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Diver ... (Military - Enlisted)

Real-Life Activities

Real-Life Math -- Solution

Air Pressure

The first step is to figure out the air pressure. Remember: there is 100 miles of air over your head at sea level, and the lake is 3,500 feet above sea level.

Air Pressure =1 atmosphere x (100 miles - 3,500 feet)

100 miles

Before performing the calculation, you need to convert 3,500 feet into miles so that you are working with the same units of measurement.

5,280 feet = 1 mile
3,500 / 5,280 = 0.663 miles

The lake is 0.663 miles above sea level.

Air Pressure = 1 atmosphere x (100 miles - elevation / 100 miles)
Air Pressure = 1 atmosphere x (100 miles - 0.663 / 100 miles)
Air Pressure = 0.9937 atmosphere

Water Pressure

One square inch of freshwater that is 34-feet high exerts a pressure of one atmosphere.

Water Pressure = 1 atmosphere x (diving depth / 34 feet)
Water Pressure = 1 atmosphere x (150 feet / 34 feet)
Water Pressure = 1 atmosphere x 4.412
Water Pressure = 4.412 atmosphere

Total Pressure = Air Pressure + Water Pressure
Total Pressure = 0.9937 + 4.412
Total Pressure = 5.457 atmosphere (atm)

The total pressure on the diver's body at 150 feet will be 5.457 atm.


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