Question
how deep under water would you need to be in order to be at double atmospheric pressure?
Answers
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Atmospheric pressure at the surface of the sea is about 1 atm, so to be at double atmospheric pressure, you would need to be at a depth where the pressure is 2 atm.
The pressure in a fluid, such as water, increases with depth due to the weight of the fluid above. The pressure at depth is given by the equation:
P = P0 + ρgh
where P is the pressure at depth h, P0 is the pressure at the surface (1 atm in this case), ρ is the density of the water, and g is the acceleration due to gravity.
Using this equation, we can solve for the depth at which the pressure is double atmospheric pressure:
2 atm = 1 atm + ρgh
ρgh = 1 atm
h = 1 atm / (ρg)
The density of water is approximately 1000 kg/m^3, and g is approximately 9.8 m/s^2. Plugging in these values, we get:
h = 1 atm / (1000 kg/m^3 x 9.8 m/s^2)
h = 0.102 meters or about 10.2 centimeters
Therefore, you would need to be about 10.2 centimeters or 4 inches underwater to experience double atmospheric pressure.
The pressure in a fluid, such as water, increases with depth due to the weight of the fluid above. The pressure at depth is given by the equation:
P = P0 + ρgh
where P is the pressure at depth h, P0 is the pressure at the surface (1 atm in this case), ρ is the density of the water, and g is the acceleration due to gravity.
Using this equation, we can solve for the depth at which the pressure is double atmospheric pressure:
2 atm = 1 atm + ρgh
ρgh = 1 atm
h = 1 atm / (ρg)
The density of water is approximately 1000 kg/m^3, and g is approximately 9.8 m/s^2. Plugging in these values, we get:
h = 1 atm / (1000 kg/m^3 x 9.8 m/s^2)
h = 0.102 meters or about 10.2 centimeters
Therefore, you would need to be about 10.2 centimeters or 4 inches underwater to experience double atmospheric pressure.