As shown in the figure below, two tanks are connected with a vertical gate AB$,$ which is hinged at location $A.$ The tank on the left of the gate is a closed water tank with an air layer above the water withAs shown in the figure below, two tanks are connected with a vertical gate AB$,$ which is hinged at location $A.$ The tank on the left of the gate is a closed water tank with an air layer above the water with

density ${}_w=1000k\frac{g}{m^3}.$ The air pressure is measured by a pressure gauge $G,$ which reads $-10$kPa. The tank on the right of the gate is open to the atmosphere and filled with oil with specific

gravity $S{G}_{\text{O}\text{i}\text{l}}=0\mathrm{.}75.$ The tanks and the gate are $1\mathrm{.}9$m wide.

Given an elevation of water in the left tank of $h_1=5\mathrm{.}3m$ and of oil in the right tank $h_2=1\mathrm{.}6m,$ determine the following:

$($Note: When reporting your answer, consider that force towards right is positive and left is negative.$)$

$(1)$ pressure force acting on the gate;

$F_p=$

$(2)$ horizontal force on the gate at position $B$ to keep the gate $AB$ in its vertical position.

$F_B=$

density ${}_w=1000\frac{kg}{m^3}.$ The air pressure is measured by a pressure gauge $G,$ which reads $-13$kPa. The tank on the right of the gate is open to the atmosphere and filled with oil with specific

gravity $S{G}_{\text{O}\text{i}\text{l}}=0\mathrm{.}75.$ The tanks and the gate ar $1\mathrm{.}9$m wide $($in a direction perpendicular to the plane of the figure$).$

Given an elevation of water in the left tank of $h_1=5\mathrm{.}3m$ and of oil in the right tank $h_2=1\mathrm{.}6m,$ determine the following:

$($Note: When reporting your answer, consider that force towards right is positive and left is negative.$)$

$(1)$ pressure force acting on the gate;

$F_p=$

$(2)$ horizontal force on the gate at position $B$ to keep the gate $AB$ in its vertical position.

$F_B=$