Suppose that a $16$ m$/$s wind is blowing across the roof of your house. The density of air is $1\mathrm{.}29$ kg$/$m$3.$

a$)$ Determine the reduction in pressure $($below standard atmospheric pressure of stationary air$)$ that accompanies this wind.

$=$ Pa

b$)$ If the area of the roof of your house is $5\mathrm{.}1$ m x $6\mathrm{.}4$ m$,$ what is the force acting on your roof, and in which direction?

$=$ N

Direction of the force

DownUp$$

c$)$ If the maximum net force outward force your roof could withstand is $22000$ N at what wind speed will your roof blow outward?

$=$ m$/$s