The document describes the main components and operations of a lathe machine tool. A lathe removes metal from a workpiece to shape it through rotational and linear motions. It consists of a headstock, spindle, bed, carriage, apron, feed rod, compound rest, slide, toolpost and tailstock. Common lathe operations include turning, facing, grooving, parting, chamfering, taper turning, drilling and threading. Examples are provided to demonstrate how to calculate machining time, material removal rate, cutting speed, and angles for taper turning operations.