+1 vote
in Fluid Mechanics by (118k points)
The upper and lower edges of a square lamina of length 4 m are at a depths of 1 m and 3 m respectively in water. What will be the depth (in m) of the centre of pressure?

(a) 1.33

(b) 1.57

(c) 2.17

(d) 2.33

The question was posed to me in examination.

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

1 Answer

+2 votes
by (362k points)
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Best answer
Right choice is (c) 2.17

The explanation: The depth of the centroid y and the centre of pressure yCP are related by:

where I= the moment of inertia and A = area and θ = the angle of inclination of the lamina to the horizontal. Now,

= 2:17m.

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