A submarine has a total mass of 2.18 106 kg, including crew andequipment. The vessel consists of two parts, the pressure hull,which has a volume of 1.84 103 m3, and the ballast tanks, whichhave a volume of 5.30 102 m3. When the boat cruises on the surface,the ballast tanks are filled with air at atmospheric pressure; tocruise below the surface, seawater must be admitted into the tanks.(Neglect the mass of air in the tanks and use 1.025 as the specificgravity of seawater.)
(a) What fraction of the submarine's volume is above the watersurface when the tanks are filled with air?
%
(b) How much water must be admitted into the tanks to give thesubmarine neutral buoyancy?
m3
The submarine is in equilibrium in both parts of the problem. Youcan use Archimedes' principle to connect the buoyant forces to thevolume of seawater the submarine displaces.
A submarine has a total mass of 2.18 106 kg, including crew andequipment. The vessel consists of two parts, the pressure hull,which has a volume of 1.84 103 m3, and the ballast tanks, whichhave a volume of 5.30 102 m3. When the boat cruises on the surface,the ballast tanks are filled with air at atmospheric pressure; tocruise below the surface, seawater must be admitted into the tanks.(Neglect the mass of air in the tanks and use 1.025 as the specificgravity of seawater.)
(a) What fraction of the submarine's volume is above the watersurface when the tanks are filled with air?
%
(b) How much water must be admitted into the tanks to give thesubmarine neutral buoyancy?
m3
The submarine is in equilibrium in both parts of the problem. Youcan use Archimedes' principle to connect the buoyant forces to thevolume of seawater the submarine displaces.
