Manchester Memoirs, Vol. xlii. (1898), No. 0. 29 



Circumstances and Formulae of Correction. 



Outside Limit 



s of Relative 







Errors. 



17. 



Correction for gravity to latitude 



45° 



Salts dissolved by the water + o'Sj-... 







18. 



O'OOOGOO, 



- 0"000000 



19. 



Air „ „ - io-3i« 



o-oooioo, 



- O'OOOIOO 



20. 



Length of lever 



0'000020, 



- 0-000020 



21. 



Effect of pressure on the thermo- 









meters - 2{ W(fi;)i - f2^)}/2i8o°W) 



O'OOOOIO, 



— O'OOOOIO 



22. 



Rise of the standard reading of the 

 thermometers in the intervals of 

 correction; +0*5 (difference of rise 









/number of intervals) /180 



O'OOOOOO, 



- O'OOOOOO 



23- 



Difference between the initial tem- 

 perature of the water and freezing; 









- o-oooo28S{ W(Ti° - 32°)}/2(W) 



O'OOOOOO, 



— O'OOOOOO 



24. 



Work done by gravitation on the 

 water : — 









- o-ooooo82:{ W(Pi - P2)}/2W 



O'OOOOOO, 



-O'OOOOOO 



25- 



Work absorbed in wear of metal . . . 

 Total Limits of Error ... 



O-QOOOIO, 



-O'OOOOIO 





+ 0-000233, 



- 0-000241 



The quantities under 2 ( ) in the denominators of 

 the corrections are to be taken positive for the large trials, 

 negative for the small. 



The significance of the symbols are as follows : — 

 C, the constant of conduction obtained from the trials. 

 R, the constant of radiation obtained by trials with the 



brake naked and lagged. 

 s and «, the relative weights of salts and air in the water. 

 pup^i the pressure in inches of mercury in the initial and 



final thermometer chambers, 

 ei, ('2, the corrections, per inch of mercury pressure, on the 



initial and final thermometers. 

 W the weight of water in a trial; W,^ the weight lost at the 

 stuffing box; W^ weight of water in the brake at beginning, 

 W^ at end of trial. 

 T"* temperature Fahrenheit; Ti of water entering; T\ of 

 effluent water; T^3 at stuffing-box; T^ at bearing; T^ of 

 air ; T° at beginning, T^ at end of trial. 

 H, heat generate d during a trial. 

 B, capacity of heat for the metal of the brake. 



