A 3 -m-diameter vertical cylindrical tank is filled with...

A 3 -m-diameter vertical cylindrical tank is filled with water to a depth of $11 \mathrm{m} .$ The rest of the tank is filled with air at atmospheric pressure. What is the absolute pressure at the bottom of the tank?

Key Concepts

Hydrostatic Pressure

Hydrostatic pressure is the pressure exerted by a fluid at equilibrium due to the force of gravity. It increases linearly with depth because the weight of the fluid above exerts a downward force. The hydrostatic pressure in a fluid can be calculated using the formula P = ?gh, where ? is the fluid density, g is the acceleration due to gravity, and h is the depth below the free surface.

Absolute Pressure

Absolute pressure is the total pressure at a given point including both the atmospheric pressure and any additional pressure from the fluid column. It is the sum of the gauge pressure (pressure above atmospheric) and the atmospheric pressure. In fluid problems, absolute pressure is critical when determining the actual pressure exerted at a point inside the fluid system.

Atmospheric Pressure

Atmospheric pressure is the pressure exerted by the weight of the Earth's atmosphere and is the baseline pressure at the fluid's free surface when the fluid is open to the atmosphere. It must be included in calculations involving absolute pressure because it contributes to the overall pressure environment of the system.

Fluid Density

Fluid density is a measure of how much mass is contained in a given volume of the fluid. It is an essential parameter in hydrostatic pressure calculations, as the weight of the fluid column (which creates the hydrostatic pressure) directly depends on its density.

Gravitational Acceleration

Gravitational acceleration is the rate at which objects accelerate due to gravity, typically approximated as 9.8 m/s² near the Earth's surface. This constant is used in conjunction with fluid density and depth to determine the hydrostatic pressure within a fluid.

Please give Ace some feedback