A hydroelectric power generating system is shown in the figure. Water flows from an upper reservoir to a lower one passing through a turbine at the rate of 286 liters per second. The total length of pipe connecting the two reservoirs is 186 m.

A dam 40m high has a spillway discharging at 2m deep and a crest length of 10m. If Cw = 3.2, find the discharge in cubic meters per second.

1) A pelton wheel is used to produce hydroelectric power. The average radius of the wheel is 1.83 m, and the jet velocity is 100 m/s from a nozzle of exit diameter equal to 10 cm. What is the volume flow rate through the turbine in m3/s? a) 263.02 b) 0.801 c) 78.54 d) 0.785 2) A water pump increases the pressure of the water passing through it (see picture below). The flow is assumed to be incompressible. If the outlet diameter is less than inlet diameter, which of the following about outlet and inlet fluid velocity is correct? a) Vout < Vin b) Vout > Vin c) Vout = Vin d) cannot be determined

Water is flowing in a 3 m wide rectangular channel. A hydraulic jump occurs and the flow upstream is 360 mm deep while the flow downstream from the jump is 1300 mm deep. A) Find the discharge flowing in the channel. B) Find the energy absorbed by the jump in kW. Please answer correctly