ProblemSet3_soln_19.pdf - ECH 141 Problem Set#3 1 Calculate...

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ECH 141 Problem Set #3 1. Calculate the x- and y- components of the force exerted by the water on the curved surface in the figure below. Neglect the effect of atmospheric pressure. Use β =1m 1/2 .
or F x = ρ gW 6my y 2 2 0 4m = 1000 kg m 3 9.8 m s 2 W 6my y 2 2 0 4m or F x = ρ gW 6my y 2 2 0 4m = 1000 kg m 3 9.8 m s 2 4m ( ) W 4m ( ) . This result shows clearly that the mean pressure is the pressure at L-y=4m, or y=2m, half way up the gate, and the projected area is W(4m). The numerical result is F x W = 156,960 N m

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