calculate the total pressure at an ocean depth of 6000 m (the depth at which the wreck of the titanic was found) in both pascals & lb/in^2
To calculate the total pressure at an ocean depth of 6000 m, we can use the hydrostatic pressure formula:
P = ρgh
where:
P is the pressure,
ρ (rho) is the density of the fluid,
g is the acceleration due to gravity, and
h is the depth.
First, let's calculate the pressure in pascals (Pa):
1. The density of seawater varies, but we can use an average value of 1025 kg/m³.
2. The acceleration due to gravity, g, is approximately 9.8 m/s².
3. The depth, h, is given as 6000 m.
Now we can substitute these values into the formula:
P = (1025 kg/m³) * (9.8 m/s²) * (6000 m)
Calculating this, we get:
P ≈ 59,916,000 Pa
To convert this pressure to pounds per square inch (psi), we need to know the conversion factor:
1 psi ≈ 6894.76 Pa
Now, let's substitute the value we calculated earlier:
Pressure in psi = (59,916,000 Pa) / (6894.76 Pa/psi)
Calculating this, we get:
Pressure ≈ 8697 psi
Therefore, the total pressure at an ocean depth of 6000 m is approximately 59,916,000 pascals (Pa) and 8697 pounds per square inch (psi).