What does Pascal's law state about pressures in an enclosed fluid?

What does Pascal's law state about pressures in an enclosed fluid?

• A. Pascal's law states that pressures applied to an enclosed fluid are transmitted equally in all directions.
• B. Pressure in a fluid increases with depth following P = ρ g h.
• C. Buoyant force equals the weight of the displaced fluid.
• D. Flow rate equals velocity times cross-sectional area.

Answer: (A)

When you apply pressure to a confined, incompressible fluid, that pressure is transmitted undiminished to every part of the fluid and to the walls of the container in all directions. This makes the pressure effectively the same everywhere inside the closed space, which is the principle behind hydraulic systems: a small force on a small-area piston creates the same pressure throughout the fluid, and that pressure acts on a larger piston to produce a larger force. The emphasis here is on how the applied pressure travels uniformly through the enclosed fluid, not on how pressure changes with depth or other fluid behaviors. The other ideas describe different situations: pressure that increases with depth in a still fluid (hydrostatic pressure) is a separate concept, buoyant force comes from the interaction of a body with displaced fluid, and flow rate relations deal with moving fluids rather than static pressure transmission in a sealed volume.

When you apply pressure to a confined, incompressible fluid, that pressure is transmitted undiminished to every part of the fluid and to the walls of the container in all directions. This makes the pressure effectively the same everywhere inside the closed space, which is the principle behind hydraulic systems: a small force on a small-area piston creates the same pressure throughout the fluid, and that pressure acts on a larger piston to produce a larger force. The emphasis here is on how the applied pressure travels uniformly through the enclosed fluid, not on how pressure changes with depth or other fluid behaviors.

The other ideas describe different situations: pressure that increases with depth in a still fluid (hydrostatic pressure) is a separate concept, buoyant force comes from the interaction of a body with displaced fluid, and flow rate relations deal with moving fluids rather than static pressure transmission in a sealed volume.