Underwater Pressure sunken ocean liner

[velvetymoogle]

Homework Statement

While exploring a sunken ocean liner, the principal research found the absolute pressure on the robot observation submarine at the level of the ship to be 413 atmospheres. The density of the surrounding saltwater was 1025kg/m^3. Calculate the gauge pressure on the sunken ocean liner. Calcuate the depth of the sunken ocean liner.

Homework Equations

Pabsolute = Pgauge + Patmosphere
P=Dgh

The Attempt at a Solution

For the gauge pressure, I know that atmospheric pressure is usually 1, but because we are underwater, isn't it a lot higher or is it the force that we feel that's high?
Is it just 413 - 1 = Pgauge?

Also for depth, I know you have to conver 412 atmospheres. Do you multiply it by 1.013x10^5 because that's the conversion factor with meters in it and then just divide by (1025 x -10) to get 4071.8m below the surface of the water?

 

[AngeloG]

Indeed; a good idea is to convert things from atmospheres into N / m^2.

Though, you can combine these two equations =).

Gauge pressure excludes atmospheric pressure by the way.

 

[velvetymoogle]

No, I know that. That's why I subtracted one. My work is right though, yes?

 

[Gyroscope]

No, I know that. That's why I subtracted one. My work is right though, yes?

All your work is fine.