A circular disk of radius is used in an evaporator and is rotated in a vertical plane.

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A circular disk of radius is used in an evaporator and is rotated in a vertical plane. If it is to be partially submerged in the liquid so as to maximize the exposed wetted area of the disk, show that the center of the disk should be positioned at a height r/√1 + π2 above the surface of the liquid.
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