Question: A small stream near a mountain cabin is dammed up to produce a head of 2 m of water at the inlet to a hydroturbine,

A small stream near a mountain cabin is dammed up to produce a head of 2 m of water at the inlet to a hydroturbine, as sketched in Fig. 4.52. A distance upstream the flow is estimated to be 4 m/s in the 1.2-m-wide, 4-cm-deep stream. Estimate the maximum power that could be delivered by the hydroturbine. (This is one of the few times, maybe the only time, in this text that the potential energy must be retained.)
Figure 4.52
A small stream near a mountain cabin is dammed up

Upstream water level 2m Downstream water level

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