A window in a submersible needs to be able to withstand the incredible forces that water will exert at depth. If the window is 30 cm x 15 cm, what would the force exerted by the water be at a depth of 1 km

Respuesta :

Answer:

Explanation:

Area of the window, A = 30 cm x 15 cm = 0.045 m²

depth, h = 1 km = 1000 m

Let P is the pressure

P = h x d x g

where d is the density of water

P = 1000 x 1000 x 9.8 = 9.8 x 10^6 Pa

Force, F = Pressure x Area

F = 9.8 x 10^6 x 0.045

F = 4.41 x 10^5 N

Answer:

[tex]F=441000\ N[/tex]

Explanation:

Given:

dimension of the window, [tex](30\times 15)\ cm[/tex]

depth of window under water, [tex]d=1000\ m[/tex]

We know that the pressure due to liquid column is given as:

[tex]P=\rho.g.d[/tex]

where:

[tex]\rho=[/tex] density of water

[tex]g=[/tex] acceleration due to gravity

[tex]d=[/tex] depth of the water column at the desired position

[tex]P=1000\times 9.8\times 1000[/tex]

[tex]P=9800000\ Pa[/tex]

Now the force acting on the area of the window:

[tex]F=P.A[/tex]

where:

[tex]A=[/tex] area of the window

[tex]F=9800000\times (0.3\times 0.15)[/tex]

[tex]F=441000\ N[/tex]