612 The Mass carried forward by a Vortex. 



Hence to the lowest order 



»-EK?) 



also (rad. gyr.) 2 = a 2 + f& 2 = a 2 to lowest order. 



The numerical values for the four cases considered are 

 given in the following Table. 



b/a 



a/c 



b/c 



U/U 



vo\./?n 

 E 3 /E 1 



E /E, 



9. 



10 .. 



15 ... 



20 ... 

 25 .. 



30 .. 

 35 .. 

 40 .. 

 45 ... 

 50 .. 

 55 .. 

 60 .. 

 65 .. 

 70 ... 

 75 .., 

 77,30 

 80 ... 

 82, 30 



85 ... 



86 ... 

 86,30 



87 ... 

 87,30 



89 . 

 89,30 



IT. 



•277 



•584 







•6745 



9-72 



6-139 



1206 



III. 



•05 

 4-395 

 •220 



•437 







•9356 



3009 



11-72 



25-86 



Table for 

 X. 



.. -000527 

 001793 

 004309 

 008565 

 015139 

 0247U 

 0382 

 0564 

 0811 

 1140 

 1579 

 2173 

 2984 

 4145 

 4931 

 5931 

 7270 

 9214 

 0302 

 0957 

 1717 

 2619 

 3726 

 7290 



2-0641 



V. 



•0116 

 11-64 

 •135 

 •215 

 



1-4823 

 452 

 39-92 

 107-3 



* = sin0. 



X2/3. 



00652 



014759 



026479 



041861 



061197 



084838 



1134 



1471 



1873 



2351 



2921 



3614 



4465 



5559 



6241 



7059 



8085 



9469 



0200 



0628 



1114 



1677 



2351 



4405 



6211 



VI. 



•0046 

 21-56 

 •099 

 •133 



-•00985 

 1-8291 

 1181 

 96-21 

 231-6 



logX. 



47218 



3-25358 



3j63437 



3-93272 



2-18009 



2-39289 



2-58206 



2-75128 



2-90902 



1-05690 



119838 



1-33706 



1-47480 



1-61752 



1-69293 



1-77312 



1-86153 



1-96444 



•01288 



•03909 



•06881 



•10102 



•13754 



•23779 



•31473 



The University, Sheffield, 

 July. 1919. 



