The horizontal and vertical hydro static forces Fx and

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The horizontal and vertical hydro static forces F_x and F_y on the semicircular gate, having a width w into the plane of figure, are

1. F_x = ρghrw and F_y = 0
2. F_x = 2ρghrw and F_y = 0
3. F_x = ρghrw and F_y = ρgwr²
4. F_x = 2ρghrw and F_y = πρgwr²/2

Correct Option: D

F_x = 2ρghrw

F_y = w₂ - w₁	πr²	. ρg × w =	πr²ρgw
	2		2