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VORTEX 
When a vessel is partly filled with water and is rotated at a certain rpm about its vertical axis, the surface of the water creates a parabolic 
curve. 
 
 
 
Example: 
An open cylindrical tank, 1.20 meters in diameter and 3 meters in height, is filled with fresh water 3/5 full. The tank is then rotated at a 
certain speed. Calculate the speed, in rpm required in which: 
(a) Water will just reach the rim of the tank. 
(b) The depth of the water is at zero 
(c) There is no water within 50 cm diameter at the bottom of the tank. 
SOLUTION: 
 
(a) water will just reach the rim of the tank. 
 
(a) the depth of the water is at zero 
 
(a) there is no water within 50 cm diameter at the bottom of the tank. 
 
Example: 
An open cylindrical tank, 1.0 meter in diameter and 4 meters in height, is filled with fresh water 3 meters deep. The tank is then rotated at a 
certain speed. Calculate the constant speed, in rpm required in which: 
(a) Water will just reach the rim of the tank. 
(b) Water will attain a depth of 0.25 meter at the center. 
(c) Water spill out is equal to 190 Liters. 
SOLUTION: 
(a) Water will just reach the rim of the tank. 
 
(b) Water will attain a depth of 0.25 meter at the center. 
 
(c) Water spill out is equal to 190 Liters. 
 
 
 
 

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Vortex 1