Fluid Mechanics
8th Edition
ISBN: 9780073398273
Author: Frank M. White
Publisher: McGraw-Hill Education
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 2, Problem 2.52P
Example 2.5 calculated the force on plate AB and its line of action, using the moment-of-inertia approach. Some teachers say it is more instructive to calculate these by direct integration of the pressure forces. Using Figs. P2.52 and E2.5a, (a) find an expression for the pressure variation p(
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
4.17 The torque T necessary to rotate a disc of radius R a distance h from a flat plate depends on the rotational speed w and the fluid viscosity p.. Relate T to the appropriate variables and fluid density, rho.
The two-pan balance scale of Fig.
a 400-mm-long bar that fits loosely over a 20-mm-diame-
ter shaft. The center of mass of the bar coincides with the
center of the shaft. The scale functions by placing an item
to be weighed (for example, a mini-TV) in the right pan
and then placing known weights in the left pan until the
scale is in equilibrium. However, because of bearing fric-
tion, the system can be in equilibrium for more than a sin-
gle value of weight in the left pan. If the coefficient of fric-
tion between the bar and the shaft is 0.30, determine the
range of weights that can be placed in the left pan to bal-
ance an 80-N object placed in the right pan.
consists of
-200 mm 200 mm
-
P2.51
Gate AB in Fig. P2.51 is 1.2 m long and 0.8 m into the paper. Neglecting atmospheric pressure, compute the force Fon the
gate and its center-of-pressure position X.
6 m
Oil,
SG 0.82
%3D
4 m
8 m
AA1.2 m
1 m
40°
P2.51
Chapter 2 Solutions
Fluid Mechanics
Ch. 2 - Prob. 2.1PCh. 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. 2.6PCh. 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. 2.11PCh. 2 - Prob. 2.12PCh. 2 - Prob. 2.13PCh. 2 - Prob. 2.14PCh. 2 - Prob. 2.15PCh. 2 - Prob. 2.16PCh. 2 - Prob. 2.17PCh. 2 - The system in Fig. P2.18 is at 20°C. If...Ch. 2 - Prob. 2.19PCh. 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. 2.23PCh. 2 - Prob. 2.24PCh. 2 - Prob. 2.25PCh. 2 - Prob. 2.26PCh. 2 - P2.27 Conduct an experiment to illustrate...Ch. 2 - Prob. 2.28PCh. 2 - Prob. 2.29PCh. 2 - Prob. 2.30PCh. 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. 2.33PCh. 2 - Prob. 2.34PCh. 2 - Water flows upward in a pipe slanted at 30°, as in...Ch. 2 - Prob. 2.36PCh. 2 - Prob. 2.37PCh. 2 - If the pressure in container A in Fig. P2.38 is...Ch. 2 - Prob. 2.39PCh. 2 - Prob. 2.40PCh. 2 - P2.41 The system in Fig. P2.41 is at 20°C....Ch. 2 - Prob. 2.42PCh. 2 - Prob. 2.43PCh. 2 - Prob. 2.44PCh. 2 - Prob. 2.45PCh. 2 - In Fig. P2.46 both ends of the manometer are open...Ch. 2 - Prob. 2.47PCh. 2 - The system in Fig. P2.4H is open to 1 atm on the...Ch. 2 - Prob. 2.49PCh. 2 - Prob. 2.50PCh. 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. 2.53PCh. 2 - Prob. 2.54PCh. 2 - Gate AB in Fig. P2.55 is 5 ft wide into the paper,...Ch. 2 - Prob. 2.56PCh. 2 - Prob. 2.57PCh. 2 - Prob. 2.58PCh. 2 - Gate AB has length L and width b into the paper,...Ch. 2 - Prob. 2.60PCh. 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. 2.64PCh. 2 - Prob. 2.65PCh. 2 - Prob. 2.66PCh. 2 - Prob. 2.67PCh. 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. 2.70PCh. 2 - Prob. 2.71PCh. 2 - Prob. 2.72PCh. 2 - P2.73 Gate AB is 5 ft wide into the paper and...Ch. 2 - Prob. 2.74PCh. 2 - Prob. 2.75PCh. 2 - Prob. 2.76PCh. 2 - P2.77 The circular gate ABC in Fig. P2.77 has l-m...Ch. 2 - Prob. 2.78PCh. 2 - Prob. 2.79PCh. 2 - Prob. 2.80PCh. 2 - Prob. 2.81PCh. 2 - Prob. 2.82PCh. 2 - Prob. 2.83PCh. 2 - Prob. 2.84PCh. 2 - P2.85 Compute the horizontal and vertical...Ch. 2 - Prob. 2.86PCh. 2 - The bottle of champagne (SG = 0.96) in Fig. P2.87...Ch. 2 - Prob. 2.88PCh. 2 - Prob. 2.89PCh. 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. 2.93PCh. 2 - Prob. 2.94PCh. 2 - Prob. 2.95PCh. 2 - Prob. 2.96PCh. 2 - Prob. 2.97PCh. 2 - Prob. 2.98PCh. 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. 2.101PCh. 2 - Prob. 2.102PCh. 2 - Prob. 2.103PCh. 2 - Prob. 2.104PCh. 2 - P2.105 it is said that Archimedes discovered the...Ch. 2 - Prob. 2.106PCh. 2 - Prob. 2.107PCh. 2 - P2.108 A 7-cm-diameter solid aluminum ball (SG =...Ch. 2 - Prob. 2.109PCh. 2 - Prob. 2.110PCh. 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. 2.113PCh. 2 - Prob. 2.114PCh. 2 - P2.115 The 2-in by 2-in by 12-ft spar buoy from...Ch. 2 - Prob. 2.116PCh. 2 - The solid sphere in Fig. P2.117 is iron ( SG7.9 )....Ch. 2 - Prob. 2.118PCh. 2 - Prob. 2.119PCh. 2 - Prob. 2.120PCh. 2 - Prob. 2.121PCh. 2 - Prob. 2.122PCh. 2 - Prob. 2.123PCh. 2 - Prob. 2.124PCh. 2 - Prob. 2.125PCh. 2 - Prob. 2.126PCh. 2 - Prob. 2.127PCh. 2 - Prob. 2.128PCh. 2 - Prob. 2.129PCh. 2 - Prob. 2.130PCh. 2 - Prob. 2.131PCh. 2 - Prob. 2.132PCh. 2 - Prob. 2.133PCh. 2 - Prob. 2.134PCh. 2 - P2.135 Consider a homogeneous right circular...Ch. 2 - Prob. 2.136PCh. 2 - Prob. 2.137PCh. 2 - Prob. 2.138PCh. 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. 2.142PCh. 2 - Prob. 2.143PCh. 2 - Prob. 2.144PCh. 2 - A fish tank 14 in deep by 16 by 27 in is to be...Ch. 2 - Prob. 2.146PCh. 2 - Prob. 2.147PCh. 2 - Prob. 2.148PCh. 2 - Prob. 2.149PCh. 2 - Prob. 2.150PCh. 2 - Prob. 2.151PCh. 2 - P2.152 A 16-cm-diamctcr open cylinder 27 cm high...Ch. 2 - Prob. 2.153PCh. 2 - Prob. 2.154PCh. 2 - Prob. 2.155PCh. 2 - Prob. 2.156PCh. 2 - Prob. 2.157PCh. 2 - Prob. 2.158PCh. 2 - Prob. 2.159PCh. 2 - Prob. 2.160PCh. 2 - Prob. 2.161PCh. 2 - Prob. 2.1WPCh. 2 - Prob. 2.2WPCh. 2 - W2.3 Consider a submerged curved surface that...Ch. 2 - Prob. 2.4WPCh. 2 - Prob. 2.5WPCh. 2 - W2.6 Consider a balloon of mass m floating...Ch. 2 - Prob. 2.7WPCh. 2 - W2.8 Repeat your analysis of Prob. W2.7 to let the...Ch. 2 - Prob. 2.9WPCh. 2 - Prob. 2.1FEEPCh. 2 - FE2.2 On a sea-level standard day, a pressure...Ch. 2 - Prob. 2.3FEEPCh. 2 - In Fig, FE2,3, if the oil in region B has SG = 0,8...Ch. 2 - Prob. 2.5FEEPCh. 2 - Prob. 2.6FEEPCh. 2 - Prob. 2.7FEEPCh. 2 - Prob. 2.8FEEPCh. 2 - Prob. 2.9FEEPCh. 2 - Prob. 2.10FEEPCh. 2 - Prob. 2.1CPCh. 2 - Prob. 2.2CPCh. 2 - Prob. 2.3CPCh. 2 - Prob. 2.4CPCh. 2 - Prob. 2.5CPCh. 2 - Prob. 2.6CPCh. 2 - Prob. 2.7CPCh. 2 - Prob. 2.8CPCh. 2 - Prob. 2.9CPCh. 2 - Prob. 2.1DPCh. 2 - Prob. 2.2DPCh. 2 - The Leary Engineering Company (see Popular...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- A tremendous force is generated when waterfreezes into ice and expands in volume by 9.0%. Suppose a 1.000-m3cube of liquid water freezes into ice that is 1.000 m on a side by1.090 m tall. How many 68-kg students would the ice be able tolift? Determine this by calculating the amount of force on the top1.000-m2face that would be required to squeeze 1.090 m3of iceback to 1.000 m3, assuming all of the volume change occurs alongthe vertical directionarrow_forward1. For a soap bubble, the inside pressure must be greater than that outside, and the surface tension acts like a skin to support this pressure difference Ap. The pressure difference is then a function of surface tension σ and bubble radius R, i.e., Ap = f(o, R). Using Buckingham Pi theorem, find the II group(s) associated with this problem and express them in the form II₁ = (II2, ..., II-r). (Ans: ApR = constant) σarrow_forwardThe swing-check valve in Fig. covers a 22.86-cmdiameter opening in the slanted wall. The hinge is 15 cmfrom the centerline, as shown. The valve will open whenthe hinge moment is 50 N · m. Find the value of h for thewater to cause this condition.arrow_forward
- (b) A horizontal line PQRS is 14 m long as shown in Fig. 1, where PQ= 5m, QR= 4m, RS= 5m. Forces of 1000 N, 1500 N, 600 N and 1500 N act at P, Q, R and S respectively with downward direction. The lines of action of these forces make angles of 90', 60', 45 and 30 respectively with PS. Find the magnitude, direction and position of the resultant force 1000 N 1500 N 6 00 N 1 500 N 90 e60 R 45 Figure 1 5m 4 m 5 marrow_forwardThere are various methods that can be used to calculate the hydrostatic force on a submerged surface. Which of the following statements are correct? (i) (iii) The pressure prism method gives good understanding of the fundamentals but it can only be used for plane surface uniform in the spanwise direction. The parallel axis theorem can be used for surface not uniform in the spanwise direction such as a circular or triangular plane surfaces, but it is limited to simple geometry where the second moment of area can be easily defined. The elementary area method can be used for any 2 or 3 dimensional surface as long as the geometric unit normal vector is known at any point on the surface. (A) (B) (C) (D) (i) and (ii) (i) and (iii) (ii) and (iii) All of the above The Eulerian frame of reference is commonly used in analyzing fluid problems instead of the Lagrangian frame of reference. The main differences between these 2 frames of reference are: (i) The steady motion in Lagrangian frame of…arrow_forwardHi, please help me find the correct answer and solution for this Equivalent Force Systems problem. What we are asked here is to find the magnitude of the equivalent resultant force. ASAP! Thank you.arrow_forward
- The Hoover Dam, in Arizona, encloses Lake Mead,which contains 10 trillion gallons of water. The dam is1200 ft wide and the lake is 500 ft deep. ( a ) Estimate thehydrostatic force on the dam, in MN. ( b ) Explain howyou might analyze the stress in the dam due to this hydrostaticforce.arrow_forwardPlz answer I will rate !:) A right circular cylindrical tank with its circular base on the ground is full of water. The diameter of the base is 4m and the height of the tank is 4m. Set up a Riemann sum to approximate the hydro static force against the lateral wall of the tank. Then express the force as an integral and evaluate it.arrow_forwardA vat contains a mixture of oil and water. The water forms a lower layer which is 0.8 m deep, and above it there is an oil layer 0.3 m thick. The density of water is 1000 kg/m², and the density of oil is 800 kg/m?. Find the force on a flat door at the bottom of the vessel that has a cross-sectional area of 0.5 m?. The acceleration due to gravity is 9.81 m/s. Oil, P. = 800 kg/m3 h. = 0.3 m Water, Pw = 1000 kg/m3 h= 0.8 m A = 0.5 m² O a. 1.28 kN оБ. 4.32 kN O c. 10.2 kN O d. 5.4 kN e. 5.1 kNarrow_forward
- A professor's office door is 0.99 m wide, 2.2 m high, 4.2 cm thick; has a mass of 27 kg, and pivots on frictionless hinges. A "door closer" is attached to door and the top of the door frame. When the door is open and at rest, the door closer exerts a torque of 5.6 N*m. What is the moment of inertia of the door? If you let go of the open door, what is its angular acceleration immediately afterward?arrow_forwardPLEASE PLEASE HELP SOLVE THIS, A swimming pool is 30 ft wide and 60 ft long and its bottom is an inclined plane, the shallow end having a depth of 4 ft and the deep end, 8 ft. Assume the pool is full of water. (Round your answers to the nearest whole number. Recall that the weight density of water is 62.5 lb/ft3.) (c) Estimate the hydrostatic force (in lb) on one of the sides.arrow_forward5. The Hoover Dam, in Arizona, encloses Lake Mead, which contains 10 trillion gallons of water. The dam is 1200 ft wide and the lake is 500 ft deep. (a) Estimate the hydrostatic force on the dam, in MN. (b) Explain how you might analyze the stress in the dam due to this hydrostatic force?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University PressMechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSONThermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
- Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEYMechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage LearningEngineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY
Elements Of Electromagnetics
Mechanical Engineering
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:9780134319650
Author:Russell C. Hibbeler
Publisher:PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:9781259822674
Author:Yunus A. Cengel Dr., Michael A. Boles
Publisher:McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:9781118170519
Author:Norman S. Nise
Publisher:WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:9781118807330
Author:James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:WILEY
Introduction To Engg Mechanics - Newton's Laws of motion - Kinetics - Kinematics; Author: EzEd Channel;https://www.youtube.com/watch?v=ksmsp9OzAsI;License: Standard YouTube License, CC-BY