For an inclined plane submerged in a liquid, the centre of pressure on one side of the plane will be
A rectangular water tank, full to the brim, has its length, breadth and height in the ratio 2 : 1 :2 .The ratio of hydrostatic forces on the bottom to that on any larger vertical surface of the tank is
A plane area in the form of a right angle triangle of height h base b is immersed vertically in water with its vertex at the water surface. The coordinate of the location of center of pressure IS
Taking moments of force on the element about O Y and integrating:
so, the coordinate of center of pressure is
A circular disc of diameter D is immersed vertically in a liquid of density p. The top most point of the disc just touches the liquid surface . What is depth of center of pressure ?
A circular annular area of inner and outer diameter, D and 2D respectively is immersed vertically in water with the center of the area at 3D below the water surface . The location of the center of pressure is
A rectangular gate is to open just as the water level reaches a height of 4 m from the bottom of the gate as shown in figure .
What s the location y of the pivot ? ( Take width of gate as 1 m)
The gate will open just when the center of pressure coincides with the location of the pivot
A hemispherical bulge of diameter 1.5 m is provided in the bottom of a tank. If the depth of water above the horizontal floor of the tank is 5.0 m, what is the magnitude and direction of the resultant force on the hemisphere?
Net horizontal force = 0
Fv = weight of fluid above the hemisphere
The total pressure on a horizontally immersed surface is
w = specific weight of the liquid
A = area of the immersed surface
=depth of the center of gravity of the immersed surface from the liquid surface
Point of application of a horizontal force on curved surface submerged in liquid is
where is distance of centre of gravity from free surface and IG area moment of inertia
The depth of centre of pressure for a rectangular lamina immersed vertically in water up to height h is given by