Fig. 1240.

Example.—In [Fig. 1240] are a set of change wheels, the first pair of which has a driving wheel having 36 teeth, and a driven wheel having 18 teeth. The second pair has a driving wheel of 66 teeth, and a driven wheel of 48.

Let us begin with the first pair and we have 36 ÷ 18 = 2, and this multiplied by 66 is 132. Then 132 ÷ 48 = 2.75, and 2.75 multiplied by 4 is 11, which is the pitch of thread that will be cut. Now, whether this 11 will be eleven threads per inch, or as in our previous examples a pitch of 1116 inch from one thread to another or to the next one, depends upon what the pitch of the lead screw was measured in.

Fig. 1241.

If it is a pitch of 4 threads per inch, the wheels will cut a thread of 11 per inch, while if it were a thread of 416 pitch, the thread cut will be 1116 pitch.

Let us now work out the same gears beginning from the lead screw pair, and we have as follows: