Control ENG HW_Part_15

Control ENG HW_Part_15 - Y(t = A(1 e t Y(1.2 = 50(1 e 1.2 1...

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) 1 ( ) ( / τ t e A t Y - - = 50 ) 1 ( 50 ) 2 . 1 ( 1 / 2 . 1 + - = - e Y Y(1.2) = 84.9 deg C 5.10 In Problem No 5.9 if at, t = 1.5 min thermometer having a time constant of 1 minute is initially at 50 deg C.It is immersed in a bath maintained at 100 deg C at t = 0.Determine the temperature reading at t = 1.2 min. At t = 1.5 C Y ° = 843 . 88 ) 5 . 1 ( Max temperature indicated = 88.843 deg C AT t = 20 min ) 1 ( 843 . 13 843 . 88 1 / 8 . 18 - - - = e T T = 75 Deg C. 5.11 A process of unknown transfer function is subjected to a unit impulse input. The output of the process is measured accurately and is found to be represented by the function Y(t) = t e -t . Determine the unit step response in this process. X(s) = 1 Y(t)
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Control ENG HW_Part_15 - Y(t = A(1 e t Y(1.2 = 50(1 e 1.2 1...

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