1
GATE PI 2001
Subjective
+5
-0
Tool life in drilling steel using $$HSS$$ drill is expressed as $${T^{0.2}} = 9.8\,\,{D^{0.4}}\,\,/\,\,V\,{s^{0.5}}$$ where $$D$$ is the drill diameter (in $$mm$$), $$T$$ is the tool life (in minutes), $$V$$ is the cutting speed (in $$m/min$$) and $$s$$ is the feed ($$mm/rev$$). The feed is set at maximum possible value of $$0.4$$ $$mm/rev$$ for a given drill diameter of $$30mm.$$ The length of drilling is $$50mm.$$ The machine hour rate Rs $$60$$ and the cost of drill is Rs. $$400.$$

$$i)$$ For the given conditions, the tailor's exponent and constant are .............
$$ii)$$ The optimum cutting speed, $${V_{opt}},$$ neglecting the work-piece and tool changing times is

2
GATE PI 2001
+1
-0.3
In Whitworth quick return mechanism (used in shapers) the velocity of the $$ram$$ is maximum at
A
middle of the forward stroke
B
beginning of return stroke
C
end of return stroke
D
middle of the return stroke
3
GATE PI 2001
+1
-0.3
For $$50\%$$ penetration of work material, a punch with single shear equal to thickness will
A
reduce the punch load one third the value
B
increase the punch load by half the value
C
D
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