Gauge pressure under water

  • #1
71
2

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?
 

Answers and Replies

  • #2
gneill
Mentor
20,913
2,862
Confirm your figure for water density. A cubic meter is a pretty big container!
 
  • #3
71
2
Oh wow, I forgot that density of water is 1000 kg/m^3.
Thanks.
 

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