Physics-submarine depth

Question

A research submarine has a 40-cm-diameter window that is 8.2 cm thick. The manufacturer says the window can withstand forces up to 1.1×10⁶ N.

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

Answer 1

Start by finding the pressure, P, that the window can withstand by using the formula P = F/A

Find the area of the window, A = π r² , they give you the diameter!

The thickness of the window is not relevant data here as you already have the manufacturers recommendation.

Then use the formula for pressure at a depth, P = P_o + ρgh, where P_o is atmospheric Pressure (1x10⁵ N/m²)

Since there is 1 atm of pressure in the submarine, you can ignore P_o .

ρ is the density of seawater, 1.03 g/cm³ .

Solve for h.

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