An aquarium 6 ft long, 3 ft wide, and 2 ft deep is full of water. (Recall that the weight density of water is 62.5 lb/ft³.) (a) Find the hydrostatic pressure (in lb/ft2) on the bottom of the aquarium. 125 ✓ lb/ft2 (b) Find the hydrostatic force (in lb) on the bottom of the aquarium. 2250 lb (c) Find the hydrostatic force (in lb) on one end of the aquarium. Xlb D Enter a number.

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Chapter1: Units, Trigonometry. And Vectors
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**Title: Understanding Hydrostatic Pressure and Force in an Aquarium**

**Introduction**

An aquarium measuring 6 feet in length, 3 feet in width, and 2 feet in depth is completely filled with water. The weight density of water is 62.5 pounds per cubic foot. This exercise focuses on calculating the hydrostatic pressure and force exerted by the water on different surfaces of the aquarium.

**Problem Statements and Solutions**

1. **Hydrostatic Pressure on the Bottom of the Aquarium**

   - **Problem (a):** Find the hydrostatic pressure (in pounds per square foot, lb/ft²) on the bottom of the aquarium.
   - **Solution:** 125 lb/ft²

2. **Hydrostatic Force on the Bottom of the Aquarium**

   - **Problem (b):** Find the hydrostatic force (in pounds, lb) on the bottom of the aquarium.
   - **Solution:** 2250 lb

3. **Hydrostatic Force on One End of the Aquarium**

   - **Problem (c):** Find the hydrostatic force (in pounds, lb) on one end of the aquarium.
   - **Solution:** Enter a number

**Conclusion**

This exercise demonstrates the application of hydrostatic principles to determine the pressure and force exerted by a liquid in a contained environment, such as an aquarium. Understanding these principles is important in fields such as engineering and environmental science, where the behavior of fluids is a critical consideration.
Transcribed Image Text:**Title: Understanding Hydrostatic Pressure and Force in an Aquarium** **Introduction** An aquarium measuring 6 feet in length, 3 feet in width, and 2 feet in depth is completely filled with water. The weight density of water is 62.5 pounds per cubic foot. This exercise focuses on calculating the hydrostatic pressure and force exerted by the water on different surfaces of the aquarium. **Problem Statements and Solutions** 1. **Hydrostatic Pressure on the Bottom of the Aquarium** - **Problem (a):** Find the hydrostatic pressure (in pounds per square foot, lb/ft²) on the bottom of the aquarium. - **Solution:** 125 lb/ft² 2. **Hydrostatic Force on the Bottom of the Aquarium** - **Problem (b):** Find the hydrostatic force (in pounds, lb) on the bottom of the aquarium. - **Solution:** 2250 lb 3. **Hydrostatic Force on One End of the Aquarium** - **Problem (c):** Find the hydrostatic force (in pounds, lb) on one end of the aquarium. - **Solution:** Enter a number **Conclusion** This exercise demonstrates the application of hydrostatic principles to determine the pressure and force exerted by a liquid in a contained environment, such as an aquarium. Understanding these principles is important in fields such as engineering and environmental science, where the behavior of fluids is a critical consideration.
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