Jonathan P. How

Jonathan P. How - 16.333 Handout #1 Prof. J. P. How Sept...

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Unformatted text preview: 16.333 Handout #1 Prof. J. P. How Sept 14, 2004 Due: Sept 28, 2004 16.333 Homework Assignment #1 1. Consider a glider ying in a vertical plane at an angle to the horizontal. As we discussed in class, for a glider < 0. In a steady glide, the force balance is given by: D + W sin = (1) L W cos = (2) The kinematic equations for the system give us that the distance covered along the ground satisfies x = V cos and h = V sin . For small we showed that the ight velocity that gives the attest glide is given by 2 W K V fg = 4 S C D where C D = C D + KC 2 L . (a) Show that, for a given height, the distance covered with respect to the ground satisfies dx 1 = = E R = E h dh where E = C L /C D and R is the range (assume a constant angle of attack so that E is constant during the glide). What speed does this suggest we should glide at to maximize the range? (b) Now consider the sink rate h s = h . Show that DV h s V = 2 W C D 3 / 2 W S C L This suggests that the sink...
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Jonathan P. How - 16.333 Handout #1 Prof. J. P. How Sept...

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