Applied Fluid Mechanics (7th Edition)
7th Edition
ISBN: 9780132558921
Author: Robert L. Mott, Joseph A. Untener
Publisher: PEARSON
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Chapter 1, Problem 1.60PP
For the conditions described in Problem 1.59 assume that the
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QV: a hydraulic press is used to compact powdered samples. The device is made of two interconnected cylindrical chambers filled with oil if density psubscripto anc closed by two pistons. The small chamber on the right has diameter d and the large chamber on the left has diameter 5d. A lever is attached to the piston pushing down on the fluid in the small cylinder. The horizontal lever is hinged on the left, at distance L from the small piston, and a force of magnitude Fsubscript0 is applied vertically down at distance 2L from the hinge (Fig.5). You may assume that the lever and pistons have negligible mass.
a. Determine the magnitude of the force Fin that the small piston exerts on the fluid in the small cylinder. Hint: you may consider that the lever is at rest in the horizontal position.
b. Determine the pressure change applied to the fluid by the small piston.
c. Determine the magnitude Fout of the force that the fluid applies to the large piston.
Chapter 1 Solutions
Applied Fluid Mechanics (7th Edition)
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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- 4. Assuming standard condition, what is the altitude in ft where the density is 0.001845 slug/ft3?arrow_forwardQ1:- A 25 mm diameter cylinder and 300 mm long, because of its own gravity force at a uniform rate of 0.1 m/s inside a 25.1 mm tube diameter. Ăn oil film between the cylinder and the tube , its viscosity 0.3 Pa.s. Find the relative density of the cylinder? Q2:- Calculate the pressure difference between points A and B as shown in figure. The relative density for benzene,mercury,and kerosene are 0.88,13.6,and 0.82 respectively. Kerosene Air Benzene B 39 cm A *..... 19 cm 13 cm 7 cm Water Mercuryarrow_forward4) The diameters of the pistons shown in Fig. below are D1=3 in and D2= 1.5 in. Determine the pressure in chamber 3, in psia, when the other pressures are P1 = 150 psia and P2 = 250 psia.arrow_forward
- 5. A tank contains two substance oil (A) and water (B) subject to variable air pressure; the dimension is shown below and corresponds to 1atm. If air is slowly added from a pump to bring pressure p up to 1MPA gage, what will be the total downward movement of the free surface of oil and air? Take average values of bulk moduli of elasticity of the liquids as 2050MPA for oil and 2075MPA for water. Assume the container does not change volume. Neglect hydrostatic pressures. Air 200 mm 600mm Oil- Water 700 mm 300 mmarrow_forwardIf a weight of 200 N acts on a surface of the piston with a diameter of 5m, calculate the pressure present inside the cylinder in Pascal unit. How much force in newton must be applied to create a pressure of 200,000 Pa inside the pneumatic cylinder, if the piston has of diameter of 56 mm?arrow_forwardPROBLEM SET 3 1. The specific weight of water at ordinary pressure and temperature is 62.4 lb/ft3 (9.81 kN/m3). The specific gravity of mercury is 13.55. Compute the density of water and the specific weight and density of mercury. 2. A 40-lb, 0.8-ft-diameter, I-ft-tall cylindrical tank slides slowly down a ramp with a constant speed of 0.1 ft/s as shown in Fig. P1.2. The uniform-thickness oil layer on the ramp has a viscosity of 0.2 lb. s/ft2. Determine the angle, 8 of the ramp. Ans. 7.22° 0.002 ft 0.1 ft/s Oil Figure P1.2: Cylindrical tank on the ramp 3. A piston having a diameter of 5.48 in. and a length of 9.50 in. slides downward with a velocity V through a vertical pipe. The downward motion is resisted by an oil film between the piston and the pipe wall. The film thickness is 0.002 in., and the cylinder weighs 0.5 lb. Estimate V if the oil viscosity is 0.016 lb-s/ft². Assume the velocity distribution in the gap is linear. Ans. 0.00459 ft/s 4. A tire having a volume of 3 ft³…arrow_forward
- hydraulic press has a diameter ratio between the two pistons of 8:1. The diameter of the larger piston is 600 mm and it is required to support a mass of 3500 kg. The press is filled with a hydraulic fluid of specific gravity 0,8. Calculate the force required on the smaller piston in N to provide the required force; (a) when the two pistons are level, (b) when the smaller piston is 2.6 m below the larger piston.arrow_forwardThe specific gravity of the 200ft^3 oil that weighs 10 520 lb isarrow_forwardPlease give a detailed handwritten solution. Use the correct formula. Don't use chatgpt.arrow_forward
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