A scuba tank is dropped overboard and sinks to the ocean floor 20 ft below (T = 62 F). The composite metal (SG = 4.5) tank has a mass of 31.7 lbm when empty and has an internal volume of 0.355 ft3. The tank is currently filled with air to about 3000 psig. To retrieve the tank, you plan to dive down, open the valve, and let out air until the tank begins to float upward. Will this work? If so, what will be the pressure in the tank (psig) when the scuba

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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**Scenario: Retrieving a Sunken Scuba Tank**

A scuba tank has accidentally been dropped overboard and has sunk to the ocean floor, 20 feet below the surface, where the temperature is 62°F. This tank, made from composite metal with a specific gravity (SG) of 4.5, has a mass of 31.7 lbm when empty and an internal volume of 0.355 ft³. Currently, the tank is filled with air at approximately 3000 psig.

**Objective:**
To retrieve the tank, the plan is to dive down, open the valve, and release air until the tank begins to ascend. The question is: Will this strategy be effective?

**Considerations:**
1. Determine the pressure in the tank (in psig) when it first starts to rise from the ocean floor. 
2. Evaluate whether it is possible for the tank to become buoyant enough to lift off the bottom.

**Solution Approach:**
To address the problem, consider the buoyant forces, tank mass, and pressure dynamics involved when releasing air. The balance between density of the tank, displaced water, and internal pressure needs to be calculated to evaluate flotation potential.
Transcribed Image Text:**Scenario: Retrieving a Sunken Scuba Tank** A scuba tank has accidentally been dropped overboard and has sunk to the ocean floor, 20 feet below the surface, where the temperature is 62°F. This tank, made from composite metal with a specific gravity (SG) of 4.5, has a mass of 31.7 lbm when empty and an internal volume of 0.355 ft³. Currently, the tank is filled with air at approximately 3000 psig. **Objective:** To retrieve the tank, the plan is to dive down, open the valve, and release air until the tank begins to ascend. The question is: Will this strategy be effective? **Considerations:** 1. Determine the pressure in the tank (in psig) when it first starts to rise from the ocean floor. 2. Evaluate whether it is possible for the tank to become buoyant enough to lift off the bottom. **Solution Approach:** To address the problem, consider the buoyant forces, tank mass, and pressure dynamics involved when releasing air. The balance between density of the tank, displaced water, and internal pressure needs to be calculated to evaluate flotation potential.
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