Midterm Exam, Spring 2008 - Midterm Exam, A&EP 264,...

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90 minutes, open book and open notes 1. As a boat moves through the water, it creates a bow wave that moves with the speed of the boat. As a boat starts to move slowly through the water, one sees at first a number of wave crests and troughs moving down the side of the hull. As the boat speeds up, the wavelength gets longer and one sees fewer waves down the side. Eventually at some speed, the wave will be long enough so that there is just one wave down the side of the boat, with its crest at the bow, a trough in the middle, and another crest at the stern. This speed is called the hull speed. If the boat speed increases further, the wavelength increases so that the second crest moves back behind the boat. At that point the boat is literally sailing uphill and the resistance to its motion increases dramatically. A well-known relationship, originally derived by Lord Rayleigh (1842- 1919), relates the wave speed to the gravitational acceleration g and the wavelength λ. Given this fact, and the knowledge that a sailboat with a waterline length of 20 feet has
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Midterm Exam, Spring 2008 - Midterm Exam, A&EP 264,...

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