A vertical dam on a large lake is $30$ ft tall and $60$ ft wide, and the water level is $1$ ft below the top of the dam. In the middle of the dam at the very bottom is a gate in the shape of an equilateral triangle $8$ ft on a side as shown in the figure below. $($Assume a density of water $\backslash (\backslash$rho$=62\mathrm{.}4\backslash$mathrm$\{$lb$\}/\backslash$mathrm$\{$ft$\}^\{3\}\backslash ).)$

Find the hydrostatic force $($in lb$)$ on the gate. $($Round your answer to the nearest integer.$)$

lb