Pressure Converter

Calculate pressure using multiple formulas including force/area, hydrostatic pressure, and ideal gas law. Get instant results with comprehensive unit conversions and step-by-step calculations.

Force/Area Pressure Converter

Enter the force applied and the area over which it's applied

Formula: P = F/A
Where P = pressure, F = force, A = area
Example: Force = 100 N, Area = 0.01 m² → Pressure = 10,000 Pa

Hydrostatic Pressure Converter

Enter the fluid density, gravitational acceleration, and height

Formula: P = ρgh
Where P = pressure, ρ = density, g = gravity, h = height
m/s²
Example: Water (ρ=1000 kg/m³), g=9.81 m/s², h=10 m → Pressure = 98,100 Pa

Ideal Gas Law Pressure Converter

Enter the number of moles, temperature, and volume

Formula: P = nRT/V
Where P = pressure, n = moles, R = gas constant, T = temperature, V = volume
mol
Example: n=1 mol, T=298.15 K, V=0.0224 m³ → Pressure = 110,000 Pa

Pressure Conversion Examples

Force/Area: 100 N / 0.01 m²
Pressure: 10,000 Pa
Water: 10 m depth
Pressure: 98,100 Pa
Gas: 1 mol, 25°C, 22.4 L
Pressure: 110,000 Pa

About Pressure Converter

The Pressure Converter is a comprehensive tool for calculating pressure using three fundamental physics formulas: force/area (P = F/A), hydrostatic pressure (P = ρgh), and ideal gas law (P = nRT/V). Our converter provides instant pressure calculations with extensive unit conversions between Pascal (Pa), Bar, PSI, atmosphere (atm), mmHg, Torr, and more. Whether you're an engineering student, professional engineer, or scientist, this tool offers accurate results with detailed step-by-step calculations.

Supported Pressure Formulas

Our pressure converter supports three fundamental pressure calculation methods used across various scientific and engineering applications:

  • Force/Area (P = F/A): Calculate pressure from applied force over a given area
  • Hydrostatic Pressure (P = ρgh): Calculate pressure in fluids due to gravitational force
  • Ideal Gas Law (P = nRT/V): Calculate gas pressure using temperature, volume, and amount of gas

Key Features

Our pressure converter offers comprehensive features for accurate scientific and engineering calculations:

  • Multiple Formula Support: Three essential pressure calculation methods
  • Extensive Unit Support: Pascal, Bar, PSI, atm, mmHg, Torr, kPa, MPa
  • Automatic Unit Conversion: Instant conversion between all pressure units
  • Step-by-Step Calculations: Detailed breakdown of calculation process
  • Formula Display: Shows mathematical formulas and variable definitions
  • Calculation History: Save and review previous calculations
  • Example Calculations: Pre-filled examples for quick testing
  • Input Validation: Ensures accurate measurements and prevents errors
  • Copy Results: Easy sharing of calculation results
  • Mobile-Friendly: Fully responsive design for all devices
  • Professional Accuracy: Precise calculations for engineering applications
  • Educational Tool: Perfect for learning pressure concepts

How to Use the Pressure Converter

  1. Select the pressure formula you want to use (Force/Area, Hydrostatic, or Ideal Gas)
  2. Enter the required parameters for your chosen formula
  3. Choose appropriate units for each input parameter
  4. Click "Calculate Pressure" to get your result
  5. Review the pressure result with automatic unit conversions
  6. Check the step-by-step calculation breakdown
  7. Save to history or copy results for future reference
  8. Try different examples or clear inputs for new calculations

Pressure Formulas and Applications

Understanding pressure formulas is essential for various scientific and engineering applications. Here are the three fundamental formulas used by our converter:

Force/Area Pressure Formula (P = F/A)

Formula: P = F/A

Where P is pressure, F is the applied force, and A is the area over which the force is applied. This is the most basic pressure formula, directly relating force and area.

Applications: Mechanical engineering, structural analysis, hydraulic systems, material testing

Example: A force of 100 N applied over 0.01 m² results in a pressure of 10,000 Pa (10 kPa)

Hydrostatic Pressure Formula (P = ρgh)

Formula: P = ρgh

Where P is pressure, ρ (rho) is fluid density, g is gravitational acceleration, and h is the height or depth of the fluid column.

Applications: Fluid mechanics, underwater engineering, dam design, submarine operations, atmospheric pressure calculations

Example: Water at 10 m depth: ρ=1000 kg/m³, g=9.81 m/s², h=10 m → P = 98,100 Pa

Ideal Gas Law Pressure Formula (P = nRT/V)

Formula: P = nRT/V

Where P is pressure, n is number of moles, R is the universal gas constant (8.314 J/mol·K), T is absolute temperature, and V is volume.

Applications: Chemical engineering, thermodynamics, gas storage systems, HVAC design, laboratory calculations

Example: 1 mole of gas at 25°C (298.15 K) in 22.4 L volume → P = 110,000 Pa

Pressure Units and Conversions

Our converter supports comprehensive pressure unit conversions between metric, imperial, and specialized units:

Common Pressure Units

  • Pascal (Pa): SI base unit of pressure (1 Pa = 1 N/m²)
  • Kilopascal (kPa): 1 kPa = 1,000 Pa
  • Megapascal (MPa): 1 MPa = 1,000,000 Pa
  • Bar: 1 bar = 100,000 Pa (approximately atmospheric pressure)
  • Pounds per Square Inch (PSI): 1 PSI = 6,895 Pa
  • Atmosphere (atm): 1 atm = 101,325 Pa (standard atmospheric pressure)
  • Millimeters of Mercury (mmHg): 1 mmHg = 133.322 Pa
  • Torr: 1 Torr = 133.322 Pa (approximately 1 mmHg)

Conversion Examples

Key pressure conversions commonly used in engineering:

  • 1 atm = 101,325 Pa = 1.01325 bar = 14.696 PSI = 760 mmHg
  • 1 bar = 100,000 Pa = 14.504 PSI = 750.06 mmHg
  • 1 PSI = 6,895 Pa = 0.06895 bar = 51.715 mmHg
  • 1 MPa = 1,000,000 Pa = 10 bar = 145.04 PSI = 9.869 atm

Applications of Pressure Calculations

Pressure calculations have numerous practical applications across various fields:

Engineering Applications

  • Hydraulic Systems: Design pumps, cylinders, and pressure vessels
  • Pneumatic Systems: Calculate air pressure requirements for tools and machinery
  • Structural Engineering: Analyze loads and stresses in buildings and bridges
  • Aerospace Engineering: Calculate cabin pressure and atmospheric conditions
  • Automotive Engineering: Tire pressure, brake systems, and engine compression

Scientific Applications

  • Chemistry: Gas law calculations and reaction conditions
  • Physics: Fluid dynamics and thermodynamics experiments
  • Meteorology: Atmospheric pressure measurements and weather prediction
  • Oceanography: Deep-sea pressure calculations for submersibles
  • Materials Science: High-pressure material synthesis and testing

Industrial Applications

  • Manufacturing: Quality control and process optimization
  • Oil and Gas: Pipeline pressure calculations and safety systems
  • Water Treatment: Pump sizing and filtration system design
  • HVAC Systems: Air pressure balancing and duct design
  • Food Processing: Pressure cooking and packaging applications

Our Pressure Converter provides the accuracy and versatility needed for all these applications, from basic educational problems to complex engineering calculations. The tool's multiple formula support and comprehensive unit conversions make it suitable for both academic learning and professional engineering work.