Concept explainers
(a)
The fraction of the submarines volume is above the water surface when the tanks are filled with air.
(a)
Answer to Problem 92P
Explanation of Solution
Given:
Total mass of a submarine (including crew and equipment) is
The volume of a pressure hull is
The volume of a ballast tank is
Total volume of the submarine is,
Formula used:
The fraction of the submarine’s volume above the surface when the tanks are filled with air can be written as,
Where
Apply
Where
Using Archimedes’ principle, the buoyant force
Where,
Weight of the submarine is,
Where,
Substituting for
Substituting for
Calculation:
Substituting the numerical values in equation
Conclusion:
The fraction of the submarines volume is above the water surface when the tanks are filled with air is
(b)
The quantity of water must be admitted in to the tanks to give the submarine a neutral buoyancy.
(b)
Answer to Problem 92P
Explanation of Solution
Given:
Total mass of a submarine (including crew and equipment) is
The volume of a pressure hull is
The volume of a ballast tank is
Total volume of the submarine is,
Neglect the mass of any air in the tanks,
Specific gravity of sea water is
Formula used:
The volume of the sea water in terms of its mass and density is,
Applying the condition for neutral buoyancy,
Where,
Using Archimedes’ principle, the buoyant force
Where,
Weight of the submarine is,
Where,
Weight of the sea water is,
Where,
Substituting for
Substituting for
Calculation:
Substitute the numerical values in equation
Conclusion:
The quantity of water must be admitted in to the tanks to give the submarine a neutral buoyancy is
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Chapter 13 Solutions
SAPLING PHYS SCIEN&ENG W/MULTITERM ACCE
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