Explanation Draw the schematic diagram of the cistern manometer as shown in figure (1). Manometer rule assumption: Adding the pressure while going downwards and subtracting the pressure while going upwards. Write the relationship between the diameter of the tube and cistern. D = 4 d d D = 1 4 Refer figure (1) and apply the manometer rule to the system. P B = P A − γ ( h T + h c ) (I) Here, change in pressure at point A and B are P A and P B , specific weight of the fluid is γ , change in height of the cistern is Δ h c , change in height of the tube is Δ h T . Apply the conservation of mass principle. h c A C = l A T h c = l ( A T A c ) h c = l ( d D ) 2 (II) Here, length of the tube is l , area of the cistern is A c , and area of the tube is A T . Calculate the change in height of the oil in the tube. h T = l sin θ (III) Here angle between the surface of the liquid and the tube is θ . Conclusion: Substitute 20 in. for l and ¼ for ( d / D ) in equation (II). h c = 20 in . × ( 1 4 ) 2 = 1

Munson, Young and Okiishi's Fundamentals of Fluid Mechanics, Binder Ready Version

8th Edition

ISBN: 9781119080701

Author: Philip M. Gerhart, Andrew L. Gerhart, John I. Hochstein

Publisher: WILEY

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Chapter 2.6, Problem 59P

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The drop in fluid level and the pressure difference (PA−PB).

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Chapter 2.6, Problem 58P

Chapter 2.6, Problem 60P

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Chapter 2 Solutions

Munson, Young and Okiishi's Fundamentals of Fluid Mechanics, Binder Ready Version

Ch. 2.3 - Prob. 1P Ch. 2.3 - The deepest known spot in the oceans is the...Ch. 2.3 - A closed tank is partially filled with glycerin....Ch. 2.3 - A 3-m-diameter vertical cylindrical tank is filled...Ch. 2.3 - Blood pressure is usually given as a ratio of the...Ch. 2.3 - An unknown immiscible liquid seeps into the bottom...Ch. 2.3 - A 30-ft-high downspout of a house is clogged at...Ch. 2.3 - How high a column of SAE 30 oil would be required...Ch. 2.3 - Bathyscaphes are capable of submerging to great...Ch. 2.3 - The deepest known spot in the oceans is the...

Ch. 2.3 - A submarine submerges by admitting seawater (S =...Ch. 2.3 - Determine the pressure at the bottom of an open...Ch. 2.3 - In a certain liquid at rest, measurements of the...Ch. 2.3 - Because of elevation differences, the water...Ch. 2.3 - Under normal conditions the temperature of the...Ch. 2.3 - Often young children drink milk (ρ = 1030 kg/m3)...Ch. 2.3 - (See The Wide World of Fluids article titled...Ch. 2.4 - What would be the barometric pressure reading, in...Ch. 2.4 - Denver, Colorado, is called the “mile-high city”...Ch. 2.4 - Prob. 20P Ch. 2.4 - Pikes Peak near Denver, Colorado, has an elevation...Ch. 2.4 - Equation 2.12 provides the relationship between...Ch. 2.4 - As shown in Fig. 2.6 for the U.S. standard...Ch. 2.4 - (See The Wide World of Fluids article titled...Ch. 2.5 - On a given day, a barometer at the base of the...Ch. 2.5 - Aneroid barometers can be used to measure changes...Ch. 2.5 - Bourdon gages (see Video V2.4 and Fig. 2.13) are...Ch. 2.5 - On the suction side of a pump, a Bourdon pressure...Ch. 2.5 - A Bourdon pressure gage attached to the outside of...Ch. 2.6 - Obtain a photograph/image of a situation in which...Ch. 2.6 - A U-tube manometer is used to check the pressure...Ch. 2.6 - A barometric pressure of 29.4 in. Hg corresponds...Ch. 2.6 - For an atmospheric pressure of 101 kPa (abs)...Ch. 2.6 - The closed tank of Fig. P.2.34 is filled with...Ch. 2.6 - A mercury manometer is connected to a large...Ch. 2.6 - The U-tube manometer shown in Fig. P2.36 has two...Ch. 2.6 - A U-tube manometer is connected to a closed tank...Ch. 2.6 - The container shown in Fig. P2.38 holds 60 °F...Ch. 2.6 - A closed cylindrical tank filled with water has a...Ch. 2.6 - Two pipes are connected by a manometer as shown in...Ch. 2.6 - Find the percentage difference in the readings of...Ch. 2.6 - A U-tube manometer is connected to a closed tank...Ch. 2.6 - For the inclined-tube manometer of Fig. P2.43, the...Ch. 2.6 - A flowrate measuring device is installed in a...Ch. 2.6 - The sensitivity Sen of the micromanometer shown in...Ch. 2.6 - The cylindrical tank with hemispherical ends shown...Ch. 2.6 - Determine the elevation difference. Δh, between...Ch. 2.6 - What is the specific gravity of the liquid in the...Ch. 2.6 - For the configuration shown in Fig. P2.49 what...Ch. 2.6 - The manometer shown in Fig. P2.50 has an air...Ch. 2.6 - The U-tube manometer shown in Fig. P2.51 has legs...Ch. 2.6 - Both ends of the U-tube mercury manometer of Fig....Ch. 2.6 - The inverted U-tube manometer of Fig. P2.53...Ch. 2.6 - An inverted U-tube manometer containing oil (SG =...Ch. 2.6 - The sensitivity Sen of the manometer shown in Fig....Ch. 2.6 - In Fig. P2.56 pipe A contains gasoline (SG = 0.7),...Ch. 2.6 - The mercury manometer of Fig. P2.57 indicates a...Ch. 2.6 - Consider the cistern manometer shown in Fig....Ch. 2.6 - Prob. 59P Ch. 2.6 - Prob. 60P Ch. 2.6 - Determine the new differential reading along the...Ch. 2.6 - Prob. 62P Ch. 2.6 - Determine the ratio of areas, A1/A2, of the two...Ch. 2.6 - Prob. 64P Ch. 2.6 - Prob. 65P Ch. 2.6 - An inverted hollow cylinder is pushed into the...Ch. 2.8 - Obtain a photograph/image of a situation in which...Ch. 2.8 - The basic elements of a hydraulic press are shown...Ch. 2.8 - The hydraulic cylinder shown in Fig. P2.69, with a...Ch. 2.8 - A Bourdon gage (see Fig. 2.13 and Video V2.4) is...Ch. 2.8 - A bottle jack allows an average person to lift one...Ch. 2.8 - Suction is often used in manufacturing processes...Ch. 2.8 - A piston having a cross-sectional area of 0.07 m2...Ch. 2.8 - Prob. 74P Ch. 2.8 - The container shown in Fig. P2.75 has square cross...Ch. 2.8 - Find the weight W needed to hold the wall shown in...Ch. 2.8 - Determine the magnitude and direction of the force...Ch. 2.8 - An automobile has just dropped into a river. The...Ch. 2.8 - Consider the gate shown in Fig. P2.79. The gate is...Ch. 2.8 - Will the gate in Problem 44 ever open? Ch. 2.8 - A tank contains 6 in. of oil (S = 0.82) above 6...Ch. 2.8 - A structure is attached to the ocean floor as...Ch. 2.8 - Concrete is poured into the forms as shown in Fig....Ch. 2.8 - A long, vertical wall separates seawater from...Ch. 2.8 - Forms used to make a concrete basement wall are...Ch. 2.8 - While building a high, tapered concrete wall,...Ch. 2.8 - A homogeneous, 4-ft-wide, 8-ft-long rectangular...Ch. 2.8 - A gate having the shape shown in Fig. P2.88 is...Ch. 2.8 - A pump supplies water under pressure to a large...Ch. 2.8 - Prob. 90P Ch. 2.8 - Prob. 91P Ch. 2.8 - The dam shown in Fig. P2.92 is 200 ft long and is...Ch. 2.8 - Prob. 93P Ch. 2.8 - Figure P2.94 is a representation of the Keswick...Ch. 2.8 - The Keswick dam in Problem 2.94 is made of...Ch. 2.8 - The Keswick dam in Problem 2.94 is made of...Ch. 2.8 - Prob. 97P Ch. 2.8 - Prob. 98P Ch. 2.8 - Find the magnitude and location of the net...Ch. 2.8 - Prob. 100P Ch. 2.8 - Find the total vertical force on the cylinder...Ch. 2.8 - A 3-m-wide, 8-m-high rectangular gate is located...Ch. 2.8 - A gate having the cross section shown in Fig....Ch. 2.8 - The massless, 4-ft-wide gate shown in Fig. P2.104...Ch. 2.8 - A 200-lb homogeneous gate 10 ft wide and 5 ft long...Ch. 2.8 - An open tank has a vertical partition and on one...Ch. 2.8 - Prob. 107P Ch. 2.8 - A 4-ft by 3-ft massless rectangular gate is used...Ch. 2.8 - A thin 4-ft-wide, right-angle gate with negligible...Ch. 2.8 - The closed vessel of Fig. P2.110 contains water...Ch. 2.8 - (See The Wide World of Fluids article titled “The...Ch. 2.10 - Obtain a photograph/image of a situation in which...Ch. 2.10 - Prob. 113P Ch. 2.10 - Prob. 114P Ch. 2.10 - Figure P2.115 shows a cross section of a submersed...Ch. 2.10 - The container shown in Fig. P2.116 has circular...Ch. 2.10 - The 18-ft-long lightweight gate of Fig. P2.117 is...Ch. 2.10 - The air pressure in the top of the 2-liter pop...Ch. 2.10 - In drilling for oil in the Gulf of Mexico, some...Ch. 2.10 - Hoover Dam (see Video 2.5) is the highest...Ch. 2.10 - A plug in the bottom of a pressurized tank is...Ch. 2.10 - The homogeneous gate shown in Fig. P2.122...Ch. 2.10 - The concrete (specific weight = 150 lb/ft3)...Ch. 2.10 - Prob. 124P Ch. 2.10 - Find the magnitude, direction, and location of the...Ch. 2.10 - A 10-m-long log is stuck against a dam, as shown...Ch. 2.10 - Prob. 127P Ch. 2.10 - Prob. 128P Ch. 2.10 - Prob. 129P Ch. 2.10 - Prob. 130P Ch. 2.10 - Prob. 131P Ch. 2.11 - Prob. 132P Ch. 2.11 - An iceberg (specific gravity 0.917) floats in the...Ch. 2.11 - Prob. 134P Ch. 2.11 - Prob. 135P Ch. 2.11 - Prob. 136P Ch. 2.11 - Prob. 137P Ch. 2.11 - Prob. 138P Ch. 2.11 - Estimate the minimum water depth needed to float a...Ch. 2.11 - Prob. 140P Ch. 2.11 - Prob. 141P Ch. 2.11 - Prob. 142P Ch. 2.11 - Prob. 143P Ch. 2.11 - A solid cylindrical pine (S = 0.50) spar buoy has...Ch. 2.11 - Prob. 145P Ch. 2.11 - Prob. 146P Ch. 2.11 - Prob. 147P Ch. 2.11 - A submarine is modeled as a cylinder with a length...Ch. 2.12 - Prob. 149P Ch. 2.12 - Prob. 150P Ch. 2.12 - Prob. 151P Ch. 2.12 - Prob. 152P Ch. 2.12 - Prob. 153P Ch. 2.12 - The cylinder in Fig. P2.154 accelerates to the...Ch. 2.12 - A closed cylindrical tank that is 8 ft in diameter...Ch. 2.12 - The cart shown in Fig. P2.156 measures 10.0 cm...Ch. 2.12 - The U-tube manometer in Fig. P2.157 is used to...Ch. 2.12 - Prob. 158P Ch. 2.12 - An open 1-m-diameter tank contains water at a...Ch. 2.12 - Prob. 160P Ch. 2.12 - Prob. 161P Ch. 2.12 - Prob. 162P Ch. 2.12 - Prob. 163P

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The drop in fluid level and the pressure difference ( P A − P B ) .

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Chapter 2 Solutions