Applied Fluid Mechanics (7th Edition)
7th Edition
ISBN: 9780132558921
Author: Robert L. Mott, Joseph A. Untener
Publisher: PEARSON
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Textbook Question
Chapter 5, Problem 5.54PP
A proposed design for a part of a seawall consists of a rectangular solid weighing
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A proposed design for a part of a seawall consists of a rectangular solid weighing860 N with dimensions of 14 m by 4.00 m by 2.00 m. The 14 m side is to be vertical.Will this object float stably in seawater? Show all calculations that lead to yourconclusion.
Situation. A right circular cylinder having a diameter of 1.00 m and weighing 900 N is held in position by an anchor
block such that 0.30 m of the cylinder is below the surface of the water with its axis vertical. The anchor block has
a volume of 0.50 cubic meters and weighs 24 kN per cubic meter in air. Assume sea water to have specific gravity
of 1.03. Neglecting the weight and volume of the cable.
1. Evaluate the buoyant force on the cylinder for the position described, in kN.
O 2.15
O 4.25
O 2.95
O 2.38
2. Evaluate the tensile force in wire for the given draft, in kN.
0 3.25
0 3.95
01.48
01.95
3. Evaluate the rise in the tide that will lift the anchor from the bottom of the sea, in meters.
00.53
0 0.69
00.96
00.44
(a) A rectangular, fully enclosed tank 2.4m long, 1.4m wide and 0.8m high is
constructed of sheet metal weighing 443.6 kg-f (force). The tank floats in sea water
of density 1025kg/m³ with its 0.8m sides vertical. If the centre of gravity is at the
geometric centre of the vessel, calculate the metacentric height and comment on the
stability of the tank.
(b) A hydrometer is an instrument used for measuring the relative density of liquids
based on the concept of buoyancy. A particular hydrometer is 80 cm in length.
When placed in pure water, 50cm of the hydrometer is submerged and it reads
1.000 as shown in Figure 1.
i) Calculate the density of the hydrometer?
ii) When placed in Alcohol, 65 cm of the hydrometer is submerged beneath the
alcohol. Calculate the density of alcohol?
iii) Determine the reading of the hydrometer when it is in the alcohol?
iy What will happen when this hydrometer place in Pentane (p-625 kgm):
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1.00
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50cm
Figure 1: A hydrometer
Chapter 5 Solutions
Applied Fluid Mechanics (7th Edition)
Ch. 5 - The instrument package shown in Fig. 5.18 weighs...Ch. 5 - A 1.0 -m-diameter hollow sphere weighing 200 N is...Ch. 5 - A certain standard steel pipe has an outside...Ch. 5 - A cylindrical float has a 10 -in diameter and is...Ch. 5 - A buoy is a solid cylinder 0.3 m in diameter and...Ch. 5 - A float to be used as a level indicator is being...Ch. 5 - A concrete block with a specific weight of...Ch. 5 - Figure 5.19shows a pump partially submerged in oil...Ch. 5 - A steel cube 100mm on a side weighs 80N. We want...Ch. 5 - A cylindrical drum is 2 ft in diameter, 3 ft long,...
Ch. 5 - If the aluminum weights described in Problem 5.10...Ch. 5 - Figure 5.20 shows a cube floating in a fluid....Ch. 5 - A hydrometer is a device for indicating the...Ch. 5 - For the hydrometer designed in Problem 5.13 what...Ch. 5 - For the hydrometer designed in Problem 5.13 , what...Ch. 5 - A buoy is to support a cone-shaped instrument...Ch. 5 - A cube has side dimensions of 18.00 in. It is made...Ch. 5 - A cube has side dimensions of 18.00 in. It is made...Ch. 5 - A ship has a mass of 292 Mg. Compute the volume of...Ch. 5 - An iceberg has a specific weight of 8.72kN/m3....Ch. 5 - A cylindrical log has a diameter of 450 mm and a...Ch. 5 - The cylinder shown in Fig. 5.23 is made from a...Ch. 5 - If the cylinder from Problem 5.22 is placed in...Ch. 5 - A brass weight is to be attached to the bottom of...Ch. 5 - For the cylinder with the added brass (described...Ch. 5 - For the composite cylinder shown in Fig. 5.25 what...Ch. 5 - A vessel for a special experiment has a hollow...Ch. 5 - A light foam cup similar to a disposable coffee...Ch. 5 - A light foam cup similar to a disposable coffee...Ch. 5 - Repeat Problem 5.29, but consider that the steel...Ch. 5 - Figure 5.27 shows a raft made of four hollow drums...Ch. 5 - Figure 5.28 shows the construction of the platform...Ch. 5 - For the raft shown in Fig. 5.27, how much of the...Ch. 5 - For the raft and platform shown in Figs. 5.27 and...Ch. 5 - A float in an ocean harbor is made from a uniform...Ch. 5 - Describe how the situation described in Problem...Ch. 5 - A cube 6.00 in on a side is made from aluminum...Ch. 5 - Prob. 5.38PPCh. 5 - A cylindrical block of wood is 1.00 m in diameter...Ch. 5 - A container for an emergency beacon is a...Ch. 5 - The large platform shown in Fig. 5.29 carries...Ch. 5 - Will the cylindrical float described in Problem...Ch. 5 - Will the buoy described in Problem 5.5 be stable...Ch. 5 - Will the float described in Problem 5.6 be stable...Ch. 5 - A closed, hollow, empty drum has a diameter of...Ch. 5 - Figure 5.30 shows a river scow used to carry bulk...Ch. 5 - Prob. 5.47PPCh. 5 - For the vessel shown in Fig. 5.26and described in...Ch. 5 - For the foam cup described in Problem 5.28, will...Ch. 5 - Referring to Problem 5.29, assume that the steel...Ch. 5 - Referring to Problem 5.30, assume that the steel...Ch. 5 - Prob. 5.52PPCh. 5 - Will the cylinder together with the brass plate...Ch. 5 - A proposed design for a part of a seawall consists...Ch. 5 - A platform is being designed to support some water...Ch. 5 - Prob. 5.56PPCh. 5 - A barge is 60 ft long, 20 ft wide, and 8 ft deep....Ch. 5 - If the barge in Problem 5.57 is loaded with 240000...Ch. 5 - A piece of cork having a specific weight of...Ch. 5 - Figure 5.20 shows a cube floating in a fluid, (a)...Ch. 5 - A boat is shown in Fig. 5.33(a). Its geometry at...Ch. 5 - (a) If the cone shown in Fig. 5.34 is made of pine...Ch. 5 - Refer to Fig. 5.35. The vessel shown is to be used...Ch. 5 - Prob. 5.64PPCh. 5 - Wetsuits are prohibited in some triathlons due to...Ch. 5 - A cylinder that is 500 mm in diameter and 2.0 m...Ch. 5 - The diving bell shown in Fig. 5.2 weighs 72 kN and...Ch. 5 - Prob. 5.68PPCh. 5 - A scuba diver with wet suit, tank, and gear has a...Ch. 5 - Prob. 5.70PPCh. 5 - Does steel float? It has a specific gravity of...Ch. 5 - Prob. 5.72PPCh. 5 - An undersea camera (Figure 5.36 ) is to hang from...Ch. 5 - Work Problem 5.73 again, but this time the camera...Ch. 5 - Write a program for evaluating the stability of a...Ch. 5 - For any cylinder of a uniform density floating in...Ch. 5 - For the results found in Project 2, compute the...Ch. 5 - Write a program for evaluating the stability of a...Ch. 5 - Write a program for determining the stability of a...
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