A submarine is modeled as a cylinder with a length of 380 ft, a diameter of 50 ft, and a conning tower, as shown in the figure below. The submarine can dive a distance of 50 ft from the floating position in about 30 s. 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). 3% of cylinder 7% of cylinder volume volume 25 ft Ballast tank Partially submerged position 3 ft 50 ft Y'water = 64 lb/ft³ + Totally submerged position Water For the conditions illustrated, find (a) the weight of the submarine and (b) the volume of the water that must be in the ballast tank when the submarine is in neutral buoyancy. For seawater, S = 1.03. (a) W = (b) = x107 lb ft³

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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A submarine is modeled as a cylinder with a
length of 380 ft, a diameter of 50 ft, and a
conning tower, as shown in the figure below.
The submarine can dive a distance of 50 ft from
the floating position in about 30 s. 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).
3% of cylinder 7% of cylinder volume
volume
25 ft
Ballast tank
Partially
submerged
position
3 ft
50 ft
Y'water = 64 lb/ft³
Totally
submerged
position
Water
For the conditions illustrated, find (a) the
weight of the submarine and (b) the volume of
the water that must be in the ballast tank when
the submarine is in neutral buoyancy. For
seawater, S = 1.03.
(a) W =
(b) =
x107 lb
ft³
Transcribed Image Text:A submarine is modeled as a cylinder with a length of 380 ft, a diameter of 50 ft, and a conning tower, as shown in the figure below. The submarine can dive a distance of 50 ft from the floating position in about 30 s. 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). 3% of cylinder 7% of cylinder volume volume 25 ft Ballast tank Partially submerged position 3 ft 50 ft Y'water = 64 lb/ft³ Totally submerged position Water For the conditions illustrated, find (a) the weight of the submarine and (b) the volume of the water that must be in the ballast tank when the submarine is in neutral buoyancy. For seawater, S = 1.03. (a) W = (b) = x107 lb ft³
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