What is the submarine's maximum safe depth?

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Homework Help Overview

The problem involves determining the maximum safe depth of a research submarine based on the specifications of its window, including its diameter, thickness, and the maximum force it can withstand. The context includes considerations of pressure exerted by seawater and the pressure maintained inside the submarine.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to apply the pressure equation to find the maximum depth but questions the validity of their calculation. Another participant raises a question about the relationship between force and pressure, prompting further exploration of the concepts involved.

Discussion Status

The discussion is ongoing, with participants exploring the relationship between force and pressure. Some guidance has been offered regarding the relevant equations, but no consensus or resolution has been reached yet.

Contextual Notes

Participants are working under the assumption that the pressure inside the submarine is constant at 1.0 atm and are considering the density of seawater in their calculations. The original poster's calculation appears to have resulted in an incorrect depth, leading to further inquiry.

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Homework Statement



A research submarine has a 17cm diameter window 6.0 cm thick. The manufacturer says the window can withstand forces up to 1.0X10^6 N. What is the submarine's maximum safe depth? Assume that the pressure inside the submarine is maintained at 1.0atm and that the density of seawater is 1030 kg/m^3.

Homework Equations



p = p0 + pgd

The Attempt at a Solution



I tried the following

1.0X10^6 = 1.013X10^5 + (1030)(9.8)d, and I got d = 89.033 and of course it was wrong.
 
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What's the relationship between force and pressure ?
 
p = F/A
 

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