1
GATE PI 1994
MCQ (Single Correct Answer)
+5
-1.5
In an orthogonal cutting operation, the cutting velocity is $$30$$ $$m/min$$ and the chip velocity $$15$$ $$m/min.$$ If the rake angle of the tool is $${10^0}$$.

Shear velocity with the help of a velocity triangle.

A
$$7.5$$ $$m/min$$
B
$$12$$ $$m/min$$
C
$$25$$ $$m/min$$
D
$$31$$ $$m/min$$
2
GATE PI 1994
MCQ (Single Correct Answer)
+5
-1.5
In an orthogonal cutting operation,
The depth of cut $$=2$$ $$mm,$$
Width of cut $$=15$$ $$mm,$$
Cutting speed $$=0.5$$ $$m/s$$ and
The rake angle $$=0$$ deg.
The cutting force and the thrust force are respectively $$900$$ $$N$$ and $$600$$ $$N$$ and the shear angle $$=30$$ $$deg$$.

The length of the shear plane is

A
$$30mm$$
B
$$15mm$$
C
$$10mm$$
D
$$4mm$$
3
GATE PI 1992
MCQ (Single Correct Answer)
+5
-1.5
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

A
$$5\% $$
B
$$11\% $$
C
$$25\% $$
D
$$130\% $$
4
GATE PI 1992
MCQ (Single Correct Answer)
+5
-1.5
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
$$5\% $$
B
$$11\% $$
C
$$25\% $$
D
$$130\% $$
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