SOLUTION: A submarine can withstand 300 pounds per square inch of sea pressure before buckling. If sea pressure increases by 40 pounds per square inch for every 100 feet of depth, how deep

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Question 1037896: A submarine can withstand 300 pounds per square inch of sea pressure before buckling.
If sea pressure increases by 40 pounds per square inch for every 100 feet of depth, how deep can the submarine go if it wants to maintain 20% margin of safety?
Found 2 solutions by ikleyn, addingup:
Answer by ikleyn(52835)   (Show Source): You can put this solution on YOUR website!
.
A submarine can withstand 300 pounds per square inch of sea pressure before buckling.
If sea pressure increases by 40 pounds per square inch for every 100 feet of depth, how deep can the submarine go
if it wants to maintain 20% margin of safety?
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ 

20% margin of pressure gives you an admittable pressure of


300 - 300*0.2 = 260 pounds per square inch.


The determine the depth x (in feet) from the proportion

 = .

x = .


Please calculate it yourself.


Answer by addingup(3677)   (Show Source): You can put this solution on YOUR website!
300*.2 = 60 This is the 20% margin of safety.
Subtract margin of safety:
300-60 = 240
How deep can it go:
240/40 = 6 times 100 (40 pounds per square inch for every 100 feet of depth)
6*100 = 600 feet
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