Focal length and angular velocity A cylindrical container, partially filled with

Chapter 10, Problem 10.7.38

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Focal length and angular velocity A cylindrical container, partially filled with mercury, is rotated about its axis so that the angular speed of each cross section is . From physics, the function f, whose graph generates the inside surface of the mercury (see the figure), is given bywhere k is a constant. Determine the angular speed that will result in a focal length of 2 feet.

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