The outside diameter of a roll for a steel (AISI 1015) rolling mill is to be turned. In the final pass, the starting diameter = 26.25 in. and the length 48.0 in. The cutting conditions will be feed = 0.0100 in/rev and depth of cut = 0.125 in. A cemented carbide cutting tool is to be used, and the parameters of the Taylor tool life equation for this setup are n = 0.25 and K = 1300. It is desirable to operate at a cutting speed such that the tool will not need to be changed during the cut. Determine the cutting speed that will make the tool life equal to the time required to complete this turning operation. (Problem suggested by: Groover, Fundamentals of Modern Manufacturing: Materials, Processes, and Systems, 2nd Ed., John Wiley & Sons, 2002.)