A submarine has a total mass of 2 4 x 10 6 kg, including crew and equipment The vessel consists of two parts, the pressure hull, which has a volume of 2 x 10 3 m 3 , and the diving tanks, which have a volume of 4 x 10 2 m 3 When the sub cruises on the surface, the diving tanks are filled with air w...

a Applying the expression of Example 137 V V SW V V 1 ...

A submarine has a total mass of 2.4 x 10 6 kg, including crew and equipment. The

Question:

A submarine has a total mass of 2.4 x 10⁶ kg, including crew and equipment. The vessel consists of two parts, the pressure hull, which has a volume of 2 x 10³ m³, and the diving tanks, which have a volume of 4 x 10² m³. When the sub cruises on the surface, the diving tanks are filled with air; when cruising below the surface, seawater is admitted into the tanks.

(a) What fraction of the submarine’s volume is above the water surface when the tanks are filled with air?

(b) How much water must be admitted into the tanks to give the submarine neutral buoyancy? Neglect the mass of air in the tanks and use 1.025 as the specific gravity of seawater.