1
GATE PI 2003
MCQ (Single Correct Answer)
+2
-0.6
Tool life equation for two tools under consideration are as follows

\eqalign{ & HSS:\,\,\,\,\,\,\,\,\,\,\,\,\,V{T^{0.2}} = 150 \cr & Carbide:\,\,\,\,\,\,V{T^{0.3}} = 250 \cr}
Where $$V$$ is the cutting speed in $$m/min$$ and $$T$$ is the tool life in $$min.$$ The breakdown cutting speed above which the carbide tool will be beneficial is

A
$$54$$ $$m/min$$
B
$$150$$ $$m/min$$
C
$$194$$ $$m/min$$
D
$$250$$ $$m/min$$
2
GATE PI 2003
MCQ (Single Correct Answer)
+2
-0.6
Orthogonal machining of a steel work-piece is done with a $$HSS$$ tool of zero rake angle. The ratio of the cutting force and the thrust force on the tool is $$1:0.372.$$ The length of cut chip is $$4.71$$ $$mm$$ while the uncut chip length is $$10$$ $$mm.$$ What are the shear plane angle $$\phi$$ and friction angle $$\beta$$ in deg.? Use Merchant's theory.
A
$$32.49, 10.22$$
B
$$25.22, 20.41$$
C
$$64.78, 20.41$$
D
$$25.22, 23.21$$
3
GATE PI 2003
MCQ (Single Correct Answer)
+2
-0.6
A single point cutting tool with a nose radius of $$0.4$$ $$mm$$ was used to turn a component in a lathe employing a feed rate of $$0.3$$ $$mm/rev.$$ If the feed-rate is doubled, the ideal surface roughness (peak-to-valley height) produced on the component will increase by a factor of
A
$$2$$
B
$$4$$
C
$$8$$
D
$$16$$
4
GATE PI 2003
MCQ (Single Correct Answer)
+2
-0.6
A cylinder of $$25mm$$ diameter and $$100mm$$ length is turned with a tool, for which the relation $$V{T^{0.25}} = 55$$ is applicable. The cutting velocity is $$22m/min.$$ For a tool feed of $$0.046$$ $$mm/rev,$$ the number of tool regrinds required to produce $$425$$ cylinders is
A
$$12$$
B
$$22$$
C
$$43$$
D
$$85$$
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