NAME: ________________________________________________________
CENGR 410: HYDRAULICS ENGINEERING I
MOCK BOARD EXAMINATION
I.
SET A
1. The change in specific volume between the surface and the
large depth?
a. -0.335×10-4
b. -0.533×10-4
c. -0.678×10-4
d. -0.763×10-4
2. What is the specific volume at the depth?
a. 8.475×10-4
b. 9.475×10-4
c. 10.476×10-4
d. 11.475×10-4
3. What is the specific weight at the depth?
a. 11.35
b. 9.35
c. 10.35
d. 8.35
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At a certain depth in the ocean, the pressure is 80 MPa. Assume
that the specific weight at the surface is 10 kN/m3 and the
average bulk modulus is 2.340 GPa. Find:
II.
If the specific weight of water = 1000 kg/m3, and the
atmospheric pressure = 101kN/m2.
4. What will be the gauge pressure
a. 128.8
b. 139.9
c. 149.9
d. 117.7
5. What is the the absolute pressure of water at depth 12m
below the surface?
a. 218.7
b. 200.7
c. 34.57
d. 109.7
III.
IV.
V.
If the relative density 0.8
6. What is the depth below the surface of oil will produce a
pressure of 120 kN/m2
a. 10.29
b. 15.29
c. 7.54
d. 9.06
7. What depth of water is this equivalent to?
a. 13.50
b. 16.70
c. 12.23
d. 14.83
An open cylindrical tank has a base diameter of 1.2 m and
contains 3.56m of water. The tank is rotated about its vertical
axis at 80 rpm.
8. What is the minimum height of the tank so that no water
can be spilled at 80 rpm
a. 4.7
b. 4.9
c. 4.5
d. 4.2
9. If w= 120rpm, how much water is spilled?
a. 911
b. 867
c. 1034
d. 956
10. If w= 140 rpm, what will be the pressure at the center
bottom of the tank?
a. 5.48
b. 6.54
c. 9.45
d. 4.38
A 3m square plate is immersed in water in a vertical position
such that two edges of the square are horizontal. The
immersion is such that the center of pressure on the plate is
9cm from its center of gravity.
VI.
11. Determine the distance from the water surface to the top of
the gate in m.
a. 6.83
b. 6.24
c. 7.12
d. 7.54
12. Determine the distance from the water surface to the
center of pressure.
a. 9.134
b. 8.712
c. 8.423
d. 7.834
13. Determine the total hydrostatic force acting on one side of
the gate in Kn.
a. 768.98
b. 647.85
c. 865.45
d. 735.75
A stone weighs 5.2 N when immersed in water and 6N when
immersed in alcohol having specific gravity of 0.80 unit weight
of water is 9.81 kn/m3.
14. What is the volume of the stone in m3
a. 0.000325
b. 0.000408
c. 0.000623
d. 0.000345
15. What is the specific gravity of the stone?
a. 2.3
b. 2.4
c. 2.2
d. 2.1
16. What is the density of the stone in kg/m3
a. 2400
b. 2100
c. 2200
d. 2300
VII.
VIII.
An open cylindrical tank is 1.20m in diameter and 2.10m high. It
is filled 2/3 with water.
17. Compute how many liter of water will be spilled out of the
vessel if it is rotated about its vertical axis at constant speed
of 90rpm.
a. 130
b. 140
c. 120
d. 150
18. At what speed can the vessel be rotated without spillage?
a. 81.43
b. 83.41
c. 75.65
d. 56.65
19. At what speed can the vessel be rotated such that the
pressure at the center bottom will not exceed 6.867?
a. 79.83
b. 70.98
c. 83.41
d. 84.35
An open vessel of water accelerates up a 30 degree incline at
2m/s2 .
20. What is the horizontal component of acceleration?
a. 1.37
b. 1.21
c. 1.73
d. 1.65
21. What is the vertical component of acceleration?
a. 1
b. 1.95
c. 2
d. 3
22. What angle does the water surface make with the
horizontal?
a. 9.09
IX.
X.
b. 8.56
c. 12.35
d. 15.67
The fuel gage for a gasoline tank in a car reads proportional to
its bottom gage. The tank is 35 cm deep and was accidentally
contaminated with 3cm of water. Specific gravity of gasoline is
0.68.
23. What is the gage reading in kPa when the tank is filled with
gasoline?
a. 2.34
b. 2.56
c. 2.11
d. 2.87
24. If the tank is accidentally contaminated with 3cm of water,
how many cm of air remains on the top of the tank when
the gage reads “full”
a. 1.88
b. 1.41
c. 1.65
d. 1.31
25. For # 24, if the tank has a uniform horizontal cross-sectional
area of 0.45m2, how many liters of gasoline is required to fill
the tank?
a. 6.35
b. 9.12
c. 7.57
d. 8.62
A 2.8m square plate is immersed in water in a vertical position
such that two edges of the square are horizontal. The
immersion is such that the center of pressure on the plate is
8cm from its center of gravity.
26. Determine the distance from the water surface to the top of
the gate in m.
a. 6.33
b. 6.77
XI.
c. 3.31
d. 8.95
27. Determine the distance from the water surface to the
center of pressure
a. 9.21
b. 8.25
c. 7.40
d. 8.81
28. Determine the hydrostatic force acting on one side of the
gate.
a. 628.1
b. 668.4
c. 234.5
d. 345.4
A 1.5m square tank contains water to a depth of 2.6m. a cubical
block of wood 0.6m on each side floats on water inside the tank.
The specific gravity of wood is 0.5.
29. What is the volume of water in liters displaced by the
wood?
a. 108
b. 123
c. 168
d. 132
30. What is the rise in water level in mm?
a. 55
b. 62
c. 42
d. 48
31. What is the change in the total force acting on the floor of
the tank in kN?
a. 1.982
b. 2.145
c. 1.853
d. 1.632
XII.
XIII.
XIV.
A manometer connected to a pipe indicates a negative gauge
pressure of 50mm of mercury.
32. What is the absolute pressure in the pipe in N/m2 if the
atmospheric pressure is 10000 Pa
a. 87.33
b. 93.33
c. 89.33
d. 91.33
The face of a dam is vertical to a depth of 7.5m below the water
surface then slopes at 30 degree to the vertical. If the depth of
water is 17m what is the resultant force per metre acting on the
whole face?
33. What is the resultant force per metre acting on the whole
face?
a. 1563.29
b. 1893.63
c. 2936.29
d. 1235.63
34. What is the angle of the resultant?
a. 20.32
b. 24.94
c. 32.32
d. 30.94
What would the pressure in kN/m2 be if the equivalent head is
measured as 400mm of ( c) oil specific weight 7.9 kN/m3 (d) a
liquid of density 520 kg/m3?
35. If the specific gravity of mercury is 13.6?
a. 50.4
b. 39.1
c. 53.4
d. 232
36. In the water?
a. 3.92
b. 4.92
c. 2.92
d. 5.92
XV.
XVI.
XVII.
A 200mm x 200mm x 400mm block weighs 50N when fully
submerged in water.
37. What is the weight of the block in air?
a. 1.32
b. 1.56
c. 1.78
d. 1.93
38. Determine the unit weight of the block in kN/m3?
a. 14.22
b. 12.94
c. 10.90
d. 15.70
A dam 4m at the top 18m at the bottom and 25m high has
water 20m deep acting on its vertical side. Compute the
location of the vertical resulta
39. Compute the location of the vertical resultant force from
the toe
a. 11.76
b. 16.71
c. 13.41
d. 14.12
40. Determine the factor of safety against overturning.
a. 5.00
b. 5.33
c. 6.00
d. 2.66
A stone weighs 4N when immersed in water and 5N when
immersed in alcohol with specific gravity of 0.80. unit weight of
water is 9.79 kN/m3.
41. What is the volume of the stone in m3?
a. 0.000412
b. 0.000511
XVIII.
XIX.
c. 0.000562
d. 0.000621
42. What is the density of the stone in kg/m3
a. 1832
b. 1945
c. 1721
d. 1797
43. What is the weight of the stone in N?
a. 9
b. 10
c. 11
d. 12
A piece of metal having a specific gravityof 7.5 is floating in
mercury having a specific gravity of 13.6.
44. What fraction of the total volume of the metal is above the
mercury surface in%?
a. 19.2
b. 55.15
c. 44.85
d. 48.32
45. If the volume of the metal below the mercury surface is
0.018m3, what is the total weight of the metal in kN?
a. 2.70
b. 2.40
c. 3.08
d. 2.80
46. What vertical force in kN will keep the metal fully
submerged in mercury?
a. 1.953
b. 1.543
c. 1.674
d. 0.223
A cylindrical tank 1m in diameter and 2m high weighs 1200
newtons. The tank is to float in water with a draft of 1.8m. unit
weight of lead is 110 kN/m3
47. How much lead in kN is required if it is to be placed inside
the tank?
a. 13.24
b. 12.67
c. 11.78
d. 15.63
48. If attached to the bottom of the tank?
a. 13.91
b. 14.57
c. 12.67
d. 15.91
XX.
49. How much additional weight of lead is requiredto fully
submerge the tank in water for #48?
a. 1.987
b. 2.212
c. 1.692
d. 2.56
The gauge pressure in a water mains is 50 kN/m2
50. What is the pressure head?
a. 5.1
b. 8.65
c. 3.71
d. 9.46
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