Parting-off operation is carried out on a cylindrical work-piece of $$100mm$$ diameter. The groove width is $$2$$ $$mm$$ and an in feed of $$0.2$$ $$mm$$ per revolution is given at a maximum cutting speed of $$60$$ $$m/mm.$$ The specific cutting force for the material is $$800\,\,N/m{m^2}.$$

The maximum power requirement for the operation is

A generalized tool life equation for carbide tool for machining steel is given by
$$\,\,\,\,\,\,\,\,\,\,$$$$\,\,\,\,$$ $$V{T^a}{F^b}{D^c} = K,$$
Where $$V=$$ Cutting speed, meters/min,
$$\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,$$ $$T=$$ Tool life,
$$\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,$$ $$F=$$ feed, $$mm/rev,$$
$$D=$$ depth of cut in $$mm,$$ Indicates have magnitude $$a=0.3, b=0.3, c=0.15,$$

If the feed is halved and depth of cut doubled, for identical tool life of $$60$$ minutes, the percentage change in speed

A generalized tool life equation for carbide tool for machining steel is given by
$$\,\,\,\,\,\,\,\,\,\,$$$$\,\,\,\,$$ $$V{T^a}{F^b}{D^c} = K,$$
Where $$V=$$ Cutting speed, meters/min,
$$\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,$$ $$T=$$ Tool life,
$$\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,$$ $$F=$$ feed, $$mm/rev,$$
$$D=$$ depth of cut in $$mm,$$ Indicates have magnitude $$a=0.3, b=0.3, c=0.15,$$

The change in productivity for the new processing conditions

During orthogonal turning a steel rod at feed $$0.25$$ $$mm$$ per revolution and depth of cut $$4.00$$ $$mm$$ by a tool of geometry $${0^0},\, - {10^0},\,\,{8^0},\,\,{7^0},\,\,{15^0},\,\,{60^0},\,\,0\,\,(mm)\,\,;$$ the following observation were made: Tangential force $$=1,600N,$$ Axial force in feed direction $$=800$$ $$N,$$ Chip thickness $$=0.60$$ $$mm.$$ Find the coefficient of friction between chip tool interface and shear strength of work material from shear force.