CONTINUOUS CALCULATING MACHINES. 
369 
Pigs. 1, 5, 6, and 7. 
variable quantity. If now die roller B which is driven without circumferential 
slipping by the disk has a greater angular velocity than the screw, it will, by its 
action on the screw, be moved inwards towards the centre of the disk until its rate 
of motion is the same as that of the screw. If its rate of angular motion is less it 
will be moved by the screw outwards until in a similar way it is at rest. This may 
be simply expressed in symbols thus— 
Let 
a;=angular velocity of screw EE, i.e., of roller B. 
aq—angular velocity of shaft F, i.e., of roller A. 
Pt=radius of disk. 
y— distance of B from centre of disk. 
Then if, as is assumed to be the case, diameter of A = diameter of B 
angular velocity ofB_ w _ y _ „ 
angular velocity of A w Y B ' 
K being constant and equal to 
1 Ja. 
That is, y is a direct measure of the ratio —. 
w i 
Now there is no limit in theory to the speed of the screw (EE) or of the roller (B), 
consequently the latter may be caused to occupy its correct position with any required 
rapidity. 
Theoretically, therefore, y may be made to measure at every instant the ratio of the 
angular velocities, i.e. 
li 
