Question

98. ETWS A Malfunctioning Submarine. You and your team are inside a small research submarine in the Weddell Sea off the coast of western Antarctica, searching for undersea tunnels leading inland, when the sub suffers serious malfunctions. First, power fails, and you are left with only emergency batteries that will provide dim light and run the air purifying system for no more than 2 hours. Next, the valves to the ballast tanks (i.e., the mechanism used to control the buoyancy of the craft) inadvertently opened and the tanks completely filled with seawater, making the sub sink to the seabed, 70 feet below the surface. All safety devices, such as inflatable buoys that could be sent to warn those on the surface of the emergency, are nonfunctional. You find the submarine's operation manual and learn that there is a manual pump that can be used to expel water from the ballast tanks at a rate of about 1.0 gallon per minute (gpm). In the manual, you find that the mass of the submarine, with crew and supplies, and with empty ballast tanks, is 9250 kg. The shape of the sub is roughly cylindrical, with a length of 5.0 m and a diameter of 1.6 m. The ballast tanks are contained inside the submarine's body, and account for 15% of its total volume. Using the manual pump, how long will it take to remove enough water to float the submarine? The density of seawater is 1040 kg/m$^3$.

          98. ETWS A Malfunctioning Submarine. You and your team are inside a small research submarine in the Weddell Sea off the coast of western Antarctica, searching for undersea tunnels leading inland, when the sub suffers serious malfunctions. First, power fails, and you are left with only emergency batteries that will provide dim light and run the air purifying system for no more than 2 hours. Next, the valves to the ballast tanks (i.e., the mechanism used to control the buoyancy of the craft) inadvertently opened and the tanks completely filled with seawater, making the sub sink to the seabed, 70 feet below the surface. All safety devices, such as inflatable buoys that could be sent to warn those on the surface of the emergency, are nonfunctional. You find the submarine's operation manual and learn that there is a manual pump that can be used to expel water from the ballast tanks at a rate of about 1.0 gallon per minute (gpm). In the manual, you find that the mass of the submarine, with crew and supplies, and with empty ballast tanks, is 9250 kg. The shape of the sub is roughly cylindrical, with a length of 5.0 m and a diameter of 1.6 m. The ballast tanks are contained inside the submarine's body, and account for 15% of its total volume. Using the manual pump, how long will it take to remove enough water to float the submarine? The density of seawater is 1040 kg/m$^3$.

98. ETWS A Malfunctioning Submarine. You and your team are inside a small research submarine in the Weddell Sea off the coast of western Antarctica, searching for undersea tunnels leading inland, when the sub suffers serious malfunctions. First, power fails, and you are left with only emergency batteries that will provide dim light and run the air purifying system for no more than 2 hours. Next, the valves to the ballast tanks (i.e., the mechanism used to control the buoyancy of the craft) inadvertently opened and the tanks completely filled with seawater, making the sub sink to the seabed, 70 feet below the surface. All safety devices, such as inflatable buoys that could be sent to warn those on the surface of the emergency, are nonfunctional. You find the submarine's operation manual and learn that there is a manual pump that can be used to expel water from the ballast tanks at a rate of about 1.0 gallon per minute (gpm). In the manual, you find that the mass of the submarine, with crew and supplies, and with empty ballast tanks, is 9250 kg. The shape of the sub is roughly cylindrical, with a length of 5.0 m and a diameter of 1.6 m. The ballast tanks are contained inside the submarine's body, and account for 15% of its total volume. Using the manual pump, how long will it take to remove enough water to float the submarine? The density of seawater is 1040 kg/m$^3$.

Added by Eric G.

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