Control ENG HW_Part_30

Control ENG HW_Part_30 - = H 1(s k3 = 2 p1 s(k1 s k 2 s 1...

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= ) 1 ( ) ( ) ( 2 2 1 3 1 1 + + = s k s k k s p s H Where ; 1 g L k = ; 8 2 gD k ρ μ = ; 1 3 g k = Thus ) 1 2 ( ) ( ) ( 2 2 1 1 + + = s s R s p s H ξτ τ Where ; 1 g R = ; 2 g L = ; 8 2 gD = Now ; ) g L b = 1 4 2 1 . 8 ) - = = g L gD gD c ξ Steady state gain ; 1 ) ( 0 g R s G Lt S = = Comment : a) is the time period of a simple pendulum of Length L. b) is inversely proportional to , smaller the ,the system will tend to move from under damped to over damped characteristics. 8.5 Design a mercury manometer that will measure pressure of upto 2 atm, and give responses that are slightly under damped with = 0.7 Parameter to be decide upon : .a) Length of column of mercury .b) diameter of tube.
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Considering h max to be the maximum height difference to be used ; 13600 * 81 . 9 10 * 01325 . 1 * 2 5 max max 1 = = = h gh p ρ ; 51 . 1 max m h = Assuming
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This note was uploaded on 11/13/2011 for the course COP 4355 taught by Professor Koslov during the Spring '10 term at University of Florida.

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Control ENG HW_Part_30 - = H 1(s k3 = 2 p1 s(k1 s k 2 s 1...

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