## Wind Pressure & Force Calculator:

Enter the values of air density, p_{(kg/m3),} wind velocity, V_{(m/s)} and area of the surface, A_{(m2)} to determine the value of force due to wind pressure, F_{(N)}.

__Wind Pressure & Force Formula:__

__Wind Pressure & Force Formula:__

The force exerted by wind on a surface is a critical factor in the design and analysis of structures, vehicles, and natural environments. This force is determined by the dynamic pressure of the wind, which depends on the air density, the speed of the wind, and the area of the surface being impacted.

The force due to wind pressure, F_{(N)} is calculated by dividing the product of air density, p_{(kg/m3)} in kilogram per cubic metre, wind velocity, V_{(m/s)} in metre per second and area of the surface, A(m^{2}) in square metres by 2.

Force due to wind pressure, F_{(N)} = ( p_{(kg/m3)} * V^{2}_{(m/s)} * A_{(m2)} ) / 2

F_{(N)} = force due to wind pressure in Newton, N.

p_{(kg/m3)} = air density in kilogram per cubic metres, kg/m^{3}.

V_{(m/s) }= air velocity in metre per second, m/s.

A_{(m2)} = area of the surface in square metre, m^{2}.

__Wind Pressure & Force Calculation:__

__Wind Pressure & Force Calculation:__

1. Assume a billboard has an area of 10 square metres and is subjected to wind with a velocity of 15 metres per second. The air density is considered to be 1.225kg/m^{3}. Find the force exerted on the billboard.

Given: p_{(kg/m3)} = 1.225kg/m^{3}, V_{(m/s) }= 15m/s, A_{(m2)} =10m^{2}.

Force due to wind pressure, F_{(N)} = ( p_{(kg/m3)} * V^{2}_{(m/s)} * A_{(m2)} ) / 2

F_{(N)} = (1.225 * 15^{2} * 10) / 2

F_{(N)} = 1378.125N.

2. A wind exerting a force of 800 Newtons is blowing against a billboard. The wind velocity is 20 metres per second, and the air density is 1.225kg/m^{3}. Calculate the area of the billboard.

Given: p_{(kg/m3)} = 1.225kg/m^{3}, V_{(m/s) }= 20m/s, F_{(N)} = 800N.

Force due to wind pressure, F_{(N)} = ( p_{(kg/m3)} * V^{2}_{(m/s)} * A_{(m2)} ) / 2

A_{(m2)} = F_{(N)} * 2 / p_{(kg/m3)} * V^{2}_{(m/s)}

A_{(m2)} = 800 * 2 / 1.225 * 20^{2}

A_{(m2)} = 3.27m^{2}.