Practice Final Problem 10 solution

Practice Final Problem 10 solution - (Fall 2002) Water with...

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Name________________________ Page 1 of 2 12/8/2005 (Fall 2002) Water with weight density 3 f 62.4 lb / ft flows through a linear resistance of 5 f 400 lb s / ft R = to a tank of area 2 .624 ft A = through a very short tube (no inertance). The applied pressure comprises an infinite series of pulses, each of magnitude 2 f 124.8 lb s/ft , 2 seconds apart. Give units for all numerical answers. a) Evaluate the compliance of the tank. 2 5 3 f f .624 ft ft .01 62.4 lb /ft lb A C g ρ = = = b) Model the system with a bond graph. From the graph, in P q q R RC = - d Or in P q q RC R + = d c) Evaluate any critical time constant or natural frequency. Noting that the system equation is of the form ( ) x x f t τ + = d , the critical time constant is 5 f 2 f lb s ft 400 .01 4 s ft lb RC = = = . d) Determine the average applied pressure and the resulting average depth of the water in the tank. The average input is found by averaging over a single input period. Thus ( ) / 2 / 2 t T t T avg P t dt P T
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This note was uploaded on 02/29/2008 for the course ME 242 taught by Professor Perreira during the Spring '08 term at Lehigh University .

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Practice Final Problem 10 solution - (Fall 2002) Water with...

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