A reservoir is created by constructing a dam across a glacial valley Its wet face is vertical and has approximately the shape of a parabola, as shown in Figure 8 50 The water pressure p (pascals) varies with depth according to where p 0 is the pressure at the surface, g is the acceleration due to gravity and y metres is the height from the bottom of the parabola, as shown in the figure Calculate the total force acting on the wet face of the dam Figure 8 50 P Po gy 10g

Question: A reservoir is created by constructing a dam across a glacial valley. Its wet face is vertical and has approximately the shape of a parabola,

A reservoir is created by constructing a dam across a glacial valley. Its wet face is vertical and has approximately the shape of a parabola, as shown in Figure 8.50. The water pressure p (pascals) varies with depth according to

where p₀ is the pressure at the surface, g is the acceleration due to gravity and y metres is the height from the bottom of the parabola, as shown in the figure. Calculate the total force acting on the wet face of the dam.

Figure 8.50

15 m Xx+1 Xk Ayk Yk 10 m X 10 m

P= Po gy + 10g

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