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Real-Life Math

Many oceanographers find their way into the field through the sport of scuba diving. Oceanographer Judy McDowell says her time spent diving "adds another dimension to my work."

"Besides being relaxing and interesting, scuba diving puts me back in touch with the underwater environment I love so much. It helps me remember why my work is important."

There are some basic principles used by divers and oceanographers alike to make sure their ocean experiences are safe and their research results are accurate. One of these principles is that underwater pressure increases by 1 atmospheric pressure for every 33 feet of depth.

Consider this problem:

You want to use a delicate piece of equipment to take some underwater readings. The depth of the water in your study area is about 500 meters.

You need a casing that will protect your equipment at that depth.

If the "absolute pressure" at sea level is 1 atmosphere, and the pressure increases by 1 atmosphere every 33 feet after that, how much underwater pressure must your casing be able to withstand to protect your equipment?

For safety purposes, the casing must be designed to withstand 5 times the underwater pressure at 500 meters.

Hint: 1 meter = 3.28 feet

Hint 2: Be careful about your metric and imperial conversions -- as an oceanographer, you'll have to be comfortable using both.

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