Density from Water Displacement Calculator

Formula

The formula to calculate density from water displacement is:

\[ D = \frac{m}{FW - IW} \]

Where:

D is the density (g/cm³)
m is the mass (grams)
FW is the final water level (mL)
IW is the initial water level (mL)

What is Water Displacement?

Water displacement is defined as the density of an object calculated through the displacement of a certain amount of water. This method is often used to determine the volume and density of irregularly shaped objects.

Example Calculation

Example 1:

Mass: 50 grams
Initial Water Level: 100 mL
Final Water Level: 120 mL

Calculation:

\[ D = \frac{50}{120 - 100} = \frac{50}{20} = 2.5 \text{ g/cm}^3 \]

Example 2:

Mass: 75 grams
Initial Water Level: 150 mL
Final Water Level: 175 mL

Calculation:

\[ D = \frac{75}{175 - 150} = \frac{75}{25} = 3 \text{ g/cm}^3 \]