(Solved): A hydroelectric power plant, as shown in the figure on the left, draws in 30 \( \mathrm{m}^{3} / \m ...

A hydroelectric power plant, as shown in the figure on the left, draws in 30 \( \mathrm{m}^{3} / \mathrm{s} \) of water through its turbine and discharges it to the atmosphere at \( \mathrm{V}_{2} \) \( =2 \mathrm{~m} / \mathrm{s} \). The head loss in the turbine is \( \mathrm{h}_{\mathrm{L}}=20 \mathrm{~m} \). Assuming turbulent flow, \( \alpha=1.06 \), estimate the power in MW extracted by the turbine.