A facing operation is performed on an engine lathe. The diameter of the cylindrical part is 6 in, and the length is 15 in. The spindle is set to rotate at a cut-ting speed of 180 rev/min. The depth of cut is 0.110 in, and the feed is 0.008 in/rev. Assume that the cutting tool moves from the outer diameter of the work piece to exactly the center at a constant velocity. Determine
(a) the velocity of the tool as it moves from the outer diameter toward the center and
(b) the cutting time.