EXAMPLES. 



which gives the pressure at any point in terms of the angu- 

 lar velocity and of the co-ordinates of the point referred to 

 the axis and vertex of the paraboloid. (See Besant's Hy- 

 drostatics, p. 152.) 



COB. If Q be lower than 0, y is negative, and (2) 



becomes 



^). (3) 



EXAMPLES. 



1. A tube ABCD, the equal branches of which are verti- 

 cal, and BC horizontal, is filled with liquid and made to 

 rotate uniformly about the axis of AB ; 

 find how much liquid will flow out of the 

 endD. 



The liquid will flow out until the sur- 

 face in AB is the vertex of a parabola 

 passing through D, and having its axis 



vertical and laths rectum = -| (Art 21). 



If then be the vertex of the parabola, 

 we shall have 



which gives AO, and thus determines the quantity which 

 flows out. 



If, however, AO be greater than AB, i. e., if be below 

 B, at 0', for instance, the surface of the liquid will be in 

 BC, at P. We shall then have, 



