(a) How much volume of water must be displaced for a cubical block of wood with a density of Pwood 700kgm ³, that is 10 cm on a side, to float in a river? For this question, you can use that the density of the river water is Pwater = 1000kgm-³ and that the acceleration of gravity is 9.81 ms-2. (b) An object floats half submerged in water. By considering the forces acting on the object, show that the density of the object must be half the density of the water. (c) An object reaches a depth of 18 metres under the sea surface. If the density of salt water is taken to be p = 1025 kgm-3, calculate the pressure experienced by the object due to the fluid (i.e. only the hydrostatic pressure) at 18 m depth. Assume that the acceleration of gravity is g = 9.81ms-².
Fluid Pressure
The term fluid pressure is coined as, the measurement of the force per unit area of a given surface of a closed container. It is a branch of physics that helps to study the properties of fluid under various conditions of force.
Gauge Pressure
Pressure is the physical force acting per unit area on a body; the applied force is perpendicular to the surface of the object per unit area. The air around us at sea level exerts a pressure (atmospheric pressure) of about 14.7 psi but this doesn’t seem to bother anyone as the bodily fluids are constantly pushing outwards with the same force but if one swims down into the ocean a few feet below the surface one can notice the difference, there is increased pressure on the eardrum, this is due to an increase in hydrostatic pressure.
Physics
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