Max Depth for Submarine in Water: Practical Physics Transpositions

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SUMMARY

The maximum depth a submarine can achieve is determined by the formula h = pressure / (g * ρ), where pressure is 588.6 kPa, g is the gravitational pull (approximately 9.81 m/s²), and ρ is the water density (1000 kg/m³). By transposing the equation, the maximum depth can be calculated as h = 588600 Pa / (9.81 m/s² * 1000 kg/m³), resulting in a maximum depth of approximately 59.9 meters. This discussion emphasizes the importance of understanding transposition in physics equations, particularly for those training in engineering fields.

PREREQUISITES
  • Understanding of basic physics concepts, particularly pressure and density
  • Familiarity with the formula for pressure in fluids: P = h * g * ρ
  • Knowledge of gravitational acceleration (g ≈ 9.81 m/s²)
  • Basic algebra skills for equation transposition
NEXT STEPS
  • Study fluid mechanics principles, focusing on hydrostatic pressure calculations
  • Learn about the implications of pressure on submarine design and safety
  • Explore advanced topics in physics related to buoyancy and density
  • Practice transposing various physics equations for different scenarios
USEFUL FOR

This discussion is beneficial for aspiring engineers, particularly those in aerospace and marine fields, as well as students seeking to enhance their understanding of physics and mathematical transposition in practical applications.

silk101
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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.
 
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what do you mean by transposition? to transpose something means to take it from one place and put it into another.
 
Welcome to PF!

silk101 said:
Well to find out the pressure i need to do Height times Gravitational Pull times Rho.

Hello silk101! Welcome to PF! :smile:

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

h = pressure/g*rho :smile:​
 

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