Velocity from Dynamic Pressure Calculator

Formula

To calculate the Velocity from Dynamic Pressure:

\[ \text{V} = \sqrt{\frac{2q}{p}} \]

Where:

\( \text{V} \) is the velocity (m/s)
\( q \) is the dynamic pressure (Pascals)
\( p \) is the fluid mass density (kg/m³)

Pressure to Velocity Definition

Calculating a velocity from a dynamic pressure requires that you also know the density. Dynamic pressure arises from the movement of fluid through a volume.

Example Calculation 1

Let's assume the following values:

Dynamic Pressure \( q \) = 500 Pascals
Fluid Mass Density \( p \) = 1.225 kg/m³

Step 1: Calculate the velocity:

\[ \text{V} = \sqrt{\frac{2 \times 500}{1.225}} = \sqrt{\frac{1000}{1.225}} \approx \sqrt{816.33} \approx 28.57 \text{ m/s} \]

So, the Velocity is approximately 28.57 m/s.

Example Calculation 2

Let's assume the following values:

Dynamic Pressure \( q \) = 1000 Pascals
Fluid Mass Density \( p \) = 1.5 kg/m³

Step 1: Calculate the velocity:

\[ \text{V} = \sqrt{\frac{2 \times 1000}{1.5}} = \sqrt{\frac{2000}{1.5}} \approx \sqrt{1333.33} \approx 36.51 \text{ m/s} \]

So, the Velocity is approximately 36.51 m/s.