GATE AG 2011 • Q51 MCQ • 2 Marks

Section 2: Farm Machinery

Machine Design

Subtopic: Design and selection of machine elements – gears, pulleys, chains and sprockets and belts

Question Statement:

The size of motor required for operating the pump in kW is

Options:

  • (A) 3.60
  • (B) 3.96
  • (C) 4.24
  • (D) 4.65

Official Answer Key:

D

Step-by-Step Solution & Explanation

Hydraulic power actually delivered to the load = P×Q(actual) = 18×10⁶ Pa × 2×10⁻⁴ m³/s = 3600 W = 3.6 kW. The motor must supply more than this to cover both the volumetric loss (leakage) and mechanical loss (friction) inside the pump, i.e. the overall pump efficiency is η_v×η_m = 0.91×0.85 = 0.7735. Motor power = 3.6/0.7735 ≈ 4.65 kW, matching option (D). Section 3 — Farm Power 7 question(s) in this section: Q.5, Q.14, Q.15, Q.17, Q.30, Q.52, Q.53

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