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We study the theoretical foundations of metal cutting. Cutting is one of the most popular ways to obtain a workpiece. You can cut metal with a milling cutter, a saw or drill. The methods of influencing the workpiece themselves can be absolutely different. There are quite a lot of them and they are all described in any TCM textbook. This does not change the meaning. But the construction of the technical process and its technological features play a very, very important role. Therefore, we will discuss in simple form what the choice of these parameters depends on. What cutting speed should be chosen? What does it depend on? What theoretical foundations lie behind these points? What material to choose for manufacturing, for example, a drill. All this is a secret world, but the theory has long been formed and described. So we will try to lift the curtain. At the same time, we will figure out why the formulas for calculating metalworking parameters are exactly what they are.