1. What Is Density Calculation Using Water Displacement?

Density calculation using water displacement is based on Archimedes' principle, which states that the upward buoyant force exerted on a body immersed in a fluid is equal to the weight of the fluid that the body displaces. This method is particularly useful for measuring the density of irregularly shaped objects.

2. How Does The Calculator Work?

The calculator uses the fundamental density formula:

Where:

• \( \rho \) — Density (g/cm³)
• \( m \) — Mass of the object (g)
• \( V \) — Volume of water displaced (cm³)

Explanation: The formula calculates density by dividing the mass of an object by the volume of water it displaces when submerged, providing an accurate measurement of its density.

3. Importance Of Density Measurement

Details: Density measurement is crucial in material science, quality control, buoyancy calculations, and identifying substances. It helps determine purity, composition, and physical properties of materials.

4. Using The Calculator

Tips: Enter the mass in grams and the displaced volume in cubic centimeters. Ensure both values are positive numbers for accurate calculation. The displaced volume should be measured carefully using a graduated cylinder.

5. Frequently Asked Questions (FAQ)

Q1: What is Archimedes' principle?
A: Archimedes' principle states that any object, wholly or partially immersed in a fluid, is buoyed up by a force equal to the weight of the fluid displaced by the object.

Q2: Why use water displacement for density measurement?
A: Water displacement is ideal for irregularly shaped objects where geometric volume calculation is difficult. It provides a direct measurement of volume through fluid displacement.

Q3: What are typical density values for common materials?
A: Water has density of 1 g/cm³, aluminum ~2.7 g/cm³, iron ~7.87 g/cm³, gold ~19.3 g/cm³. Density helps identify materials and their purity.

Q4: How to accurately measure displaced volume?
A: Use a graduated cylinder, record initial water level, submerge object completely, record final water level, and calculate the difference.

Q5: What factors can affect density measurements?
A: Temperature (affects water density), air bubbles on object, inaccurate mass measurement, and parallax errors in volume reading can affect results.