When should we use p = ρ.g.h and p = ρ.g.hcg for hydrostatic pressure?

In summary, hydrostatic pressure is the pressure exerted by a fluid at rest and is important in science for understanding the behavior of fluids. It is calculated by multiplying the density of the fluid by gravity and the height of the fluid column. Factors such as density, gravity, temperature, and substances in the fluid can affect hydrostatic pressure. It is used in practical applications such as hydraulics, pressure vessels, and blood pressure measurement. As depth increases, hydrostatic pressure also increases due to the weight of the fluid above, known as Pascal's principle.
  • #1
wmsaqqa
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For the hydrostatic pressure, when do we use [ p = ρ.g.h ] and [ p = ρ.g.hcg ]

where:
ρ = density
g = acc of gravity
h = height of water column
hcg = the distance to the center of gravity from the surface of water downward
 
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  • #2
It depends. h should actually be measured from the surface to the 'center of pressure', which is not always located at the c.g. of a submerged body.

http://www.nptel.iitm.ac.in/courses/Webcourse-contents/IIT-KANPUR/FLUID-MECHANICS/lecture-5/5-2_hydro_thrust_plane_surf.htm
 
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What is hydrostatic pressure and why is it important in science?

Hydrostatic pressure is the pressure exerted by a fluid, such as water, at rest. It is important in science because it helps us understand the behavior of fluids, such as in hydraulics and in the movement of groundwater.

How is hydrostatic pressure calculated?

Hydrostatic pressure is calculated by multiplying the density of the fluid by the acceleration due to gravity and the height of the fluid column. The equation is P = ρgh, where P is the hydrostatic pressure, ρ is the density, g is the acceleration due to gravity, and h is the height of the fluid column.

What factors affect hydrostatic pressure?

The factors that affect hydrostatic pressure include the density of the fluid, the acceleration due to gravity, and the height of the fluid column. Temperature and the presence of other substances in the fluid can also affect hydrostatic pressure.

How is hydrostatic pressure used in practical applications?

Hydrostatic pressure is used in many practical applications, such as in hydraulic systems, pressure vessels, and in the measurement of blood pressure. It is also important in understanding the movement of groundwater and in predicting the behavior of fluids in pipes and containers.

What happens to hydrostatic pressure as depth increases?

As depth increases, hydrostatic pressure also increases. This is because the weight of the fluid above exerts more pressure on the lower layers of the fluid. This relationship is known as Pascal's principle and is important in understanding the behavior of fluids in different environments.

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