Applied Fluid Mechanics (7th Edition)
7th Edition
ISBN: 9780132558921
Author: Robert L. Mott, Joseph A. Untener
Publisher: PEARSON
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Chapter 14, Problem 14.51PP
A flow rate of
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Figure below shows a link mechanism in which the link OA rotates uniformly in an
anticlockwise direction at 10 rad/s. the lengths of the various links are OA=75 mm, OB-150 mm,
BC=150 mm, CD-300 mm. Determine for the position shown, the sliding velocity of D.
A
A
B
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Space Diagram
o NTS (Not-to-Scale)
C
10
=--20125
735)
750 x2.01
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Tanism in which the link OA mm. O
anticlockwise direction at 10 rad/s, the lengths of the various links are OA=75mm, OB=150mm,
BC=150mm,CD=300mm. Determine for the position shown, the sliding velocity of D.
A
A
Space Diagram
o NT$ (Not-to-Scale)
B
#
C
か
750 x2.01
165
79622
Ashaft fitted with a flywheel rotates at 300 rpm. and drives a machine. The torque
required to drive the machine varies in a cyclic manner over a period of 2 revolutions. The torque drops
from 20,000 Nm to 10,000 Nm uniformly during 90 degrees and remains constant for the following 180
degrees. It then rises uniformly to 35,000 Nm during the next 225 degrees and after that it drops to
20,000 in a uniform manner for 225 degrees, the cycle being repeated thereafter.
Determine the power required to drive the machine and percentage fluctuation in speed, if the driving
torque applied to the shaft is constant and the mass of the flywheel is 12 tonnes with radius of gyration of
500 mm. What is the maximum angular acceleration of the flywheel.
35,000
TNM
20,000
10,000
0
90
270
495
Crank angle 8 degrees
720
Chapter 14 Solutions
Applied Fluid Mechanics (7th Edition)
Ch. 14 - Compute the hydraulic radius for a circular drain...Ch. 14 - A rectangular channel has a bottom width of 2.75...Ch. 14 - A drainage structure for an industrial park has a...Ch. 14 - Repeat Problem 14.3 lO if the side slope is 45Ch. 14 - Compute the hydraulic radius for a trapezoidal...Ch. 14 - Compute the hydraulic radius for the section shown...Ch. 14 - Repeat Problem 14.6 for a depth of 3.50 in.Ch. 14 - Compute the hydraulic radius for the channel shown...Ch. 14 - Compute the hydraulic radius for the channel shown...Ch. 14 - Water is flowing in a formed, unfinished concrete...
Ch. 14 - Determine the normal discharge for an aluminum...Ch. 14 - A circular culvert under a highway is 6 ft in...Ch. 14 - A wooden flume is being built to temporarily carry...Ch. 14 - A storm drainage channel in a city where heavy...Ch. 14 - Figure 14.21 represents the approximate shape of a...Ch. 14 - Calculate the depth of flow of water in a...Ch. 14 - Calculate the depth of flow in a trapezoidal...Ch. 14 - A rectangular channel must carry 2.0m3/s of water...Ch. 14 - The channel shown in Fig. 14.22 has a surface of...Ch. 14 - A square storage room is equipped with automatic...Ch. 14 - The flow from two of the troughs described in...Ch. 14 - For a rectangular channel with a bottom width of...Ch. 14 - It is desired to carry 2.00m3/s of water at a...Ch. 14 - For the channel designed in Problem 14.23, compute...Ch. 14 - Prob. 14.25PPCh. 14 - Prob. 14.26PPCh. 14 - A trapezoidal channel has a bottom width of 2.00...Ch. 14 - For the channel described in Problem 14.27,...Ch. 14 - Repeat Problem 14.28, except that the channel is...Ch. 14 - A trapezoidal channel has a bottom width of 2.00...Ch. 14 - Prob. 14.31PPCh. 14 - Compute the flow area and hydraulic radius for a...Ch. 14 - Prob. 14.33PPCh. 14 - Prob. 14.34PPCh. 14 - Prob. 14.35PPCh. 14 - Prob. 14.36PPCh. 14 - Prob. 14.37PPCh. 14 - Prob. 14.38PPCh. 14 - A rectangular channel 2.00 m wide carries 5.5m3/s...Ch. 14 - Prob. 14.40PPCh. 14 - A triangular channel with side slopes having a...Ch. 14 - A trapezoidal channel with a bottom width of 3.0...Ch. 14 - Prob. 14.43PPCh. 14 - Determine the required length of a contracted weir...Ch. 14 - Prob. 14.45PPCh. 14 - Prob. 14.46PPCh. 14 - Compare the discharges over the following weirs...Ch. 14 - Prob. 14.48PPCh. 14 - For a Parshall flume with a throat width of 9 in,...Ch. 14 - Prob. 14.50PPCh. 14 - A flow rate of 50ft3/s falls within the range of...Ch. 14 - Prob. 14.52PPCh. 14 - A long-throated flume is installed in a...Ch. 14 - Prob. 14.54PPCh. 14 - Prob. 14.55PPCh. 14 - Prob. 14.56PPCh. 14 - Prob. 14.57PPCh. 14 - For a long-throated flume of design B in a...Ch. 14 - For a long-throated flume of design C in a...Ch. 14 - Prob. 14.60PPCh. 14 - Prob. 14.61PP
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- Figure below shows a link mechanism in which the link OA rotates uniformly in an anticlockwise direction at 10 rad/s. the lengths of the various links are OA=75 mm, OB-150 mm, BC=150 mm, CD-300 mm. Determine for the position shown, the sliding velocity of D. A 45 B Space Diagram o NTS (Not-to-Scale) C Darrow_forwardmotion is as follows; 1- Dwell 45°. Plot the displacement diagram for a cam with flat follower of width 14 mm. The required 2- Rising 60 mm in 90° with Simple Harmonic Motion. 3- Dwell 90°. 4- Falling 60 mm for 90° with Simple Harmonic Motion. 5- Dwell 45°. Then design the cam profile to give the above displacement diagram if the minimum circle diameter of the cam is 50 mm.arrow_forwardAn ideal gas, occupying a volume of 0.02 m3 , has a temperature of 25 0C and is at 1.2 bar. The gas is compressed reversibly and adiabatically to a final pressure of 8 bar. Assuming the gas has an adiabatic index of γ = 1.4, calculate (a) the final temperature, (b) the final volume, (c) the work performed during the compression and (d) the heat transferred.arrow_forward
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- You are working as an engineer in a bearing systems design company. The flow of lubricant inside a hydrodynamic bearing (p = 0.001 kg m-1 s-1) can be approximated as a parallel, steady, two-dimensional, incompressible flow between two parallel plates. The top plate, representing the moving part of the bearing, travels at a constant speed, U, while the bottom plate remains stationary (Figure Q1). The plates are separated by a distance of 2h = 1 cm and are W = 20 cm wide. Their length is L = 10 cm. By applying the above approximations to the Navier-Stokes equations and assuming that end effects can be neglected, the horizontal velocity profile can be shown to be y = +h I 2h = 1 cm x1 y = -h u(y) 1 dP 2μ dx -y² + Ay + B moving plate stationary plate U 2 I2 L = 10 cm Figure Q1: Flow in a hydrodynamic bearing. The plates extend a width, W = 20 cm, into the page.arrow_forwardQuestion 1 You are working as an engineer in a bearing systems design company. The flow of lubricant inside a hydrodynamic bearing (µ = 0.001 kg m¯¹ s¯¹) can be approximated as a parallel, steady, two-dimensional, incompressible flow between two parallel plates. The top plate, representing the moving part of the bearing, travels at a constant speed, U, while the bottom plate remains stationary (Figure Q1). The plates are separated by a distance of 2h = 1 cm and are W = 20 cm wide. Their length is L = 10 cm. By applying the above approximations to the Navier-Stokes equations and assuming that end effects can be neglected, the horizontal velocity profile can be shown to be 1 dP u(y) = 2μ dx -y² + Ay + B y= +h Ꮖ 2h=1 cm 1 x1 y = −h moving plate stationary plate 2 X2 L = 10 cm Figure Q1: Flow in a hydrodynamic bearing. The plates extend a width, W = 20 cm, into the page. (a) By considering the appropriate boundary conditions, show that the constants take the following forms: U U 1 dP A =…arrow_forwardQuestion 2 You are an engineer working in the propulsion team for a supersonic civil transport aircraft driven by a turbojet engine, where you have oversight of the design for the engine intake and the exhaust nozzle, indicated in Figure Q2a. The turbojet engine can operate when provided with air flow in the Mach number range, 0.60 to 0.80. You are asked to analyse a condition where the aircraft is flying at 472 m/s at an altitude of 14,000 m. For all parts of the question, you can assume that the flow path of air through the engine has a circular cross section. (a) ← intake normal shock 472 m/s A B (b) 50 m/s H 472 m/s B engine altitude: 14,000 m exhaust nozzle E F exit to atmosphere diameter: DE = 0.30 m E F diameter: DF = 0.66 m Figure Q2: Propulsion system for a supersonic aircraft. a) When the aircraft is at an altitude of 14,000 m, use the International Standard Atmosphere in the Module Data Book to state the local air pressure and tempera- ture. Thus show that the aircraft speed…arrow_forward
- يكا - put 96** I need a detailed drawing with explanation or in wake, and the top edge of im below the free surface of the water. Determine the hydrothed if hydrostatic on the Plot the displacement diagram for a cam with roller follower of diameter 10 mm. The required motion is as follows; 1- Rising 60 mm in 135° with uniform acceleration and retardation motion. 2- Dwell 90° 3- Falling 60 mm for 135° with Uniform acceleration-retardation motion. Then design the cam profile to give the above displacement diagram if the minimum circle diameter of the cam is 50 mm. =--20125 7357 750 X 2.01arrow_forwardYou are working as an engineer in a bearing systems design company. The flow of lubricant inside a hydrodynamic bearing (µ = 0.001 kg m¯¹ s¯¹) can be approximated as a parallel, steady, two-dimensional, incompressible flow between two parallel plates. The top plate, representing the moving part of the bearing, travels at a constant speed, U, while the bottom plate remains stationary (Figure Q1). The plates are separated by a distance of 2h = 1 cm and are W = 20 cm wide. Their length is L = 10 cm. By applying the above approximations to the Navier-Stokes equations and assuming that end effects can be neglected, the horizontal velocity profile can be shown to be U y = +h У 2h = 1 cm 1 x1 y=-h u(y) = 1 dP 2μ dx -y² + Ay + B moving plate - U stationary plate 2 I2 L = 10 cm Figure Q1: Flow in a hydrodynamic bearing. The plates extend a width, W = 20 cm, into the page. (a) By considering the appropriate boundary conditions, show that the constants take the following forms: A = U 2h U 1 dP…arrow_forwardQuestion 2 You are an engineer working in the propulsion team for a supersonic civil transport aircraft driven by a turbojet engine, where you have oversight of the design for the engine intake and the exhaust nozzle, indicated in Figure Q2a. The turbojet engine can operate when provided with air flow in the Mach number range, 0.60 to 0.80. You are asked to analyse a condition where the aircraft is flying at 472 m/s at an altitude of 14,000 m. For all parts of the question, you can assume that the flow path of air through the engine has a circular cross section. (a) normal shock 472 m/s A B (b) intake engine altitude: 14,000 m D exhaust nozzle→ exit to atmosphere 472 m/s 50 m/s B diameter: DE = 0.30 m EX diameter: DF = 0.66 m Figure Q2: Propulsion system for a supersonic aircraft. F a) When the aircraft is at an altitude of 14,000 m, use the International Standard Atmosphere in the Module Data Book to state the local air pressure and tempera- ture. Thus show that the aircraft speed of…arrow_forward
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