Ajanela de uma câmara hiperbárica usada para inspeção em plataformas submarinas tem uma área de 80,0 cm^2. se a pressão interna da câmara deve ser mantida a 101,0 kpa, que força, em newtons, deve a janela suportar se o mergulhador descer a uma profundidade de 400 m? considere a massa especifica da água igual a 1050 kg/m^3 e a pressão atmosfèrica igual a 10^5 pa.

32920 N

Explanation:

The question in english is written below:

The window of a hyperbaric chamber used for inspection on underwater platforms has an area of . If the chamber's internal pressure must be maintained at , what force, in newtons, should the window withstand if the diver descends to a depth of ? Consider the specific mass of water equal to and atmospheric pressure equal to .

We have the following data:

is the area of the window (considering )

is the internal pressure in the chamber

is the depth

is the density of water

is the atmospheric pressure ate the surface

Pressure is defined as the force exerted over an area :

(1)

On the other hand, we firstly have to find the pressure of water at a depth of , using the following equation:

(2)

Where is the acceleration due gravity

(3)

(4)

Now, if we want to find the force exerted on the window by the water outside and by the air inside we will use the following equation:

(5)

Rearranging:

(6)

Since :

(7)

Finding the force:

(8)

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