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# hw3 - 16.333 Prof J P How Handout#3 Due 16.333 Homework...

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16.333 Handout #3 Prof. J. P. How Oct 12, 2004 Due: Oct 26, 2004 16.333 Homework Assignment #3 Please include all code used to solve these problems. 1. What is the wing surface area of the “Peacemaker” B-36? 2. For the F-4C aircraft we get the data on the following page from the tables. There are three ﬂight conditions. For each ﬂight condition: (a) Find the phugoid and short period frequencies. (b) Comment on how these mode frequencies change with the ﬂight condition, and how do the numbers compare with the B747 analyzed in class? (c) Find the Spiral, Dutch roll, and Roll modes frequencies. Comment on how these mode frequencies change with these ﬂight conditions. How do the numbers com- pare with the B747 analyzed in class? 3. The longitudinal model approximations are thought to be significantly better than those developed for the lateral dynamics. (a) The Dutch roll approximate model is obtained by looking at sideslip and yawing motions, neglecting the rolling motion. Show that the resulting model is of the form: � � v ˙ Y v /m U o v Y δ r /m = + δ r r ˙ ( I + N v /I ( I + N r /I r ( I + N δ r /I zx L v zz ) zx L r zz ) zx L δ r zz ) For the B747, examine this conjecture by plotting the following transfer functions for the actual and

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