The formula for wind force is derived from the basic principles of fluid dynamics. The wind force acting on an object is proportional to the square of the wind speed and is given by the equation:
F = 0.5 * ρ * A * C * V^2
where: F is the wind force acting on the object (in Newtons), ρ (rho) is the air density (in kg/m³), A is the reference area of the object perpendicular to the wind direction (in square meters), C is the drag coefficient (a dimensionless value that depends on the shape and orientation of the object), and V is the wind speed (in meters per second).
The formula accounts for the fact that wind force increases with the square of the wind speed. The other factors, such as air density, reference area, and drag coefficient, influence the overall magnitude of the wind force for a given wind speed.
It's important to note that this formula provides an approximation and simplification of the complex fluid dynamics involved in wind forces. Additionally, the drag coefficient and reference area vary depending on the shape and orientation of the object, so precise calculations may require specific information about the object in question.