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Power and flow in turbines: dependence of work on water weight flow per second Consider a water turbine operating at a given head. How does the work done (per second, i.e., power) relate to the weight of water flowing per second? Choose the most accurate relation.

Difficulty: Easy

Correct Answer: Is directly proportional to the weight flow per second

Explanation:

Given / ConceptHydraulic power available = ρ g Q H, where ρ g Q is the weight flow per second and H is head.

ReasoningAt fixed head H, power (and thus work per second) is directly proportional to the weight flow ρ g Q. Doubling the weight flow doubles the available power and the work done per second (neglecting losses).

Final AnswerIs directly proportional to the weight flow per second.

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