KENNELLY. — AN APPROXIMATE LAW OF FATIGUE. 



307 



TABLE VII. 



QtTAXTITATIVE RESULTS OF ANALYSIS OF RoWING RECORDS. 



It i.s seen that for any given distance over 1 mile, the speeds of 85, 

 4s, and singles are in the ratio lo.92 : 13.02 : 12.16, or 100 : 81.8 : 

 76.4, to the degree of approximation supported by the analysis. 



Men Swimming. 



The data for swimming have been taken from the world's records 

 given on page 252 of "The World Almanac" for 1905, setting forth 

 38 events from 25 yards to 4000 yards by amateurs and by profes- 

 sional swimmers of all nations. These data appear in columns I and 

 II of Table VIII. The remaining columns work from these data as in 

 preceding tables. 



In Figure 12, log V is plotted against log Z, and also log F against 

 log L. The ascending time-distance straight line is drawn through the 

 220-yard (201.2-meter) record point, and thence in a direction to con- 

 form fairly well with the other record points. It is drawn to make an 

 angle of 48°. 22' or tan~^ | with the axis of distances. The descending 

 straight line of speed- distance is likewise drawn through the 220-yard 

 record point, and to make an angle of —7° 1' 30"or tan^^ — | with 

 the same axis. 



Referring to the latter line, it will be observed that there is no visi- 

 ble retardation of speed over the short courses even down to 25 yards 

 (22.9 meters). On the contrary, the speeds for the first four events, 

 up to 60 yards (55 meters), inclusive, are higher than correspond to the 

 logarithmic straight line. This may be accounted for by the fact that 

 swimming speeds are only 15.5 per cent of men's running speeds at any 

 given distance beyond 100 meters ; so that the retardation at starting 

 must be much less than in running. Moreover, it is possible that the 



