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Gauge pressure under water

  1. Feb 8, 2015 #1
    1. The problem statement, all variables and given/known data
    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)

    2. Relevant equations
    gauge pressure = pgd
    density of fresh water p = 1 kg/m^3

    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?
  2. jcsd
  3. Feb 8, 2015 #2


    User Avatar

    Staff: Mentor

    Confirm your figure for water density. A cubic meter is a pretty big container!
  4. Feb 8, 2015 #3
    Oh wow, I forgot that density of water is 1000 kg/m^3.
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