Question 1 (Hydrostatics)
1.1
A 1,4 m high drum is filled with fuel to a depth of 1,2 m. The diameter of the
drum is 700 mm and the density of the fluid is 820 kg/m 3.
Determine:
1.1.1 the hydrostatic force of the fuel on the vertical side of the drum.
1.1.2
(4)
the centre of pressure position on the side of the drum, from below.
(2)
1.1.3
the total hydrostatic force on the vertical sides of the drum if the space
above the fuel is pressurised to 20 kPa.
(5)
1.1.4
the centre of pressure of the combined forces.
(4)
[15]
Question 2
2.1
A tank had water in it to a level of 1,5 m and then oil leaked into the tank. The
depth of the oil, which has a density of 890 kg/m3, is 2 m. The length of one of the
rectangular sides of the tank is 4 m.
Determine:
2.1.1 the total hydrostatic force on this side of the tank.
2.1.2
(10)
the centre of pressure position of this hydrostatic force, from the bottom of
the tank.
(6)
[16]
Question 3
3.1
A 135 metric ton experimental submarine floats in sea-water (density of 1 025
kg/m3). There is a 1 m diameter observation window in the side of the submarine
and its centre is 1,4 m below the surface of the sea-water if the submarine is in its
floating altitude. The surface of the flat window is inclined at 60º to the surface of
the water when the submarine is floating in a level altitude (laterally and
longitudinally).
Determine:
3.1.1 The hydrostatic force that is exerted on the observation window
3.1.2 The centre of pressure of the hydrostatic force on the window
(3)
(3)
[6]
Question 4
A dam has its face in a circular arc as shown in fig below. Calculate the resultant force on
the arc per meter run and its inclination to the horizontal force.
(10)
[10]