Explanation Given information: ρ w is density of water = 1000 kg/m 3 A is area of gate = π r 2 2 = π 3 2 2 = 14.137 m 2 g is acceleration due to gravity = 9 .81 m/s 2 X ¯ is Centroidal height of gate from free surface = h 1 + h 2 2 = 5 + 8 2 = 6.5 m h 1 i s t h e h e i g h t of the top surface of gate = 5 m h 2 i s t h e h e i g h t of the top surface of gate = 8 m We will calculate the force due to water, then we will equate the moment about B. Force due to water will act at the center of pressure, therefore D e p t h of centre of Pressure ( h ¯ ) = I g Sin 2 θ A X ¯ + X ¯ W h e r e I g is area moment of inertia = I X X − A X 2 = 8.88 m 4 h ¯ = 8.88 * Sin 2 90 14

8th Edition

ISBN: 9780073398273

Author: Frank M. White

Publisher: McGraw-Hill Education

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Chapter 2, Problem 2.65P

To determine

The force P for the equilibrium condition.

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Chapter 2, Problem 2.64P

Chapter 2, Problem 2.66P

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Chapter 2 Solutions

Fluid Mechanics

Ch. 2 - Prob. 2.1P Ch. 2 - For the two-dimensional stress field shown in Fig....Ch. 2 - A vertical, clean, glass piezometer tube has an...Ch. 2 - P2.4 Pressure gages, such as the bourdon gage in...Ch. 2 - Quito, Ecuador, has an average altitude of 9350...Ch. 2 - Prob. 2.6P Ch. 2 - La Paz, Bolivia, is at an altitude of...Ch. 2 - P2.8 Suppose, which is possible, that there is a...Ch. 2 - A storage tank, 26 ft in diameter and 36 ft high,...Ch. 2 - P2.10 A large open tank is open to sea-level...

Ch. 2 - Prob. 2.11P Ch. 2 - Prob. 2.12P Ch. 2 - Prob. 2.13P Ch. 2 - Prob. 2.14P Ch. 2 - Prob. 2.15P Ch. 2 - Prob. 2.16P Ch. 2 - Prob. 2.17P Ch. 2 - The system in Fig. P2.18 is at 20°C. If...Ch. 2 - Prob. 2.19P Ch. 2 - The hydraulic jack in Fig. P2.20 is filled with...Ch. 2 - At 20°C gage A reads 350 kPa absolute. What is the...Ch. 2 - The fuel gage for a gasoline tank in a car reads...Ch. 2 - Prob. 2.23P Ch. 2 - Prob. 2.24P Ch. 2 - Prob. 2.25P Ch. 2 - Prob. 2.26P Ch. 2 - P2.27 Conduct an experiment to illustrate...Ch. 2 - Prob. 2.28P Ch. 2 - Prob. 2.29P Ch. 2 - Prob. 2.30P Ch. 2 - In Fig. P2.31 all fluids arc at 20°C. Determine...Ch. 2 - For the inverted manometer of Fig. P2.32, all...Ch. 2 - Prob. 2.33P Ch. 2 - Prob. 2.34P Ch. 2 - Water flows upward in a pipe slanted at 30°, as in...Ch. 2 - Prob. 2.36P Ch. 2 - Prob. 2.37P Ch. 2 - If the pressure in container A in Fig. P2.38 is...Ch. 2 - Prob. 2.39P Ch. 2 - Prob. 2.40P Ch. 2 - P2.41 The system in Fig. P2.41 is at 20°C....Ch. 2 - Prob. 2.42P Ch. 2 - Prob. 2.43P Ch. 2 - Prob. 2.44P Ch. 2 - Prob. 2.45P Ch. 2 - In Fig. P2.46 both ends of the manometer are open...Ch. 2 - Prob. 2.47P Ch. 2 - The system in Fig. P2.4H is open to 1 atm on the...Ch. 2 - Prob. 2.49P Ch. 2 - Prob. 2.50P Ch. 2 - Gate AB in Fig. P2.51 is 1.2 m long and 0.8 m into...Ch. 2 - Example 2.5 calculated the force on plate AB and...Ch. 2 - Prob. 2.53P Ch. 2 - Prob. 2.54P Ch. 2 - Gate AB in Fig. P2.55 is 5 ft wide into the paper,...Ch. 2 - Prob. 2.56P Ch. 2 - Prob. 2.57P Ch. 2 - Prob. 2.58P Ch. 2 - Gate AB has length L and width b into the paper,...Ch. 2 - Prob. 2.60P Ch. 2 - Gale AB in Fig. P2.61 is homogeneous mass of 180...Ch. 2 - Gale AB in Fig. P2.62 is 15 ft long and 8 ft wide...Ch. 2 - The tank in Fig. P2.63 has a 4-cm-diameter plug at...Ch. 2 - Prob. 2.64P Ch. 2 - Prob. 2.65P Ch. 2 - Prob. 2.66P Ch. 2 - Prob. 2.67P Ch. 2 - P2.68 Isosceles triangle gate AB in Fig. P2.68 is...Ch. 2 - P2.69 Consider the slanted plate AB of length L in...Ch. 2 - Prob. 2.70P Ch. 2 - Prob. 2.71P Ch. 2 - Prob. 2.72P Ch. 2 - P2.73 Gate AB is 5 ft wide into the paper and...Ch. 2 - Prob. 2.74P Ch. 2 - Prob. 2.75P Ch. 2 - Prob. 2.76P Ch. 2 - P2.77 The circular gate ABC in Fig. P2.77 has l-m...Ch. 2 - Prob. 2.78P Ch. 2 - Prob. 2.79P Ch. 2 - Prob. 2.80P Ch. 2 - Prob. 2.81P Ch. 2 - Prob. 2.82P Ch. 2 - Prob. 2.83P Ch. 2 - Prob. 2.84P Ch. 2 - P2.85 Compute the horizontal and vertical...Ch. 2 - Prob. 2.86P Ch. 2 - The bottle of champagne (SG = 0.96) in Fig. P2.87...Ch. 2 - Prob. 2.88P Ch. 2 - Prob. 2.89P Ch. 2 - The lank in Fig. P2.90 is 120 cm long into the...Ch. 2 - The hemispherical dome in Fig. P2.91 weighs 30 kN...Ch. 2 - A 4-m-diameter water lank consists of two half...Ch. 2 - Prob. 2.93P Ch. 2 - Prob. 2.94P Ch. 2 - Prob. 2.95P Ch. 2 - Prob. 2.96P Ch. 2 - Prob. 2.97P Ch. 2 - Prob. 2.98P Ch. 2 - The mega-magnum cylinder in Fig. P2.99 has a...Ch. 2 - Pressurized water fills the tank in Fig, P2.100....Ch. 2 - Prob. 2.101P Ch. 2 - Prob. 2.102P Ch. 2 - Prob. 2.103P Ch. 2 - Prob. 2.104P Ch. 2 - P2.105 it is said that Archimedes discovered the...Ch. 2 - Prob. 2.106P Ch. 2 - Prob. 2.107P Ch. 2 - P2.108 A 7-cm-diameter solid aluminum ball (SG =...Ch. 2 - Prob. 2.109P Ch. 2 - Prob. 2.110P Ch. 2 - P2.111 A solid wooden cone (SG = 0.729) floats in...Ch. 2 - The uniform 5-m-long round wooden rod in Fig....Ch. 2 - Prob. 2.113P Ch. 2 - Prob. 2.114P Ch. 2 - P2.115 The 2-in by 2-in by 12-ft spar buoy from...Ch. 2 - Prob. 2.116P Ch. 2 - The solid sphere in Fig. P2.117 is iron ( SG7.9 )....Ch. 2 - Prob. 2.118P Ch. 2 - Prob. 2.119P Ch. 2 - Prob. 2.120P Ch. 2 - Prob. 2.121P Ch. 2 - Prob. 2.122P Ch. 2 - Prob. 2.123P Ch. 2 - Prob. 2.124P Ch. 2 - Prob. 2.125P Ch. 2 - Prob. 2.126P Ch. 2 - Prob. 2.127P Ch. 2 - Prob. 2.128P Ch. 2 - Prob. 2.129P Ch. 2 - Prob. 2.130P Ch. 2 - Prob. 2.131P Ch. 2 - Prob. 2.132P Ch. 2 - Prob. 2.133P Ch. 2 - Prob. 2.134P Ch. 2 - P2.135 Consider a homogeneous right circular...Ch. 2 - Prob. 2.136P Ch. 2 - Prob. 2.137P Ch. 2 - Prob. 2.138P Ch. 2 - P2.139 The tank of liquid in Kg. P2.139...Ch. 2 - P2.140 The U-tube in Fig, P2.140 is moving to the...Ch. 2 - The same tank from Prob. P2.139 is now moving with...Ch. 2 - Prob. 2.142P Ch. 2 - Prob. 2.143P Ch. 2 - Prob. 2.144P Ch. 2 - A fish tank 14 in deep by 16 by 27 in is to be...Ch. 2 - Prob. 2.146P Ch. 2 - Prob. 2.147P Ch. 2 - Prob. 2.148P Ch. 2 - Prob. 2.149P Ch. 2 - Prob. 2.150P Ch. 2 - Prob. 2.151P Ch. 2 - P2.152 A 16-cm-diamctcr open cylinder 27 cm high...Ch. 2 - Prob. 2.153P Ch. 2 - Prob. 2.154P Ch. 2 - Prob. 2.155P Ch. 2 - Prob. 2.156P Ch. 2 - Prob. 2.157P Ch. 2 - Prob. 2.158P Ch. 2 - Prob. 2.159P Ch. 2 - Prob. 2.160P Ch. 2 - Prob. 2.161P Ch. 2 - Prob. 2.1WP Ch. 2 - Prob. 2.2WP Ch. 2 - W2.3 Consider a submerged curved surface that...Ch. 2 - Prob. 2.4WP Ch. 2 - Prob. 2.5WP Ch. 2 - W2.6 Consider a balloon of mass m floating...Ch. 2 - Prob. 2.7WP Ch. 2 - W2.8 Repeat your analysis of Prob. W2.7 to let the...Ch. 2 - Prob. 2.9WP Ch. 2 - Prob. 2.1FEEP Ch. 2 - FE2.2 On a sea-level standard day, a pressure...Ch. 2 - Prob. 2.3FEEP Ch. 2 - In Fig, FE2,3, if the oil in region B has SG = 0,8...Ch. 2 - Prob. 2.5FEEP Ch. 2 - Prob. 2.6FEEP Ch. 2 - Prob. 2.7FEEP Ch. 2 - Prob. 2.8FEEP Ch. 2 - Prob. 2.9FEEP Ch. 2 - Prob. 2.10FEEP Ch. 2 - Prob. 2.1CP Ch. 2 - Prob. 2.2CP Ch. 2 - Prob. 2.3CP Ch. 2 - Prob. 2.4CP Ch. 2 - Prob. 2.5CP Ch. 2 - Prob. 2.6CP Ch. 2 - Prob. 2.7CP Ch. 2 - Prob. 2.8CP Ch. 2 - Prob. 2.9CP Ch. 2 - Prob. 2.1DP Ch. 2 - Prob. 2.2DP Ch. 2 - The Leary Engineering Company (see Popular...

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