For tool $$A,$$ Taylor’s tool life exponent $$(n)$$ is $$0.45$$ and constant $$(K)$$ is $$90.$$ Similarly for tool $$B,$$ $$n=0.3$$ and $$K=60.$$ The cutting speed (in $$m/min$$) above which tool $$A$$ will have a higher tool life than tool $$B$$ is

In a machining experiment, tool life was found to vary with the cutting speed in the following manner

The exponent $$(n)$$ and constant $$(K)$$ of the Taylor's tool life equation are

In a machining experiment, tool life was found to vary with the cutting speed in the following manner

What is percentage increase in tool life when the cutting speed is halved.

Orthogonal turning is performed on a cylindrical work piece with shear strength of $$250Mpa.$$ The following conditions are used: cutting velocity is $$180m/min,$$ feed is $$0.2mm/rev,$$ depth of cut is $$3mm,$$ chip thickness ratio is $$0.5.$$ The orthogonal rake angle is $$7deg.$$ Apply Merchants theory for analysis,

The shear plane angle (in degrees) and the shear force respectively are