Q. 29

Question

The hydrostatic force exerted by water on one of the sides of a small cubical tank that is 4 feet to a side.

Step-by-Step Solution

Verified

Answer

$7000 l b$

1Step1. Given Information

Side of a cubical tank= 4feet

2Step2. Calculate

$F = F o r c e P = P r e s s u r e A = A r e a ρ = D e n s i t y F = P A = ρ g d A = δ d A A c c o r d i n g t o q u e s t i o n, δ = 62.5 x A = 2 x d A = 2 d x T h e r e f o r e, d F = δ d A = 62.5 x * 2 d x F = \int_{3}^{11} 2 * 62.5 * x d x F = 2 * 62.5 {[\frac{x^{2}}{2}]}_{3}^{11} F = 2 * 62.5 [\frac{11^{2}}{2} - \frac{3^{2}}{2}] = 7000 l b .$

Q. 28

Q. 30

Other exercises in this chapter

Q. 27

The work required to pump all of the water out of a cone with top radius 3.5 feet and height 4 feet.

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Q. 28

The work required to pump all of the water out of a cylinder with radius 3.5 feet and depth 4 feet.

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Q. 30

The hydrostatic force exerted by water on one of the shorter side walls of a rectangular container that is 3 feet long, 4 feet wide, and 2 feet deep.

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Q. 31

In Exercises 31–34, use a weighted average over n rectangles to approximate the centroid of the region described. The region between f(x) = √x

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