Difficulty: Easy
Correct Answer: Correct
Explanation:
Introduction:
Fluid properties have multiple names across unit systems and industries. This question checks the equivalence of two common terms for the same quantity.
Given Data / Assumptions:
Concept / Approach:
Specific weight γ = ρ * g expresses how much weight a given volume of fluid possesses in a gravitational field. The term “weight density” is a synonym that emphasizes “weight per volume,” in contrast to mass density ρ (mass per volume).
Step-by-Step Solution:
1) Write γ = W / V.2) Relate W to mass m via W = m * g and m = ρ * V.3) Substitute to obtain γ = ρ * g.4) Therefore, “specific weight” and “weight density” refer to the same physical quantity.
Verification / Alternative check:
For fresh water near room temperature, ρ ≈ 1000 kg/m^3, so γ ≈ 9.81 kN/m^3; both terms are used interchangeably in handbooks.
Why Other Options Are Wrong:
Common Pitfalls:
Confusing mass density (ρ) with weight density (γ); they differ by g.
Final Answer:
Correct
Discussion & Comments