Calculating the Depth for 1 atm Gauge Pressure in Fresh Water

AI Thread Summary
To determine the depth required for a diver to experience a gauge pressure of 1 atm in fresh water, the formula used is gauge pressure = pgd, where p is the density of water, g is the acceleration due to gravity, and d is the depth. The correct density of fresh water is 1000 kg/m^3, not 1 kg/m^3. Using the correct values, the calculation shows that the depth needed is 10 meters, not the initially calculated 10130 meters. The error stemmed from an incorrect assumption about the density of water. Understanding the correct density is crucial for accurate pressure depth calculations.
rasen58
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Homework Statement


Approximately how deep into water must a diver dive to reach the point where the gauge pressure is 1 atm. (1 atm = 1.013 x 10^5 N/m^2) (assume fresh water)

Homework Equations


gauge pressure = pgd
density of fresh water p = 1 kg/m^3

The Attempt at a Solution


pgd = (1 kg/m^3)(10 m/s^2)(d) = 1.013 x 10^5 N/m^2
d = 10130 m

But the answer is actually 10 m. So what did I do wrong?
 
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Confirm your figure for water density. A cubic meter is a pretty big container!
 
Oh wow, I forgot that density of water is 1000 kg/m^3.
Thanks.
 
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