Specific weight, a fundamental concept in fluid mechanics and material science, refers to the weight of a substance per unit volume. It is a crucial parameter for understanding how materials behave under gravity and is widely used in engineering applications.
In simple terms, specific weight tells us how heavy a specific volume of a substance is. For example, a cubic meter of water weighs approximately 9.81 kN, while a cubic meter of steel weighs much more, around 78.5 kN. This difference in specific weight is evident in their respective densities and explains why steel sinks in water.
Here's a breakdown of the concept:
Specific weight plays a significant role in various engineering fields, including:
Here are some key points to remember about specific weight:
In conclusion, understanding specific weight is crucial for engineers and scientists working in various fields. By applying this concept, we can accurately analyze the behavior of substances under gravity and make informed decisions in designing and constructing structures, systems, and other applications.
Instructions: Choose the best answer for each question.
1. What is the definition of specific weight?
a) The weight of a substance per unit mass.
Incorrect. Specific weight is the weight per unit volume.
b) The weight of a substance per unit volume.
Correct! Specific weight is the weight of a substance per unit volume.
c) The mass of a substance per unit volume.
Incorrect. This defines density, not specific weight.
d) The volume of a substance per unit weight.
Incorrect. This is the inverse of specific weight.
2. Which of the following is the formula for specific weight (γ)?
a) γ = m/V
Incorrect. This formula represents density (ρ).
b) γ = ρg
Correct! Specific weight (γ) equals density (ρ) times acceleration due to gravity (g).
c) γ = V/m
Incorrect. This is the inverse of density.
d) γ = g/ρ
Incorrect. This is not a valid formula for specific weight.
3. Which of the following units is commonly used for specific weight?
a) kilograms per cubic meter (kg/m³)
Incorrect. This unit represents density.
b) Newtons per cubic meter (N/m³)
Correct! Specific weight is often expressed in N/m³.
c) meters per second squared (m/s²)
Incorrect. This unit represents acceleration.
d) pounds per square inch (psi)
Incorrect. This unit represents pressure.
4. Specific weight is directly proportional to:
a) The volume of the substance.
Incorrect. Specific weight is independent of volume.
b) The mass of the substance.
Incorrect. Specific weight is not directly proportional to mass.
c) The density of the substance.
Correct! Specific weight increases with increasing density.
d) The acceleration due to gravity.
Correct! Specific weight is directly proportional to the acceleration due to gravity.
5. In which field is specific weight NOT a crucial parameter?
a) Civil Engineering
Incorrect. Specific weight is crucial in civil engineering for calculating forces on structures due to water pressure.
b) Mechanical Engineering
Incorrect. Specific weight is essential for analyzing buoyancy and designing hydraulic systems.
c) Electrical Engineering
Correct! Specific weight is not directly relevant to electrical engineering applications.
d) Geotechnical Engineering
Incorrect. Specific weight plays a key role in determining soil stability and designing foundations.
Task: A rectangular block of concrete with dimensions 2m x 1m x 0.5m has a density of 2400 kg/m³. Calculate the specific weight of the concrete block and its total weight.
Calculate the volume:
Calculate the specific weight (γ):
Calculate the total weight:
Therefore, the specific weight of the concrete block is 23544 N/m³, and its total weight is 23544 N.
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