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A dam is inclined at an angle of 30° from the vertical and has the shape...

A dam is inclined at an angle of 30° from the vertical and has the shape of an isosceles trapezoid 40 ft wide at the top and 20 ft wide at the bottom and with a slant height of 30 ft. Find the hydrostatic force on the dam when it is full of water. (Round your answer to the nearest whole number. Recall that the weight density of water is 62.5 lb/ft3.)

Solutions

Expert Solution

Hydrostatic force, F = Pressure (P) x Area (A)

given that the inclined angle is 30o

then the height, h = 30 cos30

                              =26
Pressure when the dam is full, P = hρg= (30 cos30)(62.5)(9.81)

                                                             =26x62.5x9.81
                                                    P =15941.25         

Area, A = 0.5(40 + 20)(30 cos30)

              =0.5x60x26

          A =780

Therefore F=PxA

=15941.25x780

=1.243x108

genius_generous answered 2 years ago
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