Pressure Calculator
Calculate pressure, force, and area using the fundamental formula P = F/A. Supports basic pressure, hydrostatic pressure, gas pressure, and unit conversions. Perfect for physics students, engineers, and anyone working with fluid mechanics.
What Is Pressure?
Pressure is the amount of force applied perpendicular to the surface of an object per unit area. It is defined by the formula: P = F / A, where P is pressure, F is force, and A is the area over which the force is distributed. Pressure is measured in pascals (Pa) in the SI system, where 1 Pa = 1 N/m².
This calculator supports three types of pressure calculations:
- Basic Pressure: P = F / A — the fundamental definition of pressure.
- Hydrostatic Pressure: P = ρ × g × h — the pressure exerted by a fluid column.
- Gas Pressure: P = nRT / V — the ideal gas law for gases.
How Does the Pressure Calculator Work?
The calculator uses the following formulas:
Basic Pressure: P = F / A, F = P × A, A = F / P
Hydrostatic Pressure: P = ρ × g × h
Gas Pressure: P = nRT / V (R = 8.314462618 J·mol⁻¹·K⁻¹)
For basic pressure, you can choose to solve for pressure, force, or area. The calculator hides the field for the quantity you're solving for and computes it from the other two values.
Why Use This Pressure Calculator?
- Three Modes: Supports basic pressure, hydrostatic pressure, and gas pressure.
- Flexible Solving: For basic pressure, solve for pressure, force, or area.
- Unit Conversions: Display results in Pa, kPa, MPa, bar, psi, or atm.
- Formula Display: See the formula used for each calculation.
- Free & Private: No registration, no data storage.
❓ Pressure Calculator FAQ
What is pressure?
Pressure is the force applied perpendicular to a surface per unit area. It is defined as P = F / A and is measured in pascals (Pa) in the SI system.
What is the formula for pressure?
The fundamental formula is P = F / A. For hydrostatic pressure: P = ρ × g × h. For gas pressure: P = nRT / V.
What is the unit of pressure?
In the SI system, pressure is measured in pascals (Pa), where 1 Pa = 1 N/m². Other common units include kilopascal (kPa), bar, psi, and atmosphere (atm).
What is the difference between pressure and force?
Force is a push or pull applied to an object, measured in newtons (N). Pressure is the force distributed over an area, measured in pascals (Pa). Pressure = Force / Area.
What is hydrostatic pressure?
Hydrostatic pressure is the pressure exerted by a fluid at rest due to the weight of the fluid above. It is calculated as P = ρ × g × h, where ρ is the fluid density, g is gravity, and h is the depth.
What is the ideal gas law?
The ideal gas law is PV = nRT, where P is pressure, V is volume, n is the number of moles, R is the gas constant (8.314462618 J·mol⁻¹·K⁻¹), and T is the absolute temperature.
What is the density of water?
The density of water at 4°C is approximately 1000 kg/m³. This is the standard value used in hydrostatic pressure calculations.
What is standard atmospheric pressure?
Standard atmospheric pressure at sea level is 101,325 Pa (1 atm), which is approximately 14.7 psi or 1.013 bar.
How do I calculate pressure from force and area?
Use the formula P = F / A. Divide the force (in N) by the area (in m²) to get the pressure in pascals (Pa). This calculator does this for you automatically.
How do I calculate force from pressure and area?
Use the formula F = P × A. Multiply the pressure (in Pa) by the area (in m²) to get the force in newtons (N).
How do I calculate area from pressure and force?
Use the formula A = F / P. Divide the force (in N) by the pressure (in Pa) to get the area in square meters (m²).
What is the difference between absolute pressure and gauge pressure?
Absolute pressure is measured relative to a perfect vacuum. Gauge pressure is measured relative to atmospheric pressure. Gauge pressure = Absolute pressure − Atmospheric pressure.
What is the acceleration due to gravity?
The standard acceleration due to gravity on Earth is approximately 9.81 m/s². This value varies slightly depending on altitude and latitude.
What is the gas constant R?
The universal gas constant is R = 8.314462618 J·mol⁻¹·K⁻¹. It appears in the ideal gas law PV = nRT.
How do I convert psi to Pa?
1 psi = 6,894.76 Pa. To convert psi to Pa, multiply by 6,894.76. To convert Pa to psi, divide by 6,894.76. This calculator includes unit conversion features.
What is the pressure at the bottom of the ocean?
At a depth of 10,000 meters (the Mariana Trench), the pressure is approximately 1,086 bar (108.6 MPa), which is over 1,000 times atmospheric pressure.
Can I use this calculator for real-world engineering applications?
Yes. This calculator is suitable for physics homework, engineering calculations, and real-world applications such as fluid mechanics, hydraulics, and pneumatics. Always verify results with professional tools for critical applications.