1. A workpiece with 25mm diameter is turned in a centre lathe with a back rake angle of 12 degrees and front relief angle 7 degrees. Calculate the actual cutting angles (rake angle and clearance angle) if the cutting tool is set (a) 0.8mm above the centre line of the work piece, and (b) 0.8mm below the centre line of the work piece.

In turning of stales steel alloy, 1100 mm length and 400 mm diameter, the Feed was 0.35 mm/rev, and depth of cut = 2.5 mm. The tool used in this cutting is cemented carbide tool where Taylor tool life parameters are n = 0.24 and C = 450 (tool life (min) and cutting speed (m/min). Compute the cutting speed that will allow the tool life to be 10% longer than the machining time for this part.