.E., and compare these with the magnitude of the ℱ terms.
Calculate ℛP.M. in Example 11.2.
Chapter 1 Solutions
Applied Fluid Mechanics
Ch. 1 - 1.1 Convert 1250 millimeters to meters.Ch. 1 - Convert 1600 square millimeters to square metersCh. 1 - Convert 3.65x103 cubic millimeters to cubic metersCh. 1 - Convert 2.05 square meters to square millimetersCh. 1 - Convert 0.391 cubic meters to cubic millimetersCh. 1 - Convert 55.0 gallons to cubic metersCh. 1 - An automobile is moving at 80 kilometers per hour,...Ch. 1 - Convert a length of 25.3 feet to metersCh. 1 - Convert a distance of 1.36 miles to meters.Ch. 1 - Convert a length of 3.65 inches to millimeters.
Ch. 1 - Convert a distance of 2580 feet to meters.Ch. 1 - Convert a volume of 480 cubic feet to cubic...Ch. 1 - Convert a volume of 7390 cubic centimeters to...Ch. 1 - Convert a volume of 6.35 liters to cubic nneters.Ch. 1 - Convert 6.0 feet per second to meters per secondCh. 1 - Convert 2500 cubic feet per minute to cubic meters...Ch. 1 - A car travels 0.50 km in 10.6 s. Calculate its...Ch. 1 - In an attempt at a land speed record, a car...Ch. 1 - A car travels 1000 ft in 14 s. Calculate its...Ch. 1 - In an attempt at a land speed record, a car...Ch. 1 - A body starting from rest with constant...Ch. 1 - A body starting from rest with constant...Ch. 1 - A body starting from rest with constant...Ch. 1 - A body starting from rest with constant...Ch. 1 - The formula for kinetic energy is KE=mv2, where m...Ch. 1 - The formula for kinetic energy is KE=12mv2, where...Ch. 1 - The formula for kinetic energy is KE=12mv2, where...Ch. 1 - The formula for kinetic energy is KE=12mv2, where...Ch. 1 - The formula for kinetic energy is KE=12mv2, where...Ch. 1 - The formula for kinetic energy is KE=12mv2 where m...Ch. 1 - The formula for kinetic energy is KE=12mv2, where...Ch. 1 - The formula for kinetic energy is KE=12mv2, where...Ch. 1 - The formula for kinetic energy is KE=12mv2, where...Ch. 1 - The formula for kinetic energy is KE=12mv2, where...Ch. 1 - The formula for kinetic energy is KE=12mv2, where...Ch. 1 - The formula for kinetic energy is where m = mass...Ch. 1 - The formula for kinetic energy is KE=12mv2, where...Ch. 1 - The formula for kinetic energy is KE=12mv2, where...Ch. 1 - One measure of a baseball pitcher's performance is...Ch. 1 - One measure of a baseball pitcher's performance is...Ch. 1 - One measure of a baseball pitcher's performance is...Ch. 1 - One measure of a baseball pitcher's performance is...Ch. 1 - One measure of a baseball pitcher's performance is...Ch. 1 - One measure of a baseball pitcher's performance is...Ch. 1 - One measure of a baseball pitcher's performance is...Ch. 1 - One measure of a baseball pitcher's performance is...Ch. 1 - One measure of a baseball pitcher's performance is...Ch. 1 - One measure of a baseball pitcher's performance is...Ch. 1 - One measure of a baseball pitcher's performance is...Ch. 1 - One measure of a baseball pitcher's performance is...Ch. 1 - One measure of a baseball pitcher's performance is...Ch. 1 - One measure of a baseball pitcher's performance is...Ch. 1 - One measure of a baseball pitcher's performance is...Ch. 1 - One measure of a baseball pitcher's performance is...Ch. 1 - One measure of a baseball pitcher's performance is...Ch. 1 - One measure of a baseball pitcher's performance is...Ch. 1 - Compute the pressure change required to cause a...Ch. 1 - Compute the pressure change required to cause a...Ch. 1 - Compute the pressure change required to cause a...Ch. 1 - For the conditions described in Problem 1.59...Ch. 1 - A certain hydraulic system operates at 3000 psi....Ch. 1 - A certain hydraulic system operates at 20.0 MPa....Ch. 1 - A measure of the stiffness of a linear actuator...Ch. 1 - 1.64 Repeat Problem 1.63 but change the length of...Ch. 1 - Repeat Problem 1.6319 but change the cylinder...Ch. 1 - Using the results of Problems 1.63-1.65, generate...Ch. 1 - Calculate the mass of a can of oil if it weighs...Ch. 1 - Calculate the mass of a tank of gasoline if it...Ch. 1 - '1.69 Calculate the weight of 1m3 of kerosene if...Ch. 1 - Calculate the weight of a jar of castor oil if it...Ch. 1 - Calculate the mass of 1 gal of oil if it weighs...Ch. 1 - Calculate the mass of 1ft3 of gasoline if it...Ch. 1 - Calculate the weight of 1ft3 of kerosene if it has...Ch. 1 - Calculate the weight of 1 gal of water if it has a...Ch. 1 - Assume that a man weighs 160 lb (force) Compute...Ch. 1 - In the United States, hamburger and other meats...Ch. 1 - The metric ton is 1000 kg (mass). Compute the...Ch. 1 - Convert the force found in Problem 1.77 to lb.Ch. 1 - Determine your weight in lb and N and your mass in...Ch. 1 - The specific gravity of benzene is 0.876....Ch. 1 - Air at 16 C and standard atmospheric pressure has...Ch. 1 - Carbon dioxide has a density of 1.964kg/m3 at 0 C....Ch. 1 - A certain medium lubricating oil has a specific...Ch. 1 - At 100 C mercury has a specific weight of...Ch. 1 - A cylindrical can 150 mm in diameter is filled to...Ch. 1 - Glycerin has a specific gravity of 1.258. How much...Ch. 1 - The fuel tank of an automobile holds 0.095m3. If...Ch. 1 - The density of muriatic acid is 1200 kg / m3...Ch. 1 - Liquid ammonia has a specific gravity of 0.826....Ch. 1 - Vinegar has a density of 1080 kg / m3 Calculate...Ch. 1 - Methyl alcohol has a specific gravity of 0.789....Ch. 1 - A cylindrical container is 150 mm in diameter and...Ch. 1 - A storage vessel for gasoline ( sg=0.68 ) is a...Ch. 1 - What volume of mercury (sg = 13.54) would weigh...Ch. 1 - A rock has a specific gravity of 2.32 and a volume...Ch. 1 - The specific gravity of benzene is 0.876....Ch. 1 - Air at 59 F and standard atmospheric pressure has...Ch. 1 - Carbon dioxide has a density of 0.003 81 slug/ft3...Ch. 1 - A certain medium lubricating oil has a specific...Ch. 1 - At 212F mercury has a specific weight of 834...Ch. 1 - One gallon of a certain fuel oil weighs 7.50 lb....Ch. 1 - Glycerin has a specific gravity of 1.258. How much...Ch. 1 - The fuel tank of an automobile holds 25.0 gal. If...Ch. 1 - The density of muriatic acid is 1.20 g/cm3....Ch. 1 - Liquid ammonia has a specific gravity of 0.826....Ch. 1 - Vinegar has a density of 1.08 g/cm3. Calculate its...Ch. 1 - Alcohol has a specific gravity of 0.79. Calculate...Ch. 1 - A cylindrical container has a 6.0-in diameter and...Ch. 1 - A storage vessel for gasoline (sg = 0.68) is a...Ch. 1 - How many gallons of mercury (sg = 13.54) would...Ch. 1 - A rock has a specific gravity of 2.32 and a volume...Ch. 1 - A village of 75 people desires a tank to store a...Ch. 1 - A cylindrical tank has a diameter of 38 in with...Ch. 1 - What is the required rate, in N/min, to empty a...Ch. 1 - An empty tank measuring 1.5 m by 2.5 m on the...Ch. 1 - A tank that is 2 ft in diameter and 18 in tall is...Ch. 1 - A standard pump design can be upgraded to higher...Ch. 1 - What is the annual cost to run a 2 HP system if it...Ch. 1 - Determine the displacement, in liters, for one...Ch. 1 - Determine the flow rate, in m3/hr, for another...Ch. 1 - At what speed, in rpm, does a single cylinder pump...Ch. 1 - Prob. 2CAEA
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