For the basement of a new house, a hole is dug in the ground, with vertical sides going down 2.40 m. A concrete foundation wall is built across the 9.60-m width of the excavation. This foundation wall is 0.183 m from the front of the basement hole. During a rainstorm, drainage from the street fills up the space in front of the concrete wall, but not the basement behind the wall. The water does not soak into the clay soil. Find the force the water causes on the foundation wall. For comparison, the gravitational force exerted on the water is (2.40 m)(9.60 m)(0.183 m)(1 000 kg/m3)(10 m/s2) = 42.2 kN.

Answer :

Answer:

271.23 kN

Explanation:

Given that:

The depth of the hole(h) = 2.40 m

The width of the concrete foundation = 9.60 m

Area of the foundation (A) = 2.40 * 9.60 m² = 23.04 m²

The force  the water causes on the foundation wall now is calculated using the formula:

[tex]F = \frac{1}{2} h \rho_{\omega}g*A[/tex]

= [tex]\frac{1}{2}*2.40*100*9.81*23.04[/tex]

= 271.23 kN

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