An aquarium 6 ft long, 1 ft wide, and 4 ft deep is full of water. (Recall that the weight density of water is 62.5 Ib/ft.) (a) Find the hydrostatic pressure on the bottom of the aquarium. 8043.5 ]x Ib/ft2 (b) Find the hydrostatic force on the bottom of the aquarium. 48261 x lb (c) Find the hydrostatic force on one end of the aquarium. Jx lb

Principles of Physics: A Calculus-Based Text
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Chapter15: Fluid Mechanics
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**Hydrostatic Pressure and Force Calculations in an Aquarium**

Consider an aquarium that is 6 feet long, 1 foot wide, and 4 feet deep completely filled with water. The weight density of water is given as 62.5 pounds per cubic foot (lb/ft³).

**(a) Hydrostatic Pressure on the Bottom of the Aquarium:**
To determine the hydrostatic pressure on the bottom of the aquarium, the given answer is:
\[8043.5 \, \text{lb/ft}^2 \]
However, the answer is marked wrong as indicated by the red "X."

**(b) Hydrostatic Force on the Bottom of the Aquarium:**
To find the hydrostatic force exerted on the bottom of the aquarium, the provided answer is:
\[48261 \, \text{lb} \]
This answer is also marked incorrect.

**(c) Hydrostatic Force on One End of the Aquarium:**
To calculate the hydrostatic force on one end of the aquarium, the given value is:
\[0 \, \text{lb}\]
This answer is also marked incorrect.

The image does not contain any graphs or diagrams, only the textual problems and incorrectly marked solutions. The detailed explanation should focus on recalculating the pressures and forces to find the correct answers.
Transcribed Image Text:**Hydrostatic Pressure and Force Calculations in an Aquarium** Consider an aquarium that is 6 feet long, 1 foot wide, and 4 feet deep completely filled with water. The weight density of water is given as 62.5 pounds per cubic foot (lb/ft³). **(a) Hydrostatic Pressure on the Bottom of the Aquarium:** To determine the hydrostatic pressure on the bottom of the aquarium, the given answer is: \[8043.5 \, \text{lb/ft}^2 \] However, the answer is marked wrong as indicated by the red "X." **(b) Hydrostatic Force on the Bottom of the Aquarium:** To find the hydrostatic force exerted on the bottom of the aquarium, the provided answer is: \[48261 \, \text{lb} \] This answer is also marked incorrect. **(c) Hydrostatic Force on One End of the Aquarium:** To calculate the hydrostatic force on one end of the aquarium, the given value is: \[0 \, \text{lb}\] This answer is also marked incorrect. The image does not contain any graphs or diagrams, only the textual problems and incorrectly marked solutions. The detailed explanation should focus on recalculating the pressures and forces to find the correct answers.
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