342 



Section II 

 Analysis of Experimental Data 



In this section some experimental data obtained by 

 A. Arons and his co-workers at Vi/oods Hole Oceanographlc 

 Institution will be analyzed. It will be shown that the 

 theoretical values of the period agree very well with the 

 experimental data while the values for pressure and mi- 

 gration do not agree as well. 



The experiments consisted of exploding three hundrec 

 grams Tetryl at various depths beneath the siirface in 

 water 23.5 feet deep. Table 1 shows the values observed 

 for the period of bubble oscillation. 



Before these data can be compared with the theoretical 



results, the value of E must be known. V/e shall find E 



by fitting a straight line to the points obtained when 



TZ is plotted against <p^Z~ ' . Table 2 gives the val- 



- 5/6 ° '^1 o ° -1/3 



ues of TZq and the corresponding values of ^^nZ" ' . 



A straight line is fitted to these values by the 



method of least squares. The equation obtained is 



(2.1) TZq/^ = 3.876 - 16.96 'Pi^l'^^^ ' 



Figure 8 shows how closely the straight line fits 

 the data. This closeness of fit is a confirmation of the 

 theory. 



When equation (2.1) is compared with (1.35), we find 

 thft 



(2.2) a = 3.876, p = 16.96. 



