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AA311.Homework2

AA311.Homework2 - to give an approximate answer but clearly...

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AA311 Homework 2. Due October 10, 2011 Give all your answers in SI units. 1. (Problem 2.1 in [1]) Consider the low-speed flight of the Space Shuttle as it is nearing a landing. If the air pressure and temperature at the nose are p = 1 . 2 atm and T = 300 K, respectively, what are the density and specific volume? 2. A steel SCUBA cylinder has the following parameters: Rated pressure: p = 3 , 100 psi (pounds per square inch). Fill volume: v = 100 cubic feet. Empty weight: W = 33 lbs. The tank is filled to its rated pressure at T = 20 C. What is the mass of the air inside the cylinder? A diver goes for a planned dive at 60 feet depth (the maximum limit after a PADI open-water certification). Suppose that the air in the tank would be sufficient for 90 minutes on land at sea level. How much faster does the diver use up the air at the planned depth? You may simplify your analysis
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Unformatted text preview: to give an approximate answer, but clearly state the assumptions you used in your calculations. 3. Consider a ﬂat plate as shown in Figure 1, with sides x = 3 m and y = 2 m . Assume that the pressure distribution over the top of the surface follows p ( x,y ) = αx 2 + βy, where the values of the constants are α = 3 N/m 4 , and β = 1 N/m 3 . Calculate the resulting total pressure force exerted on the ﬂat plate. Figure 1: Pressure distribution over a ﬂat plate. 4. Write a Matlab script that plots the variation of pressure, density and temperature between altitudes 0-10 km. References [1] J. D. Anderson. Introduction to Flight . McGraw-Hill, New York, NY, seventh edition, 2011. 1...
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