Enter the fluid density, gravity, and height into the calculator to determine the static pressure of a fluid at a specific depth.
Static Pressure Formula
The following formula is used to calculate the static pressure of a fluid at a specific depth:
P = ρ * g * h
Variables:
- P is the static pressure (Pascals)
- ρ is the fluid density (kg/m³)
- g is the acceleration due to gravity (m/s²)
- h is the height of the fluid column above the point of measurement (m)
To calculate the static pressure, multiply the fluid density by the acceleration due to gravity and then by the height of the fluid column above the point of measurement.
What is Static Pressure?
Static pressure is the pressure exerted by a fluid at rest. It is a measure of the force per unit area exerted by the fluid in a container or by a column of fluid in a pipe due to gravity. It is an important parameter in fluid mechanics and engineering, as it affects the flow and distribution of fluids in systems.
How to Calculate Static Pressure?
The following steps outline how to calculate the Static Pressure.
- First, determine the fluid density (ρ) in kilograms per cubic meter (kg/m³).
- Next, determine the acceleration due to gravity (g) in meters per second squared (m/s²), typically 9.81 m/s² on Earth.
- Next, determine the height of the fluid column above the point of measurement (h) in meters (m).
- Next, gather the formula from above = P = ρ * g * h.
- Finally, calculate the Static Pressure (P) in Pascals.
- After inserting the variables and calculating the result, check your answer with the calculator above.
Example Problem:
Use the following variables as an example problem to test your knowledge.
Fluid density (ρ) = 1000 kg/m³
Gravity (g) = 9.81 m/s²
Height (h) = 10 m