1. A rectangular swimming pool is 4 feet deep, 75 feet long, and 25 feet wide. I
ID: 2860492 • Letter: 1
Question
1. A rectangular swimming pool is 4 feet deep, 75 feet long, and 25 feet wide. It is completely filled with water.
a. What is the hydrostatic force on the bottom of the pool?
b. What is the hydrostatic force on the shorter wall of the pool?
c. What is the hydrostatic force on the longer wall of the pool?
d. How much work is required to pump all the water out of the pool (i.e, up to the top of the pool)?
2. A dam has the shape of an isosceles trapezoid. It is 40 feet deep. Its base is 30 feet long while on the surface it measures 60 feet across. (Its thickness is irrelevant to the problem.) If the water reaches the top of the dam, what is the total hydrostatic force on the face of the dam?
Please answer and show work with all steps!
Explanation / Answer
If the depth of the pool is the same everywhere, then we have:
F=hA=hA
where:
h = the depth of the pool.
A = the surface area of the bottom of the pool.
Weight of water per cubic foot: =62.42796lb/ft^3
Depth: h=4 ft
Area of surface: A=(75 ft)(25 ft)=1875 ft^2
Thus, we find:
F=(62.42796lbft3)(4 ft)(1875 ft2)=468209.7 lb
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