The definition of root locus.

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Answer 1

Question

Chapter 8, Problem 1RQ

To determine

The definition of root locus.

Expert Solution & Answer

Explanation of Solution

Root locus is a plot of system’s closed loop poles which is defined in terms of gain. From the root locus plot, the closed loop system stability is obtained for a given open loop transfer function for a unity feedback system. The plot of root locus is represented on a graph and it determines the behaviour of roots that changes with the change in gain of a system. Along with stability, it is also used to determine the damping ratio as well as natural frequency of the feedback system. Root locus can be obtained for both positive and negative feedback system.

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USE MATLAB ONLY provide typed code Turbomachienery . GIven: vx = 185 m/s, flow angle = 60 degrees, R = 0.5, U = 150 m/s, b2 = -a3, a2 = -b3 Find: velocity triangle , a. magnitude of abs vel leaving rotor (m/s) b. flow absolute angles (a1, a2, a3) 3. flow rel angles (b2, b3) d. specific work done e. use code to draw vel. diagram Use this code for plot % plots Velocity Tri. in Ch4 function plotveltri(al1,al2,al3,b2,b3) S1L = [0 1]; V1x = [0 0]; V1s = [0 1*tand(al3)]; S2L = [2 3]; V2x = [0 0]; V2s = [0 1*tand(al2)]; W2s = [0 1*tand(b2)]; U2x = [3 3]; U2y = [1*tand(b2) 1*tand(al2)]; S3L = [4 5]; V3x = [0 0]; V3r = [0 1*tand(al3)]; W3r = [0 1*tand(b3)]; U3x = [5 5]; U3y = [1*tand(b3) 1*tand(al3)]; plot(S1L,V1x,'k',S1L,V1s,'r',... S2L,V2x,'k',S2L,V2s,'r',S2L,W2s,'b',U2x,U2y,'g',... S3L,V3x,'k',S3L,V3r,'r',S3L,W3r,'b',U3x,U3y,'g',...... 'LineWidth',2,'MarkerSize',10),... axis([-1 6 -4 4]), ... title('Velocity Triangle'), ... xlabel('x'),yl

Consider a 12 cm internal diameter, 14 m long circular duct whose interior surface is wet. The duct is to be dried by forcing dry air at 1 atm and 15oC throught it at an average velocity of 3m/s. The duct passes through a chilled roo, and it remains at an average temp of 15oC at all time. Determine the mass transfer coeeficient in the duct.

Consider a 5m by 5m wet concret patio with an average water film thickness of .2mm. Now wind at 50 km/h is blowing over the surface. If the air is at 1 atm, 15oC and 35 percent relative humidity, determine how long it will take for the patio to completely dry.

Answer 2

Question

Chapter 8, Problem 1RQ

To determine

The definition of root locus.

Expert Solution & Answer

Explanation of Solution

Root locus is a plot of system’s closed loop poles which is defined in terms of gain. From the root locus plot, the closed loop system stability is obtained for a given open loop transfer function for a unity feedback system. The plot of root locus is represented on a graph and it determines the behaviour of roots that changes with the change in gain of a system. Along with stability, it is also used to determine the damping ratio as well as natural frequency of the feedback system. Root locus can be obtained for both positive and negative feedback system.

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Answer 3

Question

Chapter 8, Problem 1RQ

To determine

The definition of root locus.

Expert Solution & Answer

Explanation of Solution

Root locus is a plot of system’s closed loop poles which is defined in terms of gain. From the root locus plot, the closed loop system stability is obtained for a given open loop transfer function for a unity feedback system. The plot of root locus is represented on a graph and it determines the behaviour of roots that changes with the change in gain of a system. Along with stability, it is also used to determine the damping ratio as well as natural frequency of the feedback system. Root locus can be obtained for both positive and negative feedback system.

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02:19

Answer 4

Question

Chapter 8, Problem 1RQ

To determine

The definition of root locus.

Expert Solution & Answer

Explanation of Solution

Root locus is a plot of system’s closed loop poles which is defined in terms of gain. From the root locus plot, the closed loop system stability is obtained for a given open loop transfer function for a unity feedback system. The plot of root locus is represented on a graph and it determines the behaviour of roots that changes with the change in gain of a system. Along with stability, it is also used to determine the damping ratio as well as natural frequency of the feedback system. Root locus can be obtained for both positive and negative feedback system.

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Answer 5

Chapter 8, Problem 1RQ

To determine

The definition of root locus.

Expert Solution & Answer

Explanation of Solution

Root locus is a plot of system’s closed loop poles which is defined in terms of gain. From the root locus plot, the closed loop system stability is obtained for a given open loop transfer function for a unity feedback system. The plot of root locus is represented on a graph and it determines the behaviour of roots that changes with the change in gain of a system. Along with stability, it is also used to determine the damping ratio as well as natural frequency of the feedback system. Root locus can be obtained for both positive and negative feedback system.

Answer 6

Chapter 8, Problem 1RQ

To determine

The definition of root locus.

Expert Solution & Answer

Explanation of Solution

Root locus is a plot of system’s closed loop poles which is defined in terms of gain. From the root locus plot, the closed loop system stability is obtained for a given open loop transfer function for a unity feedback system. The plot of root locus is represented on a graph and it determines the behaviour of roots that changes with the change in gain of a system. Along with stability, it is also used to determine the damping ratio as well as natural frequency of the feedback system. Root locus can be obtained for both positive and negative feedback system.

Answer 7

Chapter 8, Problem 1RQ

To determine

The definition of root locus.

Answer 8

Expert Solution & Answer

Explanation of Solution

Root locus is a plot of system’s closed loop poles which is defined in terms of gain. From the root locus plot, the closed loop system stability is obtained for a given open loop transfer function for a unity feedback system. The plot of root locus is represented on a graph and it determines the behaviour of roots that changes with the change in gain of a system. Along with stability, it is also used to determine the damping ratio as well as natural frequency of the feedback system. Root locus can be obtained for both positive and negative feedback system.