Mn:mining Engineering Worksheet - 2013 Page 8
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152013
MINING ENGG. –MN
Q.31
A surface miner with 2.0 m cutting drum width excavates coal in windrowing mode from a bench
with effective face length 200 m. The cutting speed of the surface miner is 10 m/min and the
3
cutting depth 25 cm. The density of coal is 1.4 tonne/m
. If the average turning time of the machine
at the face end is 5 min, the rate of production in tonne/hour becomes ____________
Q.32
A core sample of a rock, having diameter 54 mm and length 108 mm, is subjected to axial loading.
If the axial strain and Poisson’s ratio are 2000
10
and 0.28 respectively, the value of
volumetric strain , represented in micro-strain is ___________
3
Q.33
A flat bauxite deposit has thickness of 10 m with an average density of 2200 kg/m
. The grade
values and the sample coordinates are as shown in the table. To carry out reserve estimation using
triangular method, the triangles are constructed as shown in the figure.
Sample No
1
2
3
4
5
2
1
Alumina %
35
40
39
47
42
x coordinate, m
0
200
0
200
500
y coordinate, m
300
300
0
0
0
5
3
4
The alumina content in million tonnes, in the region comprising the three triangles is _________
Q.34
If the following linear system of equations has non-trivial solutions
0
2
2
0
2
3
0
the value of p is
(A) 1
(B) 0
(C) -1
(D) -7
3
Q.35
A bucket wheel excavator with 20 buckets of capacity 0.5 m
each, rotates at 5 rev/min. The bucket
fill factor is 80%. The excavator loads on to 1200 mm wide belt conveyor. The cross-section area
2
2
(m
) of the material on the belt is 0.1B
, where B is the belt width in m. The minimum speed of the
belt in m/s to avoid spillage of material is
(A) 7.23
(B) 5.79
(C) 4.63
(D) 3.70
Q.36
A simplex tableau shown below is generated during the maximization of a linear programming
problem using simplex method
Variable
Z
X
X
X
X
RHS
1
2
3
4
Z
1
-1
0
1
0
6
⁄
⁄
1 3
1 3
X
0
1
0
2
2
7 3
⁄
2 3
⁄
X
0
0
1
2
4
After one iteration, the value of the objective function becomes
(A)
(B)
(C)
(D)
MN
8/15
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