Fluid Mechanics
Fluid Mechanics
8th Edition
ISBN: 9780073398273
Author: Frank M. White
Publisher: McGraw-Hill Education
bartleby

Videos

Question
Book Icon
Chapter 2, Problem 2.13P
To determine

The height h of the third liquid in the right leg of the tank.

Expert Solution & Answer
Check Mark

Answer to Problem 2.13P

The height h of the third liquid in the right leg of the tank is 1.52m.

Explanation of Solution

Write the expression for specific weight of the liquid.

γliquid=(SG)liquid(γwater) …… (I)

Here, the specific weight of liquid is γliquid, the specific gravity of liquid is (SG)liquid and specific weight of water is (γwater).

Write the expression for total column height.

ht=(hwater)+(hliquid) …… (II)

Here, the total column height is ht, the height of water column is hwater and the height of liquid column is hliquid.

Write the hydrostatic formula.

[(γwater)(hwater)+(γliquid)(hliquid)(γliquid)(h)(γgasoline)((ht)h)]=0 …… (III)

Here, the specific weight of gasoline is γgasoline and the height from liquid to liquid-gasoline interface is h.

Substitute (SG)liquid(γwater) for γliquid and (hwater)+(hliquid) for ht in Equation (III).

[(γwater)(hwater)+((SG)liquid(γwater))(hliquid)((SG)liquid(γwater))(h)(γgasoline)(((hwater)+(hliquid))h)]=0 …… (IV)

Substitute 9790N/m3 for γwater, 1.5m for hwater, 1.60 for (SG)liquid, 1m for hliquid and 6670N/m3 for γgasoline in Equation (IV).

[(9790N/m3)(1.5m)+((1.60)(9790N/m3))(1m)((1.60)(9790N/m3))(h)(6670N/m3)(((1.5m)+(1m))h)]=0[(30349N/m2)(16675N/m2)(8994N/m3)(h)]=0(13674N/m2)=(8994N/m3)(h)h=(13674N/m28994N/m3)

Further simplify the above equation.

h=(13674N/m28994N/m3)=1.52034m1.52m

Conclusion:

Thus, the height of the third liquid in the right leg of the tank is 1.52m.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Chapter 2 Solutions

Fluid Mechanics

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
Background pattern image
Mechanical Engineering
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.
Recommended textbooks for you
Text book image
Elements Of Electromagnetics
Mechanical Engineering
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Oxford University Press
Text book image
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:9780134319650
Author:Russell C. Hibbeler
Publisher:PEARSON
Text book image
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:9781259822674
Author:Yunus A. Cengel Dr., Michael A. Boles
Publisher:McGraw-Hill Education
Text book image
Control Systems Engineering
Mechanical Engineering
ISBN:9781118170519
Author:Norman S. Nise
Publisher:WILEY
Text book image
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Text book image
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:9781118807330
Author:James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:WILEY
Heat Transfer – Conduction, Convection and Radiation; Author: NG Science;https://www.youtube.com/watch?v=Me60Ti0E_rY;License: Standard youtube license