Kick .Vs. Rittinger : An Experimental Investigation In Rock Crushing, Performed At Purdue University

INTRODUCTION RITTINGER'S law of the energy expended in crushing is, as roughly stated by Professor Richards,1 that the work of crushing is proportional to the reduction in diameter; or, as I have more fully expressed it: "The work done in crushing is proportional to the surface exposed by the operation; or, better expressed for this purpose, the work done on a given mass of rock is proportional to the reciprocal of the diameter of the final product-assuming that all the mass has been reduced to one exact size, which is only theoretically possible.?2 Kick's law is stated by H. Stadler as follows:3 "The energy required for producing analogous changes of configuration of geometrically similar bodies of equal -technological state varies as the volumes or weights, of these bodies." In other words, the energy expended is porportional to the volume reduction, instead of the diameter reduction. That these two laws would give widely different results may be shown by a simple imaginary case. A ton of 16-in. cubes is broken to 1 -in. cubes at the first operation, and these are broken to 1/16 -in, cubes at a second operation. Since the first operation produces only one-sixteenth as much new surface as the second, the ratio of energy expended in the two operations would be by Rittinger's law as 1 to 16. By Kick's law, since the volume-reduction ratio is the same in both cases, the ratio of energy would be 1 to 1. This discrepancy is great enough to challenge a test by actual experiment, of which there has been, hitherto, but little compared with the amount of argument. The present paper is the record