346 MISCELLANEOUS STUDIES 



in which the last members of equations (24) and (25) are approxi- 



/ k m \ 

 matolv correct if ( - - ) is small. 



Substituting the numerical values of a r a 2 a z and a from page 345 

 we have 



B = Ejm k * = 29 ' 5k * < 27 > 



From equations (24) and (27) neglecting -( -) we have the first 



2 ^ a. ' 



approximation 



29.5*^ X 1-910 X (.47) = -3.35 (28) 



from which 



3 35 



= 



'' 29.5 X 1.910 X. 47 

 Therefore 



1 + 1/2 (JWY = 1.0292 



fc^i = 1.0292 X -1265 = .1302 (29) 



and 



29.5 X. 1302 _ 3.84 



Similarly from equations (25) and (27) we have 



29.5 k imi X 1.910 X -0128 = .175 



from which 



17n 

 if m __ _ 2427 



" 29.5 X 1.190 X .0128 " 



Therefore 



i 2 = 1.1075 





1c l m l = 1.1075 X .2427 = .2688 (31) 



and 



29.5 X .2688 7.927 



B = - = - . ( oZ ) 



Wtj Wl t 



The difference between the values of B and k l found by these two 

 methods of computation is due to the fact that the ratio between the 



