Gauge Pressure problem (algebra based)

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SUMMARY

The gauge pressure at a depth of 100 meters in water is calculated using the equation Pgauge = rho * g * h, where rho represents the density of the fluid, g is the acceleration due to gravity, and h is the depth. In this case, with a water density of 1000 kg/m³ and gravity at 9.8 m/s², the gauge pressure is determined to be 980 kPa. The discussion clarifies the meaning of the variables in the equation, particularly emphasizing that 'rho' denotes density, which is a standard notation in physics.

PREREQUISITES
  • Understanding of fluid mechanics principles
  • Familiarity with the concept of gauge pressure
  • Basic algebra skills for manipulating equations
  • Knowledge of SI units (kilograms, meters, seconds)
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  • Study the derivation and applications of the hydrostatic pressure equation
  • Learn about the significance of density in fluid dynamics
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Homework Statement


What is the gauge pressure at a depth of 100 m. in water?

Homework Equations


Pgauge = rho*g*h (or the pressure above atmospheric pressure)

The Attempt at a Solution



I missed a day of class (and on a summer class, that's a LOT of material). I am working problems that are assigned by the teacher over the internet. I'm sure these change of problems are things I can figure out, the problem I am having is understanding the equation for this problem. I can't seem to find where it talks about it in my book, I'm thinking because the teacher used either alternative symbols (because of limited keyboard characters), or he just likes to be different from the book.

I'm really just looking for help understanding the equation, what are the meanings of the different variables? I take it g*h is gravity*height (depth I presume), I'm not sure what "rho" would be though.

Edit: My theory is that "rho" is density of the liquid, not sure why he would use rho instead of something that makes sense like d.

To solve:

1000 kg/m^3 * 9.8 m/s^2 * 100 m = 980 kPa
 
Last edited:
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'rho' (the greek letter [tex]\rho[/tex]) is the commonly used symbol to represent density (mass per unit volume). The letter 'd' is often used for 'distance'; after a while, you run out of letters to use...
 

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