The speeds of stones for file grinding and other similar rapid grinding is thus given in the “Grinders’ List.”

Diameter of
stone.
Revolutions
per minute.
ft.in.
80135
76144
70151
66166
60180
56196
50216
46240
40270
36308
30360

These speeds are obviously obtained by reducing the diameter of the pulley on the grindstone shaft each time the stone has worn down 6 inches less in diameter, and give a uniform velocity of stone if the 8 feet stone be driven with a pulley 32 inches in diameter. Each shift (or change of pulley) giving a pulley 2 inches less in diameter.

The following table (from the Mechanical World) is for the diameter of stones and the number of revolutions they should run per minute (not to be exceeded), with the diameter of change or shift pulleys required, varying each shift or change 212 inches, 214 inches, or 2 inches in diameter for each reduction of 6 inches in the diameter of the stone:—

Diameter of
stone.
Revolutions
per minute.
Shift of pulleys in inches.
2122142
ft.in.
8013540 36 32
761443712333430
7015435 311228
661663212291426
6018030 27 24
561962712243422
5021625 221220
462402212201418
4027020 18 16
363081712153414
3036015 131212
12345

“Columns 3, 4, and 5 are given to show that if you start an 8 feet stone with, say, a countershaft pulley driving a 40 inch pulley on the grindstone spindle, and the stone makes the right number (135) of revolutions per minute, the reduction in the diameter of the pulley on the grinding-stone spindle, when the stone has been reduced 6 inches in diameter, will require to be also reduced 212 inches in diameter, or to shift from 40 inches to 3712 inches, and so on similarly for columns 4 and 5. Any other suitable dimensions of pulley may be used for the stone when 8 feet in diameter, but the number of inches in each shift named, in order to be correct, will have to be proportional to the number of revolutions the stone should run, as given in column 2 of the table.”

Fig. 2059.