Pressure Calculation

The force exerted per square unit of area is used to express the level of pressure.

P = F/A.

Where,

F equals the force that the body exerts (N)

A equals the entire surface area of the object (m²)

The force exerted on an object’s surface in a direction that is perpendicular to the direction in which the force is dispersed is referred to as pressure. 

Pressure is measured in kilogrammes per square metre.

In reference to the pressure undersea formula, the water pressure formula enables us to calculate the force of water flow via a conduit or pipe.

This force is denoted in Pascal or Pa.

On this page, we will learn how to calculate water pressure, including the formula for converting psi to inches of water and a water pressure calculator that takes into account height.

Pressure in water

Gravity exerts a pulling force that causes water, along with everything else on Earth, to fall to the ground. 

Every body of water has a specific weight, and this weight exerts a pulling force on the land and objects that are located below it. 

The weight of all the water that is above pushing down on the water that is below is what causes the water to be under pressure.

When you venture further into a body of water, there will be more water above you, which will result in a higher weight being exerted downward.

How to calculate the Water Pressure

The determination of the water pressure is a pretty simple computation. 

Imagine there is a level surface at the depth that you are interested in calculating the pressure for. Find out how much water is sitting on top of that surface, then divide that number by the total area of the surface.That is all that is required. 

We take P as pressure, W is weight, and A is area, the equation for P = W/A.

Water Pressure Equation

The following is the formula for calculating the water pressure:

P = ρgh

Here,ρ = density of water in kg/m³, g equals the gravitational force in 9.81 metres per second squared, h represents the height in metres, and P represents the water pressure in Pascals.

Example

There is a water tank that is 5 metres in height and it is completely full of water. 

You will need to calculate the pressure of the water at the bottom of the container by using the formula for water pressure.

Density of water = 1000 kilogrammes per cubic metre

g= 10 m/s²

Height = 5 m

As a direct consequence of this, the water pressure inside the tank will increase.

P = ρgh

P = 1000 x 5 x 10 P = 50,000 Pa.

As a direct result of this, the water pressure within the tank will be 50,000 pascals.

What is Meant by the Term Hydrostatic Pressure?

We are aware that pressure can be exerted by matter in any of its states. Liquids and gases exert equal pressure on all edges of a container.

Hydrostatic pressure, also known as pressure of the liquid, refers to the normal force that is exerted by a liquid per unit area of the surface that it is in contact with.

The pressure that is applied to a fluid that is at equilibrium at any given point in time as a direct result of the pull of gravity.

As a result of an upward force being applied, the weight of the fluid will increase, 

which will cause the hydrostatic pressure to increase proportionally with the depth measured from the surface.

Hydrostatic Pressure Formula

The formula that is utilised to determine the value of the hydrostatic pressure is as follows:

p = ρgh

where:

The pressure that is being exerted by the liquid is shown by the symbol p in N.m^-2, Pa.

In kilogrammes per cubic metre and slugs per square foot, denotes the density of the liquid.

The acceleration that is caused by gravity is denoted by the symbol g, which is equal to 9.81 metres per second every second.

h represents the height in metres of the fluid column. 

Conclusion

There are several different units that can be used to express pressure.

The SI unit of pressure, the pascal (Pa), for example, is one newton per square metre (N/m²).

Similarly, the pound-force per square inch (psi) is the traditional unit of pressure in the imperial and U.S. customary systems. Some of these arise from a unit of force being divided by a unit of area. 

There is another way to express pressure, and that is in terms of the standard atmospheric pressure.

The atmosphere (atm) is equal to this pressure, and the torr is defined as being equal to 1/760 of this pressure. When expressing pressures in terms of the height of the column of a particular fluid in a manometer,  manometric units such as the centimetre of water, millimetre of mercury, and inch of mercury are utilised. 

Other manometric units include the millimetre of mercury and the inch of mercury.