👉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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