Density to Pressure Calculator

| Added in Physics

Understanding Pressure from Density

Pressure is the force per unit area exerted by a substance. When you know the density, volume, and area of distribution, you can calculate the resulting pressure using the relationship between mass, gravity, and area.

Formula

[\text{Pressure} = \frac{\text{Density} \times \text{Volume}}{\text{Area}} \times \text{Gravity}]

Where:

  • Density is measured in kg/m³
  • Volume is measured in m³
  • Area is measured in m²
  • Gravity is the standard acceleration (9.81 m/s²)
  • Pressure is the result in Pascals (Pa)

Example Calculation

Let's calculate the pressure for a material with:

  • Density: 30 kg/m³
  • Volume: 20 m³
  • Area: 15 m²

Step 1: Multiply density by volume
[30 \times 20 = 600 \text{ kg}]

Step 2: Divide by area
[\frac{600}{15} = 40 \text{ kg/m}^2]

Step 3: Multiply by gravity constant
[40 \times 9.81 = 392.4 \text{ Pa}]

The resulting pressure is 392.4 Pa.

Applications

This calculation is essential in:

  • Fluid mechanics for determining hydrostatic pressure
  • Structural engineering for load distribution analysis
  • Material science for stress calculations
  • Hydraulic systems design

Frequently Asked Questions

The formula is Pressure = (Density × Volume / Area) × Gravity, where gravity is the standard acceleration due to gravity (9.81 m/s²).

This calculator uses density in kg/m³, volume in m³, area in m², and returns pressure in Pascals (Pa).

Use this calculator when you need to determine the pressure exerted by a material based on its density, volume, and the area over which it is distributed. This is common in fluid mechanics and structural engineering applications.

The standard acceleration due to gravity on Earth is 9.81 m/s². This calculator assumes Earth-based calculations. For other planetary bodies, you would need a different gravity constant.