Find the hydrostatic pressure on the bottom of the aquarium in lb/ft^2

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SUMMARY

The hydrostatic pressure at the bottom of a full aquarium measuring 5 ft in length, 1 ft in width, and 5 ft in depth is calculated using the weight density of water, which is 62.5 lb/ft³. The formula for hydrostatic pressure is given by δd, where δ is the weight density and d is the depth. In this case, the calculation simplifies to 62.5 lb/ft³ multiplied by the depth of 5 ft, resulting in a hydrostatic pressure of 312.5 lb/ft². The gravitational constant is not needed in this context as the weight density already accounts for it.

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  • Familiarity with units of measurement in fluid mechanics
  • Knowledge of weight density and its application
  • Basic algebra for unit conversion
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jorgegalvan93
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Homework Statement



An aquarium 5 ft long, 1 ft wide, and 5 ft deep is full of water. (Recall that the weight density of water is 62.5 lb/ft3.)

(a)Find the hydrostatic pressure on the bottom of the aquarium in lb/ft^2


Homework Equations



hydrostatic pressure = ρgd = δd
ρ = 62.5 lb/ft^3
g = 9.8 m/s^2
d = 5ft

The Attempt at a Solution



The equation is straightforward, but obtaining my answer in the unit asked, that's the problem. How does eliminate s^2?
 
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It says "weight density", and it asks for the answer in units of lb/ft^2, so I would assume all references to lbs here mean "lbs weight", not lbs mass. That means you don't need to multiply by g - it's included in the units.
 

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