Respuesta :
Answer:
See explanation
Explanation:
Solution:-
- We will first set a datum as the free surface of water in the pool.
- There is a square window with side length ( L = 8 m ) on the vertical side of the pool.
- The depth of the pool is given to be 54 m. The top of the window is ( d = 43 m ) from the free surface.
- We are to determine the resultant hydro static force acting on the window.
- Hydro static force ( F ) acting on an object of area ( A ) fully immersed in fluid is given by the following relationship as follows:
F = Pc*A
Where,
Pc: The hydrostaic pressure acting on the centroid of the obect.
- The hydrostatic pressure acting on the centroid of the object immersed in any fluid can be expressed by the following defining relationship:
Pc = γ*yc
Where,
γ: The specific weight of the fluid
yc: The vertical distance from free-surface to the centroid.
- Assuming homogeneous distribution of material used for the window of square shape. The centroid coincides with the geometric center of the window which is as a distance ( yc ) from the free-surface:
[tex]y_c = (d + \frac{L}{2} ) \\\\y_c = (43 + \frac{8}{2} ) \\\\y_c = 47 m[/tex]
- Now we can calculate the resultant hydro static force ( F ) acting on the window. The specific gravity of fluid ( water ) is γ = 9.8KN/m^3.
[tex]F = ( 9.8 ) * ( 47 )* ( 8 )^2\\\\F = 29479KN[/tex]
Note: The values given in the posted question seem unreasonable. I have assumed values in order of convenience. However, the procedure of solving the problem remains exactly the same.
