hw2 Alexandre Megretski

# hw2 Alexandre Megretski - 16.333 Prof J P How Handout#2 Due...

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16.333 Handout #2 Prof. J. P. How Sept 28, 2004 Due: Oct 12, 2004 16.333 Homework Assignment #2 Please include all code used to solve these problems. 1. Date of Lindbergh’s famous ﬂight? When was the first solo ﬂight across the Pacific? 2. Sketch-plot versus time the Euler angles for the various maneuvers starting at Φ = Θ = Ψ = 0 at t = 0.: (a) Half an inside loop followed by a snap roll at the top (Immelmann turn). (b) outside loop (c) coordinated turn (constant vehicle speed) 3. Consider a jet transport at 40,000 ft with the data given below: (a) Find the short period and phugoid roots. Be careful with the dimensionalization of these coeﬃcients (see Reid, page 119, 207). Compare the phugoid frequencies with Lanchester’s approximation. (b) Plot the phugoid response and the short period time response (i.e., find initial conditions that excite each of these modes separately). (c) Graph the equivalent response plots in Figs. 6–8, 6–10, 6–12, and 6–13. Are the results similar? Basic aircraft data Mach M =0.62 Nominal speed U 0 = 600 [ft/s] Density ρ = 5 . 85 × 10 4 [slug/ft 3 ] Tail distance l t /c = 2 . 89

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