Topic is Dynamic Fluids

Question

In an old house, a loose window rattles whenever there's a wind blowing outside the house. If the air inside the house is still and at a pressure 101250 Pa, what is the pressure outside the house if gusts of wind blowing across the surface have a speed of 17.9 m/s. Assume the density of air is 1.23 kg/m³. Submit your answer with at least 6 significant figures

Answer 1

According to Bernaulis’ theorem

1/2 (mv^2) + mgh + P V = constant

div by m

1/2 V ^2 + gh + P / d = Constant

here V = velocity

h = height from reference point

P = pressure

d = density

g= 9.8 m/s2

As h is same on both sides

1/2 V1^2 + P1/d1 = 1/2 V2 ^2 + P2/ d2

Plug in the values on two sides of the window and get unknown