Answer:
The mathematical equation for the total pressure below the surface of a fluid that has air above it is given by the hydrostatic pressure equation:
P = P₀ + ρgh
Where:
- P is the total pressure below the surface of the fluid.
- P₀ is the atmospheric pressure above the fluid.
- ρ is the density of the fluid.
- g is the acceleration due to gravity.
- h is the depth of the fluid below the surface.
In this equation, the variables represent the following:
- P: Total pressure below the surface of the fluid.
- P₀: Atmospheric pressure above the fluid.
- ρ: Density of the fluid.
- g: Acceleration due to gravity.
- h: Depth of the fluid below the surface.
By using this equation, you can calculate the total pressure at any given depth below the surface of the fluid, taking into account the atmospheric pressure and the density of the fluid.