A submarine is modeled as a cylinder with a length of (300 mathrm{ft}), a diameter of (50

Question:

A submarine is modeled as a cylinder with a length of \(300 \mathrm{ft}\), a diameter of \(50 \mathrm{ft}\), and a conning tower as shown in Fig. P2.148. The submarine can dive a distance of \(50 \mathrm{ft}\) from the floating position in about \(30 \mathrm{sec}\). Diving is accomplished by taking water into the ballast tank so the submarine will sink. When the submarine reaches the desired depth, some of the water in the ballast tank is discharged leaving the submarine in "neutral buoyancy" (i.e., it will neither rise nor sink). For the conditions illustrated, find

(a) the weight of the submarine

(b) the volume (or mass) of the water that must be in the ballast tank when the submarine is in neutral buoyancy. For seawater, \(S=1.03\).

Figure P2. 148