👉DENSITY & RELATIVE DENSITY

🚥Understanding density and relative density is essential in civil engineering, particularly in construction materials, soil mechanics, and fluid mechanics.

🔹 1. DENSITY (ρ)

Density is the mass of a substance per unit volume.

📌 Formula:
Density (ρ) = Mass (m) ÷ Volume (V)

📏 SI Unit: kg/m³

Example:

▪️ Iron block:
Mass = 7,850 kg
Volume = 1 m³
Density = 7,850 kg/m³

▪️ Wood block:
Mass = 600 kg
Volume = 1 m³
Density = 600 kg/m³

✅ For the same volume, a material with greater mass has a higher density.

🔹 2. RELATIVE DENSITY (SPECIFIC GRAVITY)

Relative density is the ratio of a substance's density to the density of water at a specified reference temperature.

📌 Formula:
Relative Density (RD) = Density of Substance ÷ Density of Water

💧 At 4°C, the density of water is approximately 1,000 kg/m³.

Important points:

▪️ Relative density has no unit because it is a ratio of two densities.
▪️ RD > 1: The material is denser than water.
▪️ RD < 1: The material is less dense than water.
▪️ RD = 1: The material has the same density as water under the stated reference conditions.

🔹 3. FLOATING AND SINKING

An object's behaviour in water depends on its average density and the buoyant force acting on it.

🪵 Floating:
When the average density of an object is less than the density of water, it can float.

Example: Wood.

🧱 Sinking:
When an object is denser than water, it generally sinks if fully immersed and released.

Example: A solid iron block.

📌 Applications in Civil Engineering:

✅ Determining the properties of construction materials.
✅ Soil mechanics and geotechnical engineering.
✅ Concrete and aggregate testing.
✅ Calculating material mass and volume.
✅ Understanding buoyancy and hydrostatic forces.

💡 Remember: Density tells us how much mass is contained in a given volume, while relative density compares a material's density with that of a reference substance.

💬 Test Your Knowledge:
A material has a density of 2,500 kg/m³.

⬆️What is its relative density compared with water at 4°C?

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