HYDRODYNAMICS. 



515 



' of In the preceding Table the signs + and indicate 

 Wittr in that the number of seconds is either a little too small 

 d or a little too great 



It appears from the above Table, that the time suc- 

 cesrively employed by the water in running through 

 spaces of 21 feet each, are as the numbers'?, 3, 5, 6, 

 7 + , which form nearly an increasing arithmetical pro- 

 gression, the difference of whose terms is nearly 1 , se that 

 the series may be continued, and the time determined 

 in which the water will run through any number of 

 feet The two serieses of the times and spaces may al- 

 so be continued for the other experiments in the Table, 



4 E 

 by means of the formula I = 1* X ^r-^m> where E 



u the space described uniformly in the time I, with a 

 velocity due to the height H. Botsut has calculated 



the times for the last line of the Table, or for the whole Motion of 



length of 105 feet These times are, WstCT in 



Pipes and 



Canals. 

 Calculat I ._^ - 



ed by the { 6".350, 7".834, 1 1 '.330, 6".350, 7*. 1 84, 1 1".330 



formula, J 



Observed, 2 3 28 38 16J 20 26 



from which it appears that the velocity of the water in 

 the canal is very much retarded by the different resist- 

 ances which it experiences ; and that the retardation is 

 less as the height of the orifice is increased. 



The following experiments were made on the motion Bossut** - 

 of water in inclined canals. The inclination of the ca- pthmenu 

 nal is the depression of its lower extremity below a ho- on inclined 

 rizoutal line which passes through its upper extremity. can 1 * > 



TABLE VII I. Containing the Velocity of Water M a Rectangular inclined Canal 105 Feet long, and under dif- 

 ferent Altitude* of Fluid in the Retenoir. 



