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Density Dimensional Formula in CGS Units

Density Formula:

\[ \rho = \frac{M}{V} \]

grams (g)
cubic cm (cm³)

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1. What is Density in CGS Units?

Definition: Density (ρ) is a physical quantity representing mass per unit volume. In CGS (centimeter-gram-second) system, it's measured in grams per cubic centimeter (g/cm³).

Purpose: Understanding density helps in material characterization, buoyancy calculations, and fluid mechanics.

2. How Does the Density Formula Work?

The calculator uses the formula:

\[ \rho = \frac{M}{V} \]

Where:

Dimensional Formula: [ρ] = M¹ L⁻³ (Mass to the power of 1, Length to the power of -3)

3. Importance of Density Calculation

Details: Density determines whether materials float or sink, helps identify substances, and is crucial in engineering designs.

4. Using the Calculator

Tips: Enter mass in grams and volume in cubic centimeters. All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What is the CGS system?
A: Centimeter-Gram-Second system is a metric system using centimeters for length, grams for mass, and seconds for time.

Q2: How does CGS density compare to SI?
A: 1 g/cm³ equals 1000 kg/m³ (SI unit). Water's density is 1 g/cm³ in CGS.

Q3: What's the dimensional formula significance?
A: It shows how density relates to fundamental quantities (mass and length) and helps in unit conversions.

Q4: Can I use this for irregular objects?
A: Yes, if you can measure their mass and volume (e.g., via water displacement).

Q5: What materials have highest density?
A: Osmium (22.59 g/cm³) and iridium (22.56 g/cm³) are the densest natural elements.

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