ExamI_s96 - EE 429 EXAM I 26 February 1996 Name ID DO NOT TURN THIS PAGE UNTIL YOU ARE TOLD TO DO SO Problem Weight Score 1 35 2 35 3 30 Total 100

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
EE 429 EXAM I 26 February 1996 Name: ID#: DO NOT TURN THIS PAGE UNTIL YOU ARE TOLD TO DO SO Problem Weight Score 1 35 2 35 3 30 Total 100 This test consists of three problems. Answer each problem on the exam itself; if you use additional paper, repeat the identifying information above, and staple it to the rest of your exam when you hand it in. The quality of your analysis and evaluation is as important as your answers. Your reasoning must be precise and clear; your complete English sentences should convey what you are doing. 1
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Problem 1: (35 points) Fluid fows play an important role in many physical systems. As an example, hydraulic fuid fows are used to move the control sur±aces on airplanes. In this problem you will analyze the water tank system shown in Fig. 1. Water enters at the top o± the tank with a mass fow rate o± ω in ( t ) [Kg/sec] and exits at the bottom o± the tank with fow rate ω out ( t ) [Kg/sec]. The fuid level h ( t ) satis²es ˙ h ( t )= 1 A T ρ ( ω in ( t ) - ω out ( t ) ) where A T [m 2 ] is the cross-sectional area o± the tank and ρ [Kg/m 3 ] is the density o± water. This continuity relation is simply a statement o± the conservation o± matter. I± the input and output fow rates are equal, then the fuid level remains constant. On the other hand, i± ω in out , then the fuid level h ( t ) increases. The fuid exits the tank through a discharge nozzle with cross-sectional area A N . The output fow rate is given by Toricelli’s equation ω out ( t ρA N ± ² ² ³ 2 g 1 - A 2 N A 2 T ´ h ( t ) , where g =9 . 8 m/sec 2 (use the symbol g in your analysis, do not substitute the numeric value ±or g ). ± ² ± ³ . .. ´ ´ ´ ´ ´ ´ ´ ´ ´ ´ ´ ´ ´ ´ ´ ´ ´ ´ ´ ´ ´ ´ ´ ´ ´ ´ ´ ´ ´ ´ ´ ´ ´ ´ ´ ´ ´ ´ ´ ´ ´ ´ ´ ´ ´ ´ ´ ´ ´ ´ ´ ´ ´ ´ .
Background image of page 2
Image of page 3
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 07/23/2008 for the course EE 482 taught by Professor Schiano during the Spring '08 term at Pennsylvania State University, University Park.

Page1 / 12

ExamI_s96 - EE 429 EXAM I 26 February 1996 Name ID DO NOT TURN THIS PAGE UNTIL YOU ARE TOLD TO DO SO Problem Weight Score 1 35 2 35 3 30 Total 100

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online