Air pressure

The meteorological station measured the air pressure of 1060 hPa (hectopascals). In addition to measuring instruments, there is a residential house that has a flat roof with dimensions of 10 m and 28 m. What pressure force in MN (meganewtons) force the air on this roof?

Correct result:

x =  29.68 MN

Solution:

$$\begin{gathered} a=10\text{ m } \\ b=28\text{ m } \\ S=a\cdot b=10\cdot 28=280{\text{m}}^2 \\ p=1060\text{ hPa } \\ {p}_2=p\mathrm{/}10\mathrm{/}1000=1060\mathrm{/}10\mathrm{/}1000={\displaystyle \frac{53}{500}}=0.106\text{ MPa } \\ x=p_2\cdot S=0.106\cdot 280={\displaystyle \frac{742}{25}}={\displaystyle \frac{742}{25}}\text{ MN}=29.68\text{ MN} \end{gathered}$$

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