Hydrostatic pressure is defined as the pressure exerted by a fluid at equilibrium at any point of time due to the force of gravity. It is proportional to the depth measured from the surface as the weight
of the fluid increases when a downward force is applied. Figure 3 shows a tank holding a water
with its top surface open to the atmosphere. Part of the left wall is vertical, and the lower portion is
a segment of a cylinder. Width of the tank is 8 m long.
i)
Identify the depth from the water surface to the centroid of the projected area, he
[2 Marks]
ii)
Compute the magnitude of the horizontal component of the resultant force, FH
[4 Marks
111)
Calculate the magnitude of vertical component of the resultant force, Fy
[4 Marks]
iv)
Based on (ii) and (iii), determine the resultant force, FR
12 Marks]
v)
Compute the angle of inclination of the resultant force
vi)
12 Marks
Show the resultant force acting on the curved surface in such a direction that its line of action
passes through the center of curvature of the surface.
11 Mark!