pressure in fluid

Question

Pressure increase with depth h in incompressible fluid?

RankGuru · Accepted Answer

1. **Hydrostatic Pressure**: Consider a parcel of fluid at rest. The weight of the fluid column above it exerts downward pressure.
2. **Derivation**: $P = 	ext{Force}/	ext{Area} = (	ext{Mass} 	imes g) / A = (ho 	imes 	ext{Volume} 	imes g) / A$.
3. **Volume link**: Since Volume $= A 	imes h$:
   - $P = \frac{ho (A h) g}{A} = ho g h$.
4. **Conclusion**: In a stationary incompressible fluid, the gauge pressure increases linearly with depth as **$ho g h$**.

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pressure in fluid

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