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An open cylindrical tank with diameter of 3 ft is filled with a liquid to 1...

An open cylindrical tank with diameter of 3 ft is filled with a liquid to 1 ft depth when the tank is stationary. The tank is rotated about its centerline, causing the water level to drop in the center and rise towards the walls of the tank. Calculate a.the angular velocity in rpm at which the tank bottom will first be exposed andb.the maximum water height in ft in the tank at this velocity.

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