1. A lathe is set up to machine a taper of 1 mm per 10 mm on bar stock 120 mm in diameter. (The chucked end is larger than the other end.) A cut is made with an initial depth of cut of 4 mm at a feed rate of 0.2 mm/rev and at a spindle speed of 150 rpm. Calculate the average material removal rate.
2. A 3-in.-diameter stainless steel cylindrical part is to be turned on a lathe at 500 rpm in one pass. The depth of cut is 0.1 in. and a feed is 0.02 in./rev. What should the minimum horsepower of the lathe be?
3. A 12.7 mm diameter twist drill is used to drill a hole in a low-carbon steel workpiece using a feed of 0.3 mm/rev and a spindle speed of 700 rpm. Calculate (1) the material removal rate, (2) the tangential cutting force, and (3) the torque and power required for the operation.