Power transmitted through a pipeline with head loss Let w be the specific weight (N/m³), Q the discharge (m³/s), H the supply head and h f the frictional head loss. Select the correct expression for the power delivered at the outlet.

Q: Power transmitted through a pipeline with head loss Let w be the specific weight (N/m³), Q the discharge (m³/s), H the supply head and h f the frictional head loss. Select the correct expression for the power delivered at the outlet.

Concept/Approach Power delivered equals weight flow rate times the available head at the outlet: P = w Q Hout = w Q (H - hf). Head loss reduces the usable head. Final Answer w × Q × (H - hf)

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Power transmitted through a pipeline with head loss Let w be the specific weight (N/m³), Q the discharge (m³/s), H the supply head and h<sub>f</sub> the frictional head loss. Select the correct expression for the power delivered at the outlet.

Difficulty: Easy

w × Q × H
w × Q × hf
w × Q × (H - hf)
w × Q × (H + hf)

Correct Answer: w × Q × (H - hf)

Explanation:

Concept/Approach
Power delivered equals weight flow rate times the available head at the outlet: P = w Q H_out = w Q (H - h_f). Head loss reduces the usable head.

Final Answer
w × Q × (H - hf)

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