Pm(s)+,-320s + 1Q'(s)Figure E6.7a3022Pm (%)18х1410406080100Time (min)Figure E6.7b(a) Determine Q'(t).(b) What are the values of K, t, and 7?(c) What is the overall transfer...

Extracted text: Exercises 101 made on the overall system. The actual output P (not Pm) resulting from a step change in P from 4 to 6 psi is plotted in Fig. E6.7b. R'(s) + 25ts +1 P'(s)- >Pm(s) +, -3 20s + 1 Q'(s) Figure E6.7a 30 22 Pm (%) 18 х 14 10 40 60 80 100 Time (min) Figure E6.7b (a) Determine Q'(t). (b) What are the values of K, t, and 7? (c) What is the overall transfer function for the measurement device P(s)/P'(s)? (d) Find an expression for the overall process gain. A L1 d: 6.7 A pressure-measuring device has been analyzed and can be described by a model with the structure shown in Fig. E6.7a. In other words, the device responds to pressure changes as if it were a first-order process in parallel with a second-order process. Preliminary tests have shown that the gain of the first-order process is -3 and the time constant equals 20 min, as shown in Fig. E6.7a. An additional test is 20 26