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GATE 2024 AG – Question 60

Irrigation and Drainage Engineering · Wells and Pumps · 2 marks · Numerical answer

A single-acting reciprocating pump at 40 rpm has piston diameter 20 cm and stroke40 cm. Suction/delivery heads are5/20 m and overall efficiency80%. Find required power in kW, to two decimals.

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Correct answer: 2.45 to 2.75

Explanation

Theoretical single-acting flow is $Q=ALN/60=(\pi.20^2/4)(.40)(40)/60=.00837758$ m³/s. Total static head is 25 m. With no slip specified, input power is $\rho gQH/\eta=1000(9.81)(.00837758)(25)/.8=2568.252$ W, or **2.57 kW**. A single-acting pump discharges once per revolution.

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