How do I find the gauge pressure?

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SUMMARY

The gauge pressure at the bottom of a rectangular fish tank measuring 0.75 x 0.50 m filled with water to a height of 0.65 m can be calculated using the formula P = density x gravity x height. The density of water is taken as 1000 kg/m³, and gravity is 9.8 m/s². Therefore, the gauge pressure is determined by multiplying these values, resulting in a pressure of 6,370 Pa at the bottom of the tank.

PREREQUISITES
  • Understanding of fluid mechanics principles
  • Familiarity with the concept of gauge pressure
  • Knowledge of the formula P = density x gravity x height
  • Basic understanding of units of measurement (Pa, kg/m³)
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  • Research the effects of temperature and salinity on water density
  • Learn about hydrostatic pressure in different fluid scenarios
  • Explore the concept of absolute pressure versus gauge pressure
  • Investigate applications of pressure calculations in engineering contexts
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Students studying physics, engineers working with fluid systems, and anyone interested in understanding pressure calculations in practical applications.

jle1092
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A rectangular fish tank measuring .75 x .50 m is filled with water to a height of 65 cm. What is the gauge pressure on the bottom of the tank?

So I'm pretty sure I use the equation P=densityxgravityxheight

I know gravity is 9.8, but I'm not sure what height I should use considering it is at the bottom of the tank. Do I use 0? or .65 m? Also, I'm not sure what to do for the density. I don't have the mass of the tank so I can't use mass divided by volume. I know the density of water is 101,300 Pa per 10.6 m of water but I need density to be in kg/m^3 to get my answer in Pa. Can someone help
 
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Unless instructed otherwise, take the density of water to be 1000kg/m3, which is 1 g/cm3.

Yes, density changes with depth and temperature and salinity. But it's unlikely to vary much in a few feet of depth in an indoor, temperature regulated fish tank!
 

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