Pressure, Depth, and Gauge Pressure
Unit: Fluids
Prerequisites
Lesson Preview
In a static (at rest) fluid, pressure increases with depth. Deeper layers support the weight of all fluid above them.
Consider a horizontal surface at depth below the fluid surface. The fluid column above has height and cross-sectional area .
The volume of the fluid column is
Since density is , the mass of this column is
The weight of the column acts downward on the surface:
Pressure is force per unit area. Dividing by :
This is the hydrostatic pressure formula:
Here is fluid density, is gravitational acceleration, and is depth. This assumes an incompressible, static fluid.
A key insight: pressure depends only on depth. The container shape and total fluid volume do not matter. At depth , the pressure acts equally in all directions—on floors, walls, and any submerged object.
... continued in the full lesson.
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