The forward motion of an aircraft in level flight is reduced by two kinds of forces

Chapter 4, Problem 52

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The forward motion of an aircraft in level flight is reduced by two kinds of forces, known as induced drag and parasite drag. Induced drag is a consequence of the downward deflection of air as the wings produce lift. Parasite drag results from friction between the air and the entire surface of the aircraft. Induced drag is inversely proportional to the square of speed and parasite drag is directly proportional to the square of speed. The sum of induced drag and parasite drag is called total drag. The graph in Figure 4.50 shows a certain aircrafts induced drag and parasite drag functions. (a) Sketch the total drag as a function of air speed. (b) Estimate two different air speeds which each result in a total drag of 1000 pounds. Does the total drag function have an inverse? What about the induced and parasite drag functions? (c) Fuel consumption (in gallons per hour) is roughly proportional to total drag. Suppose you are low on fuel and the control tower has instructed you to enter a circular holding pattern of indefinite duration to await the passage of a storm at your landing field. At what air speed should you fly the holding pattern? Why?

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