To determine The amount force and direction of force is applied to the bottom of gate. Explanation Draw the free body diagram of the gate as show in figure (1). Write the expression for the cross sectional area of the gate. A = b h (I) Here, width of the gate is b and height of the gate is h . Write the expression for the force acting on the gate. F P = ρ g A h ¯ (II) Here, density of the fluid is ρ , specific gravity is g , cross sectional area of the gate is A , and vertical distance from the fluid surface to the centroidal is h ¯ . Write the expression for the center of pressure using the figure (1). C P = h ¯ + I A h C P = h ¯ + ( b d 3 12 ) A h (III) Here, moment of inertia about the centroid is I . Apply the principle of equilibrium moment along the hinged point O . F P × ( C P − ( 2.1 m − 0.8 m ) ) − F × 0.8 = 0 F P × ( C P − 1.3 ) = 0.8 F F = F P × ( C P − 1.3 ) 0.8 (IV) Conclusion: Substitute 2 m for b and 0

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 2.8, Problem 77P

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The amount force and direction of force is applied to the bottom of gate.

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Chapter 2.8, Problem 76P

Chapter 2.8, Problem 78P

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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