Max Depth for Submarine in Water: Practical Physics Transpositions

[silk101]

Hello there. Can someone help me understand the following practical physics transpositions. I would like every last detail to be mentioned as I'm not really very sure on this at all.

A submarine has a maximum allowable pressure of 588.6kPa. It is in water at its usual density of 1000kg/m^3 what is the maximum depth this sub can achieve

Well to find out the pressure i need to do Height times Gravitational Pull times Rho.

How do i transpose this so that the height is the subject.


can you answer this with a detailed explanation and give me a few other transpositions with multiplications and divisions with explanations as io need to understand this as I am training to become an aircraft engineer.

 

[ice109]

what do you mean by transposition? to transpose something means to take it from one place and put it into another.

 

[tiny-tim]

Welcome to PF!

Well to find out the pressure i need to do Height times Gravitational Pull times Rho.

Hello silk101! Welcome to PF!

If h*g*rho = pressure, then you "transpose" by dividing both sides by g*rho, giving:

h = pressure/g*rho ​