492 ME. W. M. HICKS OX THE MOTION OF TWO SPHERES IN A FLUID. 
51*6 
rature of 0° C., v— 1524 feet per 1", and the force =—— X weight of fluid displaced, a 
being measured in feet. It is clear that while the force decreases indefinitely with 
the size, the “ effective ” force increases indefinitely. 
If (a) vibrate through a distance yq-inch, 256 times a second, and «=y-inch, the 
force is '01197 weight of water displaced = weight of 12'8 milligrammes. 
In the same manner can be found the action of (a) on (b) when a describes any 
small curve whose plane contains ( b ). 
Values of Q, Q for equal spheres. 
r 
2 a 
<k■ 
Q- 
1 
i 
1 
•051800 
T50257 
1-05 
■72985 
•028307 
T16749 
IT 
•6418 
•018768 
•098312 
1-2 
•5367 
•009531 
•073754 
1-35 
•4431 
•004049 
•0511 
P5 
•3819 
•001959 
•037142 
l - 75 
•3138 ' 
•0007023 
•023335 
2 
•2679 
•0002962 
•015631 
2‘5 
•2087 
•0000723 
•008001 
35 
T459 
•0000090 
•002895 
4-5 
T125 
•0000019 
•001373 
Values of Q 19 Q 3 , Q' when a = 2b for external spheres. 
r 
a-\-b 
Qu 
4- 
v 
a° * 
V' 
i 
•0206 
•0945 
•04452 
•35616 
1-05 
•01228 
•04298 
•03393 
•27144 
IT 
•00862 
•02572 
•02884 
•23072 
1-25 
•003653 
•00886 
•01918 
T5344 
1-5 
•000719 
•00119 
•01090 
•08720 
2 
•000186 
•00024 
•00455 
•03643 
3 
•000016 
•00013 
Values of Q when 6= 2a for an internal sphere. 
a 
Q. 
0 
T42870 
"25 
•15106 
•5 
■18046 
•75 
•25676 
1 
•61645 
