50 BULLETIN 835, U. S. DEPARTMENT OF AGRICULTURE. 



Table 37. — Flume 31. 























Vc-'= 





X 



(days) 



V 

 (inches) 



log X 

 (log 

 days) 



logy 



(log 



inches) 



Z/i 



y-.= 2/1 

 - v 



legya 



J/2 +5.5 



leg (;v 2 



+ 5.5) 



9.C31 

 + 1.06 

 leg X 



21.39 



X?-* — 



(0.43 



X 1.C6 



— 5. 5) 



A 



1 



20.00 







1.301 



20.00 





















2 



4 

 5 

 

 7 

 8 

 9 



10 

 11 

 12 

 13 



28.45 

 33.75 

 37.90 

 41.20 

 44. 60 

 47.00 

 49.15 

 51.30 

 53.30 

 55.60 

 57.50 

 59.05 



.301 



.477 



.602 



.699 



.778 



.845 



.903 



.954 



1.000 



1.041 



1.079 



1.114 



1.454 

 1.528 

 1.579 

 1.615 

 1.649 

 1.672 

 1.692 

 1.710 

 1.727 

 1.748 

 1.750 

 1.771 



28.21 

 33.96 

 37.24 

 40.71 

 43.80 

 46.59 

 49.14 

 51.51 

 53.73 

 55.81 

 57.79 

 59.67 



-.24 



.21 



-.66 



.51 



-.40 



-.41 



-.01 



.21 



.43 



.21 



.29 



.62 



9.:;sii 

 9.322 

 9.820 

 9.708 

 9.002 

 9.613 





 9.322 

 9.633 

 9.322 

 9.462 

 9.792 







! 





I 





1 



i | 



! 



i 













i 





I 





i i 

















6.12 



.793 



.812 



58.68 



-0.37 



14 



60.03 



1.146 



1.778 



61.47 



1.44 



.158 



6.94 



.841 



.846 



59.96 



-0.07 



15 



61.40 



1.176 



1.788 



63.19 



1.79 



.253 



7.29 



' .863 



.878 



61.14 



-0.26 



16 



62.35 



1.204 



1.794 



64.84 



2.49 



.396 



7.99 



.903 



.907 



62.37 



+0.02 



17 



63.25 



1.230 



1.801 



66.43 



3.18 



5.07 



8.68 



.939 



.935 



63.32 



+ 0.07 



18 



64. 15 



1 . 255 



1.807 



67.97 



3.82 



.582 



9.32 



.969 



.962 



64.31 



+ 0.16 



19 



65.20 



1.279 



1.814 



69.46 



4.26 



.629 



9.76 



.989 



.987 



65.26 



+0.05 



20 



66.15 



1.301 



1.821 



70.89 



■ 4.74 



.675 



10.24 



1.010 



1.010 



66.15 



o.co 



21 



67.10 



1.322 



1.827 



72.29 



5.19 



.715 



10.69 



1.029 



1.033 



67.00 



-0.10 



22 



67.90 



1.342 



1.832 



73. 65 



5. 75 



.780 



11.25 



1.053 



1.053 



67.85 



-0.05 



24 



69.35 



1.380 



1.841 



76.26 



6.91 



.840 



12.41 



• 1.094 



1.094 



69.34 



-0.01 



25 



70.30 



1.398 



1.847 



77.51 



7.21 



.858 



12.71 



1.104 



1.114 



70.01 



-0.29 



27 



71.45 



1.431 



1.854 



79.94 



8.49 



.929 



13. 99 



1.146 



1.148 



71.38 



-0.07 



59 



72.60 



1.462 



1.861 



82.25 



9.65 



.985 



15.15 



1.180 



1.181 



72.58 



-0.02 



30 



73.02 



1.477 



1.863 



83.38 



10.36 



1.015 



15.86 



1.200 



1.196 



73.18 



+ 0.16 



32 



74.35 



1.505 



1.871 



85.56 



11.21 



1.050 



16.71 



1.223 



1.226 



74.23 



-0.12 



35 



75. 80 



1.544 



1.880 



88.68 



12.88 



1.110 



18.38 



1.264 



1.267 



75.69 



-0.11 



38 



77.25 



1.580 



1.888 



91.64 



14.39 



1.158 



19. 89 



1.299 



1.306 



76.91 



-0.34 



'.3 



78.90 



1.633 



1.897 



96.29 



17.39 



1.240 



22.89 



1.360 



1.363 



78.72 



-0.18 



46 



79.95 



1.663 



1.903 



98.93 



18.98 



1.278 



24. 48 



1.389 



1.394 



79.66 



-0.29 



49 



80. GO 



1.690 



1.906 



101.45 



20.85 



1.319 



26. 35 



1.421 



1.423 



80.48 



-0.12 



55 



SI. 90 



1.740 



1.913 



106. 25 



24.35 



1.3S7 



29.85 



1.475 



1.475 



81.90 



0.03 



* ye, distances in inches computed by using the formula derived for flume 31. 



In table 37 are given the data obtained from flume 31, the 

 logarithms of x and y being tabulated. Figure 9 shows that the 

 logarithmic curves between log %, log y, and x and y are not straight, 

 so that the curve is not a simple parabola or exponential curve. The 

 curve between log x and log y is straight up to 12 days. Thus the 

 curve is a simple parabola for values of x less than 12. The 12 sets 

 of observations are divided into two groups of six each and the 

 formula derived as explained for flume No. 12. 



lo£ 



2 6 =2.857 



2 f — 5.823 



A =2.966 



2.966 

 —8.680 



:0.40 



8.680 xn: 



log yjl 6 = 9.126 

 S = 10.308 



A = 1.182 



log ^£,,=19.435 



3.472 



A =15.962 



15.962-^-12= 1.330=log a 



log Vl ~ 1.330+ 0.40 log x 

 2^=21.39 x 0A 



