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24 January, 23:43

A research submarine has a 30-cm-diameter window that is 8.6 cm thick. The manufacturer says the window can withstand forces up to 1.2*106 N.

What is the submarine's maximum safe depth in sea water? The pressure inside the submarine is maintained at 1.0 atm.

Express your answer using two significant figures.

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  1. 25 January, 01:13
    0
    First solve the area of the ow the window os the submarine

    A = pi * (0.15) ^2 = 0.0707 m2

    The pressure it can with stand is

    P = F/A = 1.2x10^6 N / 0.0707 m2 = 16976527.26 Pa

    Using the formala

    P = pgh

    Where p is the density of water

    G is the accelartion due to gravity

    H is the depth

    H = P/pg

    =16976527.26 Pa / (1000 kg/m3) (9.81 m/s2)

    H = 1730.53 m
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