Fluids problem.. physics 2?
A research submarine has a 20 cm diameter window 8.0cm thick. The manufacturer says the window can withstand a maximum force of 1.0 x 106 N. What is the submarine’s maximum safe depth? The pressure inside is maintained at 1.0atm
Answers
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Total force = force inside + force outside F = Pi A + Po A F = A (Pi + Po) F = π r² (Pi + ρgh) Solving for h: F / (π r²) = Pi + ρgh F / (π r²) - Pi = ρgh h = (F / (π r²) - Pi) / (ρg) Plug in and solve: h = (1×10⁶ N / (π (0.10 m)²) - 1.013×10⁵ Pa) / (1000 kg/m³ * 9.8 m/s²) h = 3200 m
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