GATE AG 2014 • Q28 NAT • 1 Mark

Section 5: Irrigation and Drainage Engineering

Wells and Pumps

Subtopic: Pump characteristics

Question Statement:

The discharge of a single suction centrifugal pump operating against a total head of 12 m is 50 L s⁻¹. If the pump is directly connected to a motor operating at 1440 rpm, the specific speed of the pump will be_______.

Official Answer Key:

49 to 50

Step-by-Step Solution & Explanation

Specific speed (metric, single-suction): N_s = N√Q / H^0.75, with N in rpm, Q in m³/s, H in m. N = 1440 rpm, Q = 0.05 m³/s, H = 12 m. √Q = √0.05 = 0.2236; H^0.75 = 12^0.75 = 6.448. N_s = 1440 × 0.2236 / 6.448 = 322.0/6.448 = 49.9, within the accepted range. Section 6 Evaporation and Drying

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