Name: ______________________ Red ID __________________ Grade: _________

1. (20%) A planned reservoir has a total capacity of 5 million cubic meters (5 hm³). The catchment drainage area is 200 km². The mean annual runoff in the basin is 500 mm. The sediment yield is 1,350 Metric tons/km²/yr. The specific weight of sediment deposits is estimated at 13,000 N/m³. The sediments are coarse grained. How long will it take the reservoir to fill up to 80% capacity? Use five increments of reservoir capacity (from 5 hm³ to 0 hm³).

   
   

2. (20%) Calculate the diameter of a concrete culvert to pass the 50-yr flood, with Q₅₀ = 265 cfs. The inlet invert elevation is z₁ = 180 ft. The natural streambed slope is S_o = 0.01. The tailwater depth above the outlet invert is y₂ = 4.2 ft. The culvert length is 250 ft. The roadway shoulder elevation is 196 ft. Assume a 2-ft freeboard. Assume a circular concrete culvert (f = 0.018, n = 0.012), and square edge with headwalls.

   
   

3. (20%) Given V_o = 8 fps and V_A = 12 fps at p_o = 20 psia, calculate the pressure coefficient C_p and the velocity V_o that will just begin to cause cavitation in the slot. Assume T = 70^oF.

   
   

4. (20%) Given the system shown below, what is the discharge Q (m³/s) and corresponding head H (m) at the system operating point? Assume sharp entrance and exit losses. Assume f = 0.018. The performance curve of the pump is given by: H = 60 - 600 Q²

   
   

5. (20%) What head ΔH (m) will be developed for an axial-flow pump of D = 0.3 m operating at n = 900 rpm and discharging Q = 100 L/s? What power P (KW) will be required? The pump dimensionless performance curves are shown below.