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Chapter 6: Q. 64 (page 557)

Find the hydrostatic force described in each of Exercises
61鈥�69.

The hydrostatic force exerted on one of the long sides of a rectangular swimming pool that is 8 feet long, 6 feet wide, and 4.5 feet deep.

Short Answer

Expert verified

The hydrostatic force exerted on one of the long sides of a rectangular swimming pool that is 8 feet long, 6 feet wide, and 4.5 feet deep is1498 pounds.

Step by step solution

01

Step 1. Given Information.

A rectangular swimming pool that is 8 feet long, 6 feet wide, and 4.5 feet deep

02

Step 2. Find Ak,dk

Area of the rectangular tub=6鈭�x

Depth,d=4.5-xk*

The density of the water is 62.4pounds.

03

Step 3. Find the hydrostatic force.

The hydrostatic force is given by,

F=蝇Akdk鈮�62.4(6鈭�x)4.5-xk*=鈭�k=1n62.4(6)(4.5-xk*)鈭�xF=鈭�0862.4(6)(4.5-x)dx=374.4[4.5x-x22]08 =374.4(4)=1498

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