1
GATE PI 2008
+2
-0.6
In a rolling process, thickness of a strip is reduced from $$4mm$$ to $$3mm$$ using $$300mm$$ diameter rolls rotating at $$100rpm.$$ The velocity of the strip (in $$m/sec$$) at the neutral point is
A
$$1.57$$
B
$$3.14$$
C
$$47.10$$
D
$$94.20$$
2
GATE PI 2008
+2
-0.6
A $$10mm$$ diameter annealed steel wire is drawn through a die at a speed of $$0.5/sec$$ to reduce the diameter by $$20\%$$. The yield stress of the material is $$800MPa.$$

Neglecting friction and strain hardening, the stress required for drawing (in $$MPa$$) is

A
$$178.6$$
B
$$357.0$$
C
$$1287.5$$
D
$$25.75.0$$
3
GATE PI 2008
+2
-0.6
Match the following
A
$$P - 2,\,\,Q - 3,\,\,R - 4,\,\,S - 1$$
B
$$P - 3,\,\,Q - 4,\,\,R - 1,\,\,S - 2$$
C
$$P - 2,\,\,Q - 3,\,\,R - 1,\,\,S - 4$$
D
$$P - 2,\,\,Q - 4,\,\,R - 3,\,\,S - 1$$
4
GATE PI 2008
+2
-0.6
A blank of $$50$$ $$mm$$ diameter is to be sheared from a sheet of $$2.5$$ $$mm$$ thickness. The required radial clearance between the die and the punch is $$6\%$$ of sheet thickness. The punch and die diameter $$(mm)$$ for this blanking operation respectively are
A
$$50.00$$ & $$50.30$$
B
$$50.00$$ & $$50.15$$
C
$$49.70$$ & $$50.00$$
D
$$49.85$$ & $$50.00$$
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