5 A plate is submerged vertically into the water What is the

5) A plate is submerged vertically into the water. What is the radius r of a hole to be cut from the center of ABCD to make the hydrostatic force on surface ABCD equal to the hydrostatic force on surfacc CDE. What is the moment of the total force about AB ? 2 m 22 m 45 45D

Solution

Solution:-

Hydrostatic force of portion CDE =Force on the circular part

H_p of CDE =2.2 +1/3

=2.53 m

Force Density * Volume = density * g *H_p*a rea of CDE

=1000 *9.81*2.53* 1

= 24.82 KN

Force of circular portion = Density * Volume

H_p= 1.1 m because proper dimension is not given.

Density * 9.81 * 3.14*r²*1. 1 =24.82*1000

r = 0.86 m