140 



THE HORIZONTAL RANGE. 



SCH. The correctness of this theorem can also be shown 

 by the following experiment. If in the vessel (Fig. 34) an 

 orifice K or K be made, directed vertically upwards, the 

 velocity of the jet K or R is such as to carry the particles 

 of liquid up nearly to the same level as the surface of the 

 liquid in the vessel. Practically the resistance of the air 

 and friction in the conducting tube destroy a portion of 

 this velocity. 



EXAMPLES. 



1. With what velocity will water issue from a small 

 orifice 16-^ ft. below the surface of the liquid ? 



Ans. 32 ft. 



2. A vessel has in it a hole an inch square ; water is kept 

 in the basin at a constant level of 9 ft. above the hole ; 

 what is the outflow in one hour? Ans. 600 cu. ft. 



3. What is the discharge per second through an orifice 

 of 10 square inches, 5 ft. below the surface of the liquid? 



Ans. 2152 cu. ins. 



77. The Horizontal Range of a Liquid Issuing 

 through a very Small Orifice in the Vertical Side 



of a Vessel. Let ABCD be a vessel filled with a liquid, 



having its side BO vertical, M a small 



orifice in the side of the vessel, MH 



the parabola described by the liquid, 



and CH the horizontal range. On 



BC describe the semicircle BFO, and 



through M draw MN perpendicular 



to BC. If the liquid issue horizon- 



tally from the orifice M, the equation 



of its path is (Art. 76, Cor. 1), 



H 



x* = 4%, (1) 



in which h = BM, the height of the surface above the 



