A $$60$$ $$mm$$ wide block of low carbon steel is face milled at a cutting speed of $$120$$ $$m/min,$$ feed of $$0.1$$ $$mm$$/tooth and axial depth of cut of $$4$$ $$mm.$$ A schematic representation of the face milling process is shown below. The diameter of the cutter is $$120$$ $$mm$$ and it has $$12$$ cutting edges. The material removal rate (in $$m{m^3}/s)$$ is __________

Consider the following statements.
$$(P)$$ Computer aided process planning $$(CAPP)$$ takes input from material requirement plan $$(MRP).$$
$$(Q)$$ Production flow analysis helps in work cell formation.
$$(R)$$ Group technology takes input from choice of machining or cutting parameters.

Among the above statements, the correct one(s) is (are)

A single axis $$CNC$$ table is driven by a $$DC$$ servo motor that is directly coupled to a lead screw of $$5$$ $$mm$$ pitch. The circular encoder attached to the lead screw generates $$1000$$ voltage pulses per revolution of the lead screw. The table moves at a constant speed of $$6$$ $$m/min.$$ The corresponding frequency (in $$kHz$$) of the voltage pulses generated by the circular encoder is __________________.

In a single-pass rolling operation, a $$200$$ $$mm$$ wide metalic strip is rolled from a thickness $$10$$ $$mm$$ to a thickness $$6$$ $$mm.$$ The roll radius is $$100$$ $$mm$$ and it rotates at $$200$$ $$rpm$$. The roll-strip contact length is a function of roll radius and, initial and final thickness of the strip. If the average flow stress in plane strain of the strip material in the roll gap is $$500$$ $$MPa$$, the roll separating force (in $$kN$$) is _________________