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The highest and lowest vertices of a diagonal of a square lamina (each side equal to 4m) are 1 m and 3 m respectively as shown. What will be the water force (in kN) on the lamina?

(a) 78

(b) 118

(c) 157

(d) 196

I got this question by my college professor while I was bunking the class.

My enquiry is from Hydrostatic Force on Plane Area topic in division Hydrostatic Forces on Surfaces of Fluid Mechanics

1 Answer

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Best answer
Right choice is (c) 157

The explanation: Total liquid pressure on the lamina = F = γyA, where γ = specific weight of the liquid, y = depth of centroid of the lamina from the free surface, A= area of the centroid. Now, γ = 9.81 * 10^3 N / m^3; y = 1 + 3 – 1 / 2 = 2m, each side of the lamina =

Hence, F = 156:96 kN.

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