Applied Fluid Mechanics: Global Edition
7th Edition
ISBN: 9781292019611
Author: Robert Mott
Publisher: Pearson Higher Education
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Chapter 7, Problem 7.37PP
Compute the pressure at point
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A union feedback control system has the following open loop transfer function
where k>0 is a variable proportional gain
i. for K = 1 , derive the exact magnitude and phase expressions of G(jw).
ii) for K = 1 , identify the gaincross-over frequency (Wgc) [where IG(jo))| 1] and phase cross-overfrequency [where <G(jw) = - 180]. You can use MATLAB command "margin" to obtain there quantities.
iii) Calculate gain margin (in dB) and phase margin (in degrees) ·State whether the closed-loop is stable for K = 1 and briefly justify your answer based on the margin . (Gain marginPhase margin)
iv. what happens to the gain margin and Phase margin when you increase the value of K?you
You can use for loop in MATLAB to check that.Helpful matlab commands : if, bode, margin, rlocus
NO COPIED SOLUTIONS
The 120 kg wheel has a radius of gyration of 0.7 m. A force P with a magnitude of 50 N is applied at the edge of the wheel as seen in the diagram. The coefficient of static friction is 0.3, and the coefficient of kinetic friction is 0.25. Find the acceleration and angular acceleration of the wheel.
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Using MATLAB , find the magnitude and phase plot of the compensators
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Chapter 7 Solutions
Applied Fluid Mechanics: Global Edition
Ch. 7 - A horizontal pipe carries oil with a specific...Ch. 7 - Water at 40 F is flowing downward through the...Ch. 7 - Find the volume flow rate of water exiting from...Ch. 7 - A long DN 150 Schedule 40 steel pipe discharges...Ch. 7 - Figure 7.14 shows a setup to determine the energy...Ch. 7 - A test setup to determine the energy loss as water...Ch. 7 - The setup shown in Fig. 7.16 is being used to...Ch. 7 - A pump is being used to transfer water from an...Ch. 7 - In Problem 7.815 (Fig. 7.17), if the left-hand...Ch. 7 - A commercially available sump pump is capable of...
Ch. 7 - A submersible deep-well pump delivers 745 gal/h of...Ch. 7 - In a pump test the suction pressure at the pump...Ch. 7 - The pump shown in Fig. 7.19 is delivering...Ch. 7 - The pump in Fig. 7.20 delivers water from the...Ch. 7 - Repeat Problem 7.14, but assume that the level of...Ch. 7 - Figure 7.21 shows a pump delivering 840L/min of...Ch. 7 - Figure 7.22 shows a submersible pump being used to...Ch. 7 - Figure 7.23 shows a small pump in an automatic...Ch. 7 - The water being pumped in the system shown in Fig....Ch. 7 - A manufacturer's rating for a gear pump states...Ch. 7 - The specifications for an automobile fuel pump...Ch. 7 - Figure 7.26 shows the arrangement of a circuit for...Ch. 7 - Calculate the power delivered to the hydraulic...Ch. 7 - Water flows through the turbine shown in Fig....Ch. 7 - Calculate the power delivered by the oil to the...Ch. 7 - What hp must the pump shown in Fig. 7.30 deliver...Ch. 7 - If the pump in Problem 7.26 operates with an...Ch. 7 - The system shown in Fig. 7.31 delivers 600 L/min...Ch. 7 - Kerosene (sg = 0.823 ) flows at 0.060m3/s in the...Ch. 7 - Water at 60 F flows from a large reservoir through...Ch. 7 - Figure 7.34 shows a portion of a fire protection...Ch. 7 - For the conditions of Problem 7.31 and if we...Ch. 7 - In Fig. 7.35 kerosene at 25 F is flowing at 500...Ch. 7 - For the system shown in Fig. 7.35 and analyzed in...Ch. 7 - Compute the power removed from the fluid by the...Ch. 7 - Compute the pressure at point 2 at the pump inlet.Ch. 7 - Compute the pressure at point 3 at the pump...Ch. 7 - Compute the pressure at point 4 at the press...Ch. 7 - Compute the pressure at point 5 at the press...Ch. 7 - Evaluate the suitability of the sizes for the...Ch. 7 - The portable, pressurized fuel can shown in Fig....Ch. 7 - Professor Crocker is building a cabin on a...Ch. 7 - If Professor Crocker's pump, described in Problem...Ch. 7 - The test setup in Fig. 7.39 measures the pressure...Ch. 7 - If the fluid motor in Problem 7.44 has an...Ch. 7 - A village with a need for a simple irrigation...Ch. 7 - As a member of a development team for a new jet...Ch. 7 - A fire truck utilizes its engine to drive a pump...Ch. 7 - A home has a sump pump to handle ground water from...Ch. 7 - In Problem 6.107 an initial calculation was made...Ch. 7 - A creek runs through a certain part of a campus...Ch. 7 - A hot tub is to have 40 outlets that are each 8 mm...Ch. 7 - A large chipper/shredder is to be designed for use...
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- 4-81 The corner shown in Figure P4-81 is initially uniform at 300°C and then suddenly exposed to a convection environment at 50°C with h 60 W/m². °C. Assume the = 2 solid has the properties of fireclay brick. Examine nodes 1, 2, 3, 4, and 5 and deter- mine the maximum time increment which may be used for a transient numerical calculation. Figure P4-81 1 2 3 4 1 cm 5 6 1 cm 2 cm h, T + 2 cmarrow_forwardAuto Controls A union feedback control system has the following open loop transfer function where k>0 is a variable proportional gain i. for K = 1 , derive the exact magnitude and phase expressions of G(jw). ii) for K = 1 , identify the gaincross-over frequency (Wgc) [where IG(jo))| 1] and phase cross-overfrequency [where <G(jw) = - 180]. You can use MATLAB command "margin" to obtain there quantities. iii) Calculate gain margin (in dB) and phase margin (in degrees) ·State whether the closed-loop is stable for K = 1 and briefly justify your answer based on the margin . (Gain marginPhase margin) iv. what happens to the gain margin and Phase margin when you increase the value of K?you You can use for loop in MATLAB to check that.Helpful matlab commands : if, bode, margin, rlocus NO COPIED SOLUTIONSarrow_forwardAuto Controls Hand sketch the root Focus of the following transfer function How many asymptotes are there ?what are the angles of the asymptotes?Does the system remain stable for all values of K NO COPIED SOLUTIONSarrow_forward
- Please draw the section view of the following problemsarrow_forward7) Please draw the front, top and side view for the following object. Please cross this line outarrow_forwardA 10-kg box is pulled along P,Na rough surface by a force P, as shown in thefigure. The pulling force linearly increaseswith time, while the particle is motionless att = 0s untilit reaches a maximum force of100 Nattimet = 4s. If the ground has staticand kinetic friction coefficients of u, = 0.6 andHU, = 0.4 respectively, determine the velocityof the A 1 0 - kg box is pulled along P , N a rough surface by a force P , as shown in the figure. The pulling force linearly increases with time, while the particle is motionless at t = 0 s untilit reaches a maximum force of 1 0 0 Nattimet = 4 s . If the ground has static and kinetic friction coefficients of u , = 0 . 6 and HU , = 0 . 4 respectively, determine the velocity of the particle att = 4 s .arrow_forward
- Calculate the speed of the driven member with the following conditions: Diameter of the motor pulley: 4 in Diameter of the driven pulley: 12 in Speed of the motor pulley: 1800 rpmarrow_forward4. In the figure, shaft A made of AISI 1010 hot-rolled steel, is welded to a fixed support and is subjected to loading by equal and opposite Forces F via shaft B. Stress concentration factors K₁ (1.7) and Kts (1.6) are induced by the 3mm fillet. Notch sensitivities are q₁=0.9 and qts=1. The length of shaft A from the fixed support to the connection at shaft B is 1m. The load F cycles from 0.5 to 2kN and a static load P is 100N. For shaft A, find the factor of safety (for infinite life) using the modified Goodman fatigue failure criterion. 3 mm fillet Shaft A 20 mm 25 mm Shaft B 25 mmarrow_forwardPlease sovle this for me and please don't use aiarrow_forward
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