A submarine dives to a depth of 190 feet in the ocean. What is the force (in pou
ID: 1344817 • Letter: A
Question
A submarine dives to a depth of 190 feet in the ocean. What is the force (in pounds) acting on a hatch that has an area of 3.7 square feet?
WARNING: Do not use the information associated with any Figures in the chapter (round off errors). Do not consider atmospheric pressure in your calculation (the pressure inside of the submarine is maintained at 1 atmosphere, which offsets the 1 atmosphere of pressure that normally would be added to the gauge pressure). Do use the weight density form of the fluid pressure equation in order to work the problem in English units. This is a multi-step problem
Explanation / Answer
Given data
Area =3.7 square feet
Depth =190 feet
The volume of water above hatch is
V= 190 x 3.7 =703 ft^3
The specific weight of water is 64.3 lb/ft^3.
Therefore, the force acting on a hatch is
F= (64.3 lb/ft^3) (703 ft^3) = 45202.9 lbs
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