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The water in a 25-m-deep reservoir is kept inside by a

Chapter 3, Problem 149P

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QUESTION:

The water in a 25-m-deep reservoir is kept inside by a 150-m-wide wall whose cross section is an equilateral triangle, as shown in Fig. P3-149. Determine (a) the total force (hydrostatic + atmospheric) acting on the inner surface of the wall and its line of action and (b) the magnitude of the horizontal component of this force. Take \(P_{\text{atm }}=100\mathrm{\ kPa}\).

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QUESTION:

The water in a 25-m-deep reservoir is kept inside by a 150-m-wide wall whose cross section is an equilateral triangle, as shown in Fig. P3-149. Determine (a) the total force (hydrostatic + atmospheric) acting on the inner surface of the wall and its line of action and (b) the magnitude of the horizontal component of this force. Take \(P_{\text{atm }}=100\mathrm{\ kPa}\).

ANSWER:

Step 1 of 5

In this question, we need to find the total force acting on the inner surface of the wall

In the second part, we need to find the magnitude of the horizontal component of the total force

Data given

Depth h = 25 m

Width w = 150 m

Atmospheric pressure \(P_{atm}=100\mathrm{\ kPa}=100,000\mathrm{\ N}/\mathrm{m}^2\)

Density of water \(\rho=1000\mathrm{\ kg}/\mathrm{m}^3\)

Considering the figure given

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