Reciprocating pump: theoretical power requirement (watts) Given: specific weight of liquid w (N/m³), discharge Q (m³/s), suction head Hs (m), delivery head Hd (m). Write the theoretical power to drive the pump (neglecting losses). Choose the correct option.
Mechanical Engineering
Hydraulic Machines
Difficulty: Easy
Choose an option
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Aw Q H<sub>s</sub>
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Bw Q H<sub>d</sub>
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Cw Q (H<sub>s</sub> − H<sub>d</sub>)
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Dw Q (H<sub>s</sub> + H<sub>d</sub>)
Answer
Correct Answer: w Q (H<sub>s</sub> + H<sub>d</sub>)
Explanation
Concept Pump power (ideal) = weight flow rate × total static head raised.
Calculation Weight flow rate = w Q (N/s). Total head = Hs + Hd. Ptheoretical = w Q (Hs + Hd) (watts).
Final Answerw Q (Hs + Hd)