Answer:
The correct answer is option 'c': 13.8 kNm
Explanation:
We know that moment of a force equals
[tex]Moment=Force\times Arm[/tex]
The hydro static force is given by [tex]Force=Pressure\times Area[/tex]
We know that the hydrostatic pressure on a rectangular surface in vertical position is given by [tex]Pressure=\rho \times g\times h_{c.g}[/tex]
For the given rectangular surface we have [tex]h_{c.g}=\frac{h}{2}=\frac{1.5}{2}=0.75m[/tex]
Thus applying the values we get force as
[tex]Force=1000\times 9.81\times 0.75\times 1.5\times 2.5=27.59kN[/tex]
This pressure will act at center of pressure of the rectangular plate whose co-ordinates is given by h/3 from base
Thus applying the calculated values we get
[tex]Moment=27.59\times \frac{1.5}{3}=13.8kN.m[/tex]
