An open cylindrical tank 0.30 m in diameter and  0.80 m high partially filled with water is rotated  about its vertical axis at a speed of 240 rpm. What  would be the depth of water in the tank if the  cylindrical tank is brought to rest so that no water  will be spilled out? At what speed would it be  rotated so that 1.40 liters of water will be spilled  out? And at what speed would it be rotated so that  the pressure at the center of the bottom of the tank  is zero?

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter15: Fluid Mechanics
Section: Chapter Questions
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An open cylindrical tank 0.30 m in diameter and 
0.80 m high partially filled with water is rotated 
about its vertical axis at a speed of 240 rpm. What 
would be the depth of water in the tank if the 
cylindrical tank is brought to rest so that no water 
will be spilled out? At what speed would it be 
rotated so that 1.40 liters of water will be spilled 
out? And at what speed would it be rotated so that 
the pressure at the center of the bottom of the tank 
is zero? 

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