In the manometer given above, 2 immiscible fluids mercury (ρ = 13600 kg/m3) and water (ρ = 1000 kg/m3) are used as manometric fluids. The water end is exposed to atmosphere (100 kPa) and the mercury end is exposed to a gas. At this position, the interface between the fluids is at the bottom most point of the manometer. Ignore the width of the manometer tube and the radius of curvature. The value of h is found to be 9.45 m. The height of the mercury column is given to be 75 cm. Find the gauge pressure of the gas. (g = 9.8 m/s2)

Buoyancy and Floatation topics include: Buoyancy, metacenter and metacentric height, manometer and equilibrium conditions of submerged bodies. Buoyancy is the upward force exerted on an object submerged in a fluid. Floatation is the ability of an object to remain on the surface of a liquid or gas.  According to the principle of floatation, an object will float in a liquid if the buoyant force acting on it is equal to the object's weight. The volume of fluid displaced must also equal the volume of the object immersed in the fluid. If the object's weight exceeds the upthrust, it will... Show more

Buoyancy and Floatation topics include: Buoyancy, metacenter and metacentric height, manometer and equilibrium conditions of submerged bodies.

Buoyancy is the upward force exerted on an object submerged in a fluid. Floatation is the ability of an object to remain on the surface of a liquid or gas. 

According to the principle of floatation, an object will float in a liquid if the buoyant force acting on it is equal to the object's weight. The volume of fluid displaced must also equal the volume of the object immersed in the fluid. If the object's weight exceeds the upthrust, it will sink. 
Buoyancy is important in swimming because it helps the swimmer to stay closer to the surface. This is because the pressure experienced by the swimmer under the water is more than the pressure experienced above. 

Here are some examples of buoyancy and floatation:
Lump of clay: If you drop a lump of clay in water, it will sink. However, if you mold the same lump of clay into the shape of a boat, it will float. Because of its shape, the clay boat displaces more water than the lump and experiences a greater buoyant force.
Swimmers: Buoyancy helps swimmers to stay closer to the surface.

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