146 ORIFICE IN THE SIDE OF A CONICAL VESSEL. 

 Trr 8 r dx 



nr* r ax 



k A/20 Vx + Vx -f- ( 

 Va + x A/5 



Ska 



between the limits, x = a and x = x. 

 And making x = 0, (1) becomes 



(i) 



which is the time of emptying the upper half of the 

 vessel. (See Bland's Hydrostatics, p. 165.) 



83. Orifice in the Side of a Conical Vessel..^ 



hollow cone, base downward, whose vertical angle is 

 60, is filled with a liquid; to determine the place 

 where a small orifice must be made in its side, so that 

 the issuing liquid may strike the horizontal plane in 

 a point whose distance from the bottom of the vessel 

 is to the distance of the orifice from the top : : 5 : 4- 



Let AN = x, and AM = a ; 



then NM = a x, and AP = 

 Also by hypothesis we have 



- 

 A/3 



BO: AP :: 5:4; 



... BO = ~ 



2 A/3 



BR = PR tan 30 = 



.. _ a x 5x 



A/3 *" 2A/1 ~ 



a x 



V3 



4- 3; 

 A/3 



