Applied Fluid Mechanics (7th Edition)
7th Edition
ISBN: 9780132558921
Author: Robert L. Mott, Joseph A. Untener
Publisher: PEARSON
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Chapter 13, Problem 13.60PP
Repeat Problem 13.56 if the pump is
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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 13 Solutions
Applied Fluid Mechanics (7th Edition)
Ch. 13 - List 12 Factors that should be considered when...Ch. 13 - List items that must be specified for pumpsCh. 13 - Describe a positive-displacement pump.Ch. 13 - Name four examples of rotary positive-displacement...Ch. 13 - Name three types of reciprocating...Ch. 13 - Describe a kinetic pumpCh. 13 - Name three classifications of kinetic pumps.Ch. 13 - Describe the action of the impellers and the...Ch. 13 - Describe a jet pumpCh. 13 - Distinguish between a shallow-well jet pump and a...
Ch. 13 - Describe the difference between a simplex...Ch. 13 - Describe the general shape of the plot of pump...Ch. 13 - Describe the general shape of the plot of total...Ch. 13 - To the head-versus-capacity plot of Problem 13.13...Ch. 13 - To what do the affinity laws refer in regard to...Ch. 13 - Fora given centrifugal pump, if the speed of...Ch. 13 - For a given centrifugal pump, if the speed of...Ch. 13 - For a given centrifugal pump, if the speed of...Ch. 13 - For a given size of centrifugal pump casing, if...Ch. 13 - For a given size of centrifugal pump casing, if...Ch. 13 - For a given size of centrifugal pump casing, if...Ch. 13 - Describe each part of this centrifugal pump...Ch. 13 - For the line of pumps shown in Fig.13.22 specify a...Ch. 13 - For the line of pumps shown in Fig. 13.22 ,...Ch. 13 - For the 2x310 centrifugal pump performance curve...Ch. 13 - For the 2310 centrifugal pump performance curve...Ch. 13 - Using the result from Problem 13.26 describe how...Ch. 13 - For the centrifugal pump performance curve shown...Ch. 13 - Prob. 13.29PPCh. 13 - State some advantages of using a variable-speed...Ch. 13 - Describe how the capacity, efficiency, and power...Ch. 13 - If two identical centrifugal pumps are connected...Ch. 13 - Describe the effect of operating two pumps in...Ch. 13 - For each of the following sets of operating...Ch. 13 - For the 112313 centrifugal pump performance curve...Ch. 13 - For the 6817 centrifugal pump performance curve...Ch. 13 - Figure 13.52 shows that a mixed-flow pump is...Ch. 13 - Compute the specific speed for a pump operating at...Ch. 13 - Compute the specific speed for a pump operating at...Ch. 13 - Compute the specific speed for a pump operating at...Ch. 13 - Compute the specific speed for a pump operating at...Ch. 13 - It is desired to operate a pump at 1750 rpm by...Ch. 13 - Define net positive suction head (NPSH).Ch. 13 - Distinguish between NPSH available and NPSH...Ch. 13 - Describe what happens to the vapor pressure of...Ch. 13 - Describe why it is important to consider NPSH when...Ch. 13 - For what point in a pumping system is the NPSH...Ch. 13 - Discuss why it is desirable to elevate the...Ch. 13 - Discuss why it is desirable to use relatively...Ch. 13 - Prob. 13.50PPCh. 13 - If we assume that a given pump requires 7.50 ft of...Ch. 13 - Determine the available NPSH for the pump in...Ch. 13 - Find the available NPSH when a pump draws water at...Ch. 13 - A pump draws benzene at 25 C from a tank whose...Ch. 13 - Determine the available NPSH for the system shown...Ch. 13 - Determine the NPSH available when a pump draws...Ch. 13 - Determine the NPSH available when a pump draws...Ch. 13 - Determine the NPSH available when a pump draws...Ch. 13 - Determine the NPSH available when a pump draws...Ch. 13 - Repeat Problem 13.56 if the pump is 44 in below...Ch. 13 - Repeat Problem 13.59 if the pump is 27 in above...Ch. 13 - Repeat Problem 13.57 if the pump is 1.2 m below...Ch. 13 - Repeat Problem 13.58 if the pump is installed...Ch. 13 - A pump draws propane at F (sgfrom a tank whose...Ch. 13 - A pump draws propane at 45 C (sg =0.48 ) from a...
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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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