A spillway controls a reservoir 4.6 hectares in area. The permanent crest is at an elevation 75m. If water can be drawn from elevation 76.5m to elevation 75.5 m in 42 minutes, find the length of the spillway in meters. Use Francis Formula neglecting velocity of approach.

Water is discharged under a sluice gate at a rate of 75 m3 /s into a frictionless, horizontal, rectangular channel, 6 m wide. The depth just downstream of the gate is 1.25 m. Determine the depth just upstream of the gate opening The Froude number upstream and downstream of the sluice gate

A trapezoidal channel is lined with rock riprap and has a bottom width of 20 ft, 1.5:1 side slope (horizontal to vertical), a bottom slope of 0.0010 ft/ft, and a Manning n of 0.030. At the end of the canal the flow is critical before it hits an overfall with a spillway structure. Determine the critical and normal depth and sketch the water surface profile. (use a discharge of 1500 cfs)