1
GATE PI 2017
+2
-0.6
A pair of spur gears with $${20^ \circ }$$ full-depth involute teeth is used to transmit $$3.5$$ $$kW$$ of power. The pinion rotates at $$700$$ $$rpm$$ and has pitch circle diameter of $$100$$ $$mm.$$ Assuming a single pair of teeth in contact, the total force acting on a gear tooth (in $$kN$$) is
A
$$0.347$$
B
$$0.954$$
C
$$1.016$$
D
$$1.302$$
2
GATE PI 2017
Numerical
+2
-0
In a machining operation with turning tool, the tool life $$(T)$$ is related to cutting speed $$v$$ $$(m/s),$$ feed $$f(mm)$$ and depth of cut $$d(mm)$$ as $$T = C\,v{\,^{ - 2.5}}\,{f^{ - 0.9}}\,{d^{ - 0.15}}$$\$
where, $$C$$ is a constant. The suggested values for the cutting parameters are: $$V=1.5$$ $$m/s,$$ $$f=0.25$$ $$mm$$ and $$d=3$$ $$mm$$ for normal rough turning. If the operation is performed at twice the cutting speed and the other parameters remain unchanged, the corresponding percentage change in tool life is ______________.
3
GATE PI 2017
+2
-0.6
The Merchant circle diagram showing various forces associated with a cutting process using a wedge shaped tool is given in the Figure

The coefficient of friction can be estimated from the ratio

A
$${{{f_1}} \over {{f_2}}}$$
B
$${{{f_3}} \over {{f_4}}}$$
C
$${{{f_5}} \over {{f_6}}}$$
D
$${{{f_6}} \over {{f_5}}}$$
4
GATE PI 2017
+1
-0.3
Turning, drilling, boring and milling are commonly used machining operations. Among these, the operation (s) performed by a single point cutting tool is (are)
A
turning only
B
drilling and milling only
C
turning and boring only
D
boring only
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