When machining a part on a lathe, the longitudinal feed rate of the cutter is 12 cm / min

When machining a part on a lathe, the longitudinal feed rate of the cutter is 12 cm / min, and the transverse feed rate is 5 cm / min. What is the speed of the cutter relative to the machine body in this operating mode?

Data: V1 (longitudinal feed rate of the cutter used) = 12 cm / min; V2 (cross feed speed) = 5 cm / min.
To determine the required speed of the used cutter, we apply the Pythagorean theorem (the vectors of the speeds are located at an angle of 90º): V = √ (V12 + V22).
Calculation: V = √ (12 ^ 2 + 5 ^ 2) = √169 = 13 cm / min.
Answer: The tool used moves at a speed of 13 cm / min relative to the machine body.



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