Applied Fluid Mechanics (7th Edition)
7th Edition
ISBN: 9780132558921
Author: Robert L. Mott, Joseph A. Untener
Publisher: PEARSON
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Chapter 5, Problem 5.52PP
To determine
The above cylinder is stable in the required position.
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Question 1
A three-blade propeller of a diameter of 2 m has an activity factor AF of 200 and its
ratio of static thrust coefficient to static torque coefficient is 10. The propeller's
integrated lift coefficient is 0.3.
(L=6847 mm, q = 5331 N/mm, M = 1408549 N.mm, and El = 8.6 x 1014 N. mm²)
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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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- Calculate the maximum shear stress Tmax at the selected element within the wall (Fig. Q3) if T = 26.7 KN.m, P = 23.6 MPa, t = 2.2 mm, R = 2 m. The following choices are provided in units of MPa and rounded to three decimal places. Select one: ○ 1.2681.818 O 2. 25745.455 O 3. 17163.636 O 4. 10727.273 ○ 5.5363.636arrow_forwardIf L-719.01 mm, = 7839.63 N/m³, the normal stress σ caused by self-weight at the location of the maximum normal stress in the bar can be calculated as (Please select the correct value of σ given in Pa and rounded to three decimal places.) Select one: ○ 1. 1409.193 2. 845.516 O 3. 11273.545 ○ 4.8455.159 ○ 5.4509.418 6. 2818.386 7.5636.772arrow_forwardTo calculate the rotation at Point B, a suitable virtual structure needs to be created. Which equation in the following choices most accurately represents the functional relationship between the bending moment, Mv2 ( Units: N.mm), of the virtual structure and the spatial coordinate x (Units: mm) if the applied unit virtual moment is clockwise? Select one: O 1. Mv2 1.000 O 2. Mv2=x+1.000 O 3. Mv2=x+0.000 4. Mv2 = -x-1.000 O 5. Mv2 -1.000 6. Mv2=-x+0.000arrow_forward
- The vertical deflection at Point B can be calculated as ( The following choices are provided in units of mm and rounded to three decimal places ; the downward deflection is negative and upward deflection is positive. ) Select one: 1. 1703.065 2. -1703.065 3. -2043.679 4.1362.452 5. -1362.452 6. 2043.679arrow_forwardThe second moments of area about z-axis, /z, and the second moments of area about y-axis, ly, can be calculated as Select one: O 1. I = Iz ○ 2. Ly ○ 3. ○ 4. ○ 5. = = Iz = *D' 64 I₁ = D, Iz Ly Ly = 32 *D' = = 3 Iz = *D' 32 = *D' O 6. Iy=D, Ly = D², Iz = 32 O 7. Ly = Iz D = 64 32arrow_forward[If L=3508 mm, W-9189 N, E=80 GPa, Determine the deflection at the free end of the beam.] Step -2 Which equation in the following choices most accurately represents the functional relationship between the value of the slope O (Units: Radian) at half length (x = L/2) of the beam and the second moment of area about z-axis, Izz (Units: mm²), of the cross section? (Please note that " X = L/2" is the same as "X = L ÷ 2" .) Select one: O 1.0 448787.925/Izz O 2.0 279167.292/Izz O 3.0 38871.395/Izz O 4.0 114847.304/Izz O 5.0 176688.160/Izz O 6.0 609574.150/Izz O 7.0 70675.264/Izzarrow_forward
- Use the principle of virtual work to determine the vertical deflection and rotation at tip (Point B) of the cantilever shown below. (L=6847 mm, q = 5331 N/mm, M = 1408549 N.mm, and El = 8.6 x 1014 N. mm²) q Y M X A ΕΙ B L Step -1 Let the coordinates defined with origin located at B and x-axis pointing to the Left and Y-axis pointing upward. The bending moment, M (Units: N.mm), in the beam as a function of spatial coordinate x(Units: mm) can be most accurately described by Select one: 1. M=1126839.200 +2132.400*x*x 2. M=-1408549.000 - 3198.600*x*x 3. M=-1408549.000-2665.500*x*x 4. M=-1408549.000-2132.400*x*x 5. M= -1408549.000+2665.500*x*x 6. M= 1408549.000 + 2665.500*x*x 7. M= 1408549.000-2665.500*x*xarrow_forwardCalculate the principal stress σ at the selected element within the wall (Fig. Q3) if T = 26.7 KN.m, P = 23.6 MPa, t = 2.2 mm, R = 2 m. The following choices are provided in units of MPa and rounded to three decimal places Select one: O 1.5363.64 O 2. 12872.727 3.9118.182 4. 10727.273 5. 16090.909 6. 2681.818arrow_forwardQuestion2 The mission profile for a jet driven aircraft consists of the following segments: engine start and warm-up, taxi, take-off, climb to the cruise altitude of 35000 ft, descend to 10000 ft, one hour loiter at this altitude at 60% of the cruise speed, flight at loiter speed and altitude to an alternate airport (100 nm), descend to landing approach condition followed by the final landing, taxi and shutdown. The cruise Mach number is 0.8. No provisions are made for the reserved fuel or any trapped oil and fuel. The aircraft carries 200 people (including pilots and the cabin crew) at 175 lb each and 90 lb baggage each. This aircraft has a wing area of 2000 ft² L/D at cruise L/D at 10000ft flight Table Q2 20 16 0.43 lb/hr/lb 0.50 lb/hr/lb C: Specific Fuel Consumption at cruise: C: Specific Fuel Consumption at 10000 ft flight: Weight ratios Engine Start and warm-up Taxi Take-off Climb Descent Landing, taxi and shutdown 0.992 0.996 0.996 0.996 0.992 0.992 Question 2 continues on the…arrow_forward
- Calculate the principal stress σ1_at the selected element within the wall (Fig. Q3) if T = 26.7 KN.m, P = 23.6 MPa, t = 2.2 mm, R = 2 m. The following choices are provided in units of MPa and rounded to three decimal places. Select one: O 1.25745.455 O 2. 32181.818 3. 21454.545 4. 17163.636 5. 12872.727arrow_forwardCalculate the Von-Mises effective stress at the selected element within the wall (Fig. Q3) if T = 26.7 KN.m, P = 23.6 MPa, t = 2.2 mm, R = 2 m. The following choices are provided in units of MPa and rounded to three decimal places Select one: O 1.27870.272 O2. 18580.181 3. 11148.109 O 4. 14864.145 O 5.22296.218arrow_forwardA bar of length L and of a circular cross-section of diameter D is clamped at the top end and loaded at the other (bottom) end by a point load P as shown in Figure Q2a. The cross-section of the bar is shown in Figure Q2b indicating that load is applied at the point A. The material used in the bar has specific weight y. Find the magnitude and location of the maximum normal stress in the bar. Figure Q2 a Figure Q2 b 45°arrow_forward
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