# Pressure Calculator & Converter (P=F/A, Pa/kPa/bar/atm/psi)

Solve pressure, force, or area from P=F/A, and convert between Pa, kPa, MPa, bar, atm, psi, Torr, inHg, kgf/cm²

> Canonical page: https://elysiatools.com/en/tools/pressure-conversion

- **Category:** Math & Numbers

- **Keywords:** pressure, force, area, pascal, kilopascal, bar, atmosphere, psi, torr, mmhg, pressure conversion, P=F/A, physics, mechanics

## Overview

Pressure is force per unit area.

Mode 1 — Formula P = F/A (three-way solver):
- Pressure:  P = F / A
- Force:     F = P · A
- Area:      A = F / P

Mode 2 — Unit converter across Pa, kPa, MPa, hPa, bar, atm, psi, Torr (mmHg), inHg, kgf/cm² (at).

Reference: 1 atm = 101325 Pa = 760 Torr = 14.696 psi.

## Inputs

- **Mode** (select)
- **Solve For** (select)
- **Pressure (P, Pa)** (number): leave blank when solving for pressure
- **Force (F, N)** (number): leave blank when solving for force
- **Area (A, m²)** (number): leave blank when solving for area
- **Value to Convert** (number): e.g. 1 (in the From Unit)
- **From Unit** (select)

## When to use

- When calculating mechanical pressure, force, or contact area using the fundamental physics formula P = F/A.
- When converting pressure readings between metric units like Pascals and imperial units like PSI or inches of mercury.
- When verifying laboratory measurements or engineering specifications that use different regional pressure standards.

## How it works

- Select the operation mode: either the P = F/A formula solver or the multi-unit pressure converter.
- For the formula solver, choose the target variable to calculate (pressure, force, or area) and input the two known values.
- For the converter, enter the numeric value and select the source unit from the dropdown menu.
- View the calculated result or the complete list of equivalent values across all supported pressure units instantly.

## Use cases

- Determining the pressure exerted by heavy machinery on a concrete foundation to ensure structural safety.
- Converting tire pressure specifications from PSI to bar for imported automotive maintenance.
- Calculating the required hydraulic cylinder force needed to achieve a target pressure over a specific piston area.

## Frequently asked questions

### What units does the converter support?

It supports Pascals (Pa), Kilopascals (kPa), Megapascals (MPa), Hectopascals (hPa), Bar, Atmospheres (atm), PSI, Torr (mmHg), Inches of Mercury (inHg), and Kilogram-force/cm² (at).

### What formula is used for the calculations?

The tool uses the standard physical formula P = F/A, where pressure equals force divided by area.

### What units must be used for the formula solver?

The formula solver uses standard SI units: Pascals (Pa) for pressure, Newtons (N) for force, and square meters (m²) for area.

### Can I calculate the required surface area if I know the force and pressure?

Yes, select 'Area (A)' in the 'Solve For' dropdown and input the force and pressure values.

### Is there a limit to the values I can convert?

No, the tool handles any positive real numbers, including small decimals and large scientific values.

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