< To determine (a) That the hydrostatic force is equal to the weight of missing water above the plate. Explanation Given information: It would be not equal to the weight of missing water, as for the calculation of hydrostatic force we have to use following hypothesis. L e t us consider that Length of gate = L width of gate = b Calculation: F o r c e due to water (F w ) = ρ gA X ¯ ρ is density of water A is area of gate = bL w h e r e X ¯ is centroidal height of gate from free surface = h 1 + h 2 2 < To determine (b) That the missing water theory is generalized for curved surface.

8th Edition

ISBN: 9780073398273

Author: Frank M. White

Publisher: McGraw-Hill Education

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Chapter 2, Problem 2.69P

To determine

(a)

That the hydrostatic force is equal to the weight of missing water above the plate.

To determine

(b)

That the missing water theory is generalized for curved surface.

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Chapter 2, Problem 2.68P

Chapter 2, Problem 2.70P

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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. 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