Q$1.35\%$

Write answers $($symbolic and numerical$)$ immediately below each part and show your key

working steps on the next page.

A $3m$ wide sluice gate controls the discharge from a large reservoir into a submerged sluiceway of

height $D$ and width $B=3m.$ The dimensions of the gate and reservoir are shown below.

a$)$ Draw an appropriately annotated pressure diagram for the gate when it is fully closed on an

empty sluiceway $(10\%).$

b$)$ Write a symbolic expression for the horizontal force on the gate when it is fully closed on an

empty sluiceway. Evaluate this for the dimensions shown. $(10\%)$

c$)$ Write a symbolic expression for the discharge $Q$ when the gate is open and the downstream

depth is d$.$ Evaluate this for $d=0\mathrm{.}3m.(15\%)$