Question $1$:

See the figure below. If the specific weight of the liquid is $400l\frac{b}{A^3}$ calculate the following. Show all the

calculations in detail up to up to two decimal places. $(25$ points$)$

$($a$)$ Calculate specific gravity of the liquid $(3$ points$)$

$($b$)$ Draw the pressure distribution diagram on the vertical plate $(3$ points$)$

$($c$)$ Calculate the depth to the bottom if pressure is $150$ psi at the bottom $(6$ points$)$

$($d$)$ Calculate the horizontal force acting on the vertical plate if the plate is $1ft$ wide $(8$ points$)$

$($e$)$ Calculate the location of the hydro$-$statics force on the plate $(5$ points$)$