Turbine

A turbine in a small hydroelectric power plant requires a minimum supply of 9600 liters of water every second to function. A supply channel with a rectangular cross-section leads to the power plant, in which water flows at a speed of 10 m/s. The width of the channel is 2 meters. Determine the minimum water level height required. Calculate everything for standard fresh water with a density of 1000 kg/m³.

Final Answer:

b =  0.48 m

Step-by-step explanation:

$$\begin{gathered} a=2\text{m} \\ {V}_1=9600\text{l}\to {\text{m}}^3=9600:1000{\text{m}}^3=9.6{\text{m}}^3 \\ v=10\text{m/s} \\ {V}_1=V_2 \\ {V}_1=a\cdot b\cdot v \\ b=\frac{V_1}{a\cdot v}=\frac{9.6}{2\cdot 10}=0.48\text{m} \end{gathered}$$

Try another example