Enter the flow rate through the nozzle (GPM) and the nozzle diameter (in) into the calculator to determine the Nozzle Pressure.

- All Pressure Calculators
- Nozzle Velocity Calculator
- Nozzle Reaction Force Calculator
- Density to Pressure Calculator

## Nozzle Pressure Formula

The following formula is used to calculate the Nozzle Pressure.

Pnozzle = [FR/(29.71*D^2)]^2

- Where Pnozzle is the Nozzle Pressure (psi)
- FR is the flow rate through the nozzle (GPM)
- D is the nozzle diameter (in)

To calculate the nozzle pressure, divide the flow rate by 29.71 times the diameter squared, then square this result.

## How to Calculate Nozzle Pressure?

The following two example problems outline how to calculate the Nozzle Pressure.

**Example Problem #1:**

- First, determine the flow rate through the nozzle (GPM). In this example, the flow rate through the nozzle (GPM) is given as 50.
- Next, determine the nozzle diameter (in). For this problem, the nozzle diameter (in) is given as 2.
- Finally, calculate the Nozzle Pressure using the equation above:

Pnozzle = [FR/(29.71*D^2)]^2

Inserting the values from above and solving the equation:

Pnozzle = [50/(29.71*2^2)]^2 = .177 (psi)

**Example Problem #2: **

Using the same process as above, first define the variables required by the formula. In this case, these values are:

flow rate through the nozzle (GPM) = 100

nozzle diameter (in) = .75

Entering these values yields:

Pnozzle = [100/(29.71*.75^2)]^2 = 35.805 (psi)