Final answer:
The pressure at the point of the roof can be determined using Bernoulli's equation with the given values of air density, velocity, and area. The pressure is approximately 1410.188 N/m².
Step-by-step explanation:
The pressure at the point of the roof can be determined using Bernoulli's equation. Bernoulli's equation relates the pressure, velocity, and height of a fluid flowing in a pipe or over a surface. In this case, the force due to the Bernoulli effect on the roof can be calculated using the equation:
Force = Pressure x Area
To find the pressure, we need to rearrange the equation:
Pressure = Force / Area
Substituting the given values:
Pressure = (air density x velocity²) / 2
where the air density is 1.14 kg/m³ and the velocity is 45.0 m/s. The area of the roof is given as 220 m².
Plugging in the values, we get:
Pressure = (1.14 kg/m³ x (45.0 m/s)²) / 2 / 220 m²
Pressure = 1410.188 N/m²
Therefore, the pressure at the point of the roof is approximately 1410.188 N/m².