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Question

# Sometimes it is difficult to open an exterior door of a building because the air distribution system maintains a pressure difference between the inside and outside of the building. Estimate how big this pressure difference can be if it is “not too difficult” for an average person to open the door.

Solution

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Assuming that the average force to open a door is $50~\text{N}$ and the area of the door is $3~\text{m}^2$.

The pressure difference can be solved by dividing the force required to open the door and the area of the door.

\begin{align*} \Delta p&=\frac{F}{A}\\ &=\frac{50~\text{N}}{3~\text{m}^2}\\ &\boxed{16.67~\text{Pa}} \end{align*}

Using the assumptions, the force that is not to difficult" for an average person to open the door is $16.67~\text{Pa}$.

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