Because the surface is curved, and there is surface tension acting within the surface. To get the surface to curve that way, the pressure on the concave side of the surface must be higher than on the convex side of the surface. The difference is 2S/r. This value follows from an equilibrium force balance, either on a part of the surface or on the entire surface.Suraj M said:
The excess pressure formula is a mathematical equation used to calculate the pressure at a specific point (Point A) in a fluid. It takes into account the density of the fluid, the acceleration due to gravity, and the depth of the point in the fluid. The formula is given as P = ρgh, where P is the pressure, ρ is the density of the fluid, g is the acceleration due to gravity, and h is the depth of the point in the fluid.
Excess pressure and absolute pressure are two different ways of measuring pressure in a fluid. Absolute pressure is the total pressure at a given point, including atmospheric pressure. Excess pressure, on the other hand, is the pressure above the atmospheric pressure. This means that excess pressure will always be a positive value, while absolute pressure can be either positive or negative.
Calculating pressure at a specific point in a fluid is important because it helps us understand the behavior of fluids. Pressure is a key factor in many fluid-related phenomena, such as fluid flow, buoyancy, and stability. By calculating pressure at a specific point, we can make predictions and decisions about how the fluid will behave in different situations.
The pressure at a point in a fluid can be affected by several factors, including the density of the fluid, the acceleration due to gravity, the depth of the point in the fluid, and the external forces acting on the fluid. Temperature and the compressibility of the fluid can also play a role in the pressure at a point.
The excess pressure formula is applicable to most fluids, including liquids and gases. However, it may not be accurate for highly compressible fluids, such as gases at high pressures, or for fluids with complex behavior, such as non-Newtonian fluids. In these cases, more advanced equations may be used to calculate pressure at a specific point in the fluid.