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Dynamic Pressure Calculator

1. What is a Dynamic Pressure Calculator?

Definition: This calculator computes the dynamic pressure (\( q \)) of a fluid in motion based on the formula \( q = \frac{1}{2} \rho v^2 \), where \( \rho \) is the fluid density, \( v \) is the velocity, and \( q \) is the dynamic pressure.

Purpose: It helps engineers and scientists analyze fluid dynamics in applications like aerodynamics, hydrodynamics, and vehicle design, particularly for understanding forces on objects moving through air or water.

2. How Does the Calculator Work?

Calculations are based on the dynamic pressure formula:

\[ q = \frac{1}{2} \rho v^2 \]

Unit Conversions:

Category Unit Conversion to SI Unit
Dynamic Pressure Pa (Pascals) 1 Pa
bar 1 bar = 100,000 Pa
psi (Pounds per square inch) 1 psi = 6894.76 Pa
at (Technical atmospheres) 1 at = 98,066.5 Pa
atm (Standard atmospheres) 1 atm = 101,325 Pa
Torr 1 Torr = 133.322 Pa
hPa (Hectopascals) 1 hPa = 100 Pa
kPa (Kilopascals) 1 kPa = 1000 Pa
MPa (Megapascals) 1 MPa = 1,000,000 Pa
inHg (Inches of mercury) 1 inHg = 3386.39 Pa
Density kg/m³ 1 kg/m³
g/cm³ 1 g/cm³ = 1000 kg/m³
g/ml 1 g/ml = 1000 kg/m³
lb/ft³ 1 lb/ft³ = 16.0185 kg/m³
lb/in³ 1 lb/in³ = 27679.9 kg/m³
lb/gal 1 lb/gal (US) = 119.826 kg/m³
Velocity m/s 1 m/s
km/h 1 km/h = 0.277778 m/s
ft/s 1 ft/s = 0.3048 m/s
mph 1 mph = 0.44704 m/s

3. Density of Common Materials

The following table provides density values for common materials at specific temperatures:

Material and Temperature Density (SI Unit: kg/m³)
Water at 0°C 1000
Water at 32°F 31.081
Air at 20°C 1.2
Air at 60°F 0.0379

Notes: These values are measured under standard conditions. When you select a material, the corresponding density value (in kg/m³) will automatically fill the input field. You can also enter a custom value in kg/m³ or use other density units.

4. Importance of Dynamic Pressure Calculation

Details: Accurate dynamic pressure calculations are essential for understanding fluid forces in motion, such as aerodynamic drag on aircraft, wind loads on structures, and hydrodynamic forces on ships.

5. Using the Calculator

Tips: Select or enter Density (kg/m³, g/cm³, g/ml, lb/ft³, lb/in³, lb/gal or choose a material), and enter Velocity (m/s, km/h, ft/s, mph). Results include dynamic pressure in multiple units (Pa, bar, psi, at, atm, Torr, hPa, kPa, MPa, inHg).

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