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an exhaust fan keeps a room’s pressure at a vacuum pressure of 10 inch of water. what is the net force on the room door to the hallway. the door size is 8 ft by 3 ft.

Sagot :

The net force on the room door to the hallway. the door size is 8 ft by 3 ft due to an exhaust fan keeps a room’s pressure at a vacuum pressure of 10 inch of water is 5.554 Newton approximately.

The pressure(P) on the object is the amount of force applied per unit area.

Mathematically, the force(F) can be written in terms of pressure and area(A) as:

F = PA

Here the given data is:

A = [tex]8\ ft\times 3\ ft[/tex]

   = [tex]2.4384\times 0.9144 \ m^2[/tex]

P = [tex]10\ \text{inch of water}[/tex]

  = [tex]0.254 \times 9.80638 \ Pa[/tex]

Therefore the force can be written as:

F = [tex]0.254 \times 9.80638 \times 2.4384\times 0.9144[/tex]

  [tex]\approx 5.554 \ N[/tex]

Hence, the Net force is 5.554 Newton approximately.

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