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15 August, 02:58

A research submarine has a 40.0 - diameter window 8.40 thick. The manufacturer says the window can withstand forces up to 1.20*106. What is the submarine's maximum safe depth?

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  1. 15 August, 04:44
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    First, calculate the pressure at which the window can be exposed, from the force it can withstand and the area. Second, calculate the depth of the sea for the calcualated pressure.

    I will assume that the diameter of the window is given in cm and that the force is given in newtons.

    1) P = F / A

    A = π*r^2 = π (0.20 m) ^2 = 0.125664 m^2

    P = 1.20 * 10^6 N / 0.125664 m^2 = 9.549*10^6 Pa

    2) Conversion: 1 meter of seawater = 10069.3064 Pa

    9.549*10^6 Pa * 1 msw / 10069.3064 Pa = 948 msw

    Answer: 948 m under the sea
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