The pressure in a fluid increases with depth because of the weight of the fluid above. In a fluid of constant density ρ, the difference in pressure, P2 − P1, between two points sep... The pressure in a fluid increases with depth because of the weight of the fluid above. In a fluid of constant density ρ, the difference in pressure, P2 − P1, between two points separated by a vertical distance h is P2 − P1 = ρgh. Fluid pressure is often measured in millimeters of mercury, or torr. One torr is the pressure exerted by a column of mercury that is 1 mm high. Pascal, abbreviated as Pa is another commonly used unit of pressure. The relationship between the torr and several of the other units used to measure pressure follows:
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The question provides information about fluid pressure, its relationship with depth, and various units of measurement. It seems to be educational content rather than a direct question.
Answer
The pressure difference is P2 − P1 = ρgh.
The pressure in a fluid increases with depth because of the weight of the fluid above. In a fluid of constant density ρ, the difference in pressure between two points separated by a vertical distance h is given by the formula: P2 − P1 = ρgh.
Answer for screen readers
The pressure in a fluid increases with depth because of the weight of the fluid above. In a fluid of constant density ρ, the difference in pressure between two points separated by a vertical distance h is given by the formula: P2 − P1 = ρgh.
More Information
This formula highlights how pressure increases linearly with depth in fluids of constant density. It's important in fields such as engineering and physics, particularly in understanding fluid mechanics and designing systems like submarines and hydraulic machines.
Tips
A common mistake is forgetting that this formula applies only when the fluid density is constant and assuming it works in cases with varying density.
Sources
- Variation of Pressure with Depth in a Fluid | Physics - courses.lumenlearning.com
- Bernoulli's Equation | Physics - Courses.lumenlearning.com - courses.lumenlearning.com
- 14.3: Fluids, Density, and Pressure (Part 2) - Physics LibreTexts - phys.libretexts.org
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