Created By : Naaz Fatima

Reviewed By : Phani Ponnapalli

Last Updated : May 18, 2023

The Hydrostatic Pressure Calculator is a web-based application for calculating the pressure that arises at a specific depth of liquid. In a fraction of a second, enter the data into the appropriate input sections and calculate the hydrostatic pressure.

Choose a Calculation
Fluid type (optional)
Fluid density ρ:
Depth:

### What is Hydrostatic Pressure?

Hydrostatic pressure is the pressure exerted by a fluid in equilibrium due to gravitational force at a specific point in time. When a downward force is applied, hydrostatic pressure is precisely proportional to the depth measured from the surface as the fluid weight increases.

Fluid Pressure: Every liquid particle is susceptible to gravitational force and is gravitationally drawn to the Earth. The deeper we go, the more such particles there will be above us, and the fluid pressure will be higher. When a fluid is at rest, we refer to it as hydrostatic pressure, which is independent of tank size, shape, and depth.

### Hydrostatic Pressure Formula

The equation P = ρ g h + ρ0 gives the hydrostatic pressure formula.

• Where, ρ = density of water
• g = gravitational constant
• h = height
• ρ0 = external pressure

### Hydrostatic Pressure Derivation

Consider a water column with a volume V and a Surface Base Area A.

Weight of Water W = mg

Mass of Water = Density of Water = W = ρVg

The product of surface area and height is equal to volume, and it is generally expressed as V = Ah

Hence, W = ρAhg

Using the formula of pressure, we get the following equation;

p = (F/A)ρ

p = ρAhg/A

p = ρhg

### How Do I Use the Hydrostatic Pressure Calculator?

• Step 1: In the input area, enter the height and x for the unknown value.
• Step 2: To calculate the water pressure, click the "Calculate x" button.
• Step 3: Finally, the output field will show the hydrostatic pressure in the pipes.

### Hydrostatic Pressure Examples

Question 1: At a depth of 5.2 metres, what is the pressure acting on the fluid if its density is 1000 kg/m3?

Solution:

Given that

Given Density of Fluid = 1000 kg/m³

Depth = 5.2 m

Hydrostatic Pressure p = ρgh

p = 1000 x 9.81 x 5.2

p = 51012.0 pascal

For more concepts check out physicscalculatorpro.com to get quick answers by using this free tool.

### FAQs on Hydrostatic Pressure Calculator

1. What is hydrostatic pressure?

Hydrostatic pressure is the pressure exerted by any fluid in a confined region. Blood pressure is the pressure that blood exerts in the capillaries. Due to hydrostatic pressure, fluid pours out through the capillary's pores and into the interstitial space as blood flows through it.

2. How do you calculate the flow of hydrostatic pressure?

Hydrostatic Pressure Formula = p = ρgh

• where, p is the density of water in kilogrammes per cubic metre,
• g is the gravitational acceleration constant,
• h is the height of the water above the valve in metres, and
• P is the pressure in pascals.

3. What is the definition of fluid pressure?

Fluid pressure is the pressure that builds up at a location within a fluid as a result of the fluid's weight.

4. What is a house's usual hydrostatic pressure?

A house pipe system's normal psi ranges from 30 to 80 psi. While you don't want the psi to be too low, anything above 80 is against the rules. Instead, strive for a pressure of 60 to 70 psi.

5. What does the term bar signify in terms of the water pressure?

Water pressure is a measurement of the force of water flowing through your pipes. The force required to hoist 10 metres of water is measured in bars, with one bar equaling the force required to lift 10 metres of water. The minimum required pressure rating for each tap or shower will typically range from 0.1 to 3 bar.