It was once suggested that the mirror for an astronomical telescope could be produced by rotating a flat disk of mercury at a prescribed angular velocity ω about a vertical axis. (a) What is the equation of reflection (free) surface so obbtained? (b) How fast must the disc be rotated to produce a 10cm focal length mirror?

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It was once suggested that the mirror for an astronomical telescope could be produced by rotating a flat disk of mercury at a prescribed angular velocity ω about a vertical axis.
(a) What is the equation of reflection (free) surface so obbtained?
(b) How fast must the disc be rotated to produce a 10cm focal length mirror?    

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