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Hydrostatic pressure: vertical depth matters

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In a stationary liquid of constant density, pressure increases with vertical depth: Δp = ρgh. Container shape is absent from this relation. Total pressure also includes surface pressure.

Hydrostatic pressure: vertical depth matters
ObservationWhat it means
h = 1 m, water, g = 10 m/s²Δp = 10,000 Pa
h = 2 m, same waterΔp = 20,000 Pa

One worked example

  1. ρ = 1000 kg/m³, h = 3 mUse g = 10 m/s².
  2. Δp = 1000 × 10 × 3Multiply density, g and depth.
  3. Δp = 30,000 PaThis is additional pressure relative to the surface.

Watch out: Distinguish pressure increase from total pressure. Depth is vertical, not distance along a sloping wall.

Goal, prerequisites and card origin

What you will learn: Calculate the pressure increase ρgh.

What you need first: Density and pressure.

An original PEAZIT working card. Independent expert review and effectiveness testing have not yet taken place. · v1

Reference for the underlying principle ↗
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In a stationary liquid of constant density, pressure increases with vertical depth: Δp = ρgh. Container shape is absent from this relation. Total pressure also includes surface pressure.

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Book
WikibooksEN

Advanced Structural Analysis/Part I - Theory/Failure Modes/Plastic Failure/Yield Criterion/Hydrostatic Pressure Independent Materials

Link to the page “Advanced Structural Analysis/Part I - Theory/Failure Modes/Plastic Failure/Yield Criterion/Hydrostatic Pressure Independent Materials” in Wikibooks. Subject assignment uses its title and source categories.

About this resource

Topic assigned automatically · Record updated: 2026-10-08

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