Physics Quiz: Part 7
An interactive quiz on the fundamentals of Fluid Mechanics.
🌊 Fluid Mechanics Core Concepts
Density (ρ) and Pressure (P): Density is mass per unit volume ($ρ = m/V$). Pressure is force per unit area ($P = F/A$). Pressure within a fluid increases with depth: $P_{gauge} = ρgh$.
Archimedes' Principle (Buoyancy): The upward buoyant force on a submerged object equals the weight of the fluid it displaces. $$F_B = ρ_{fluid} \cdot g \cdot V_{submerged}$$ An object floats if its weight is equal to the buoyant force, and sinks if its weight is greater.
Pascal's Principle: A pressure change in a confined fluid is transmitted everywhere. This allows for force multiplication in hydraulics: $F_1/A_1 = F_2/A_2$.
Bernoulli's Principle: Where fluid speed is high, pressure is low. Where fluid speed is low, pressure is high. This principle explains aerodynamic lift.
Problem 1: Pressure and Depth
EasyCalculate the gauge pressure at a depth of 100 meters in the ocean. The density of seawater is approximately $1025 \text{ kg/m}^3$. Use $g = 9.8 \text{ m/s}^2$.