The water side of the wall of a 60-m-long dam is a quarter-circle with a radius of 7 m. Determine the hydrostatic force on the dam and its line of action when the dam is filled to the rim. Take the density of water to be 1000 kg/m3.

Explanation:

r = Radius of circle = 7 m

w = Width of dam = 60 m

h = Height of the dam will be half the radius =

A = Area =

V = Volume =

Horizontal force is given by

Vertical force is given by

Resultant force is

The hydrostatic force on the dam is .

The direction is given by

The line of action is .

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