GATE AG 2008 • Q69 MCQ • 2 Marks

Section 2: Farm Machinery

Farm Machinery

Subtopic: Calculation of performance parameters – field capacity, efficiency, performance index, application rate and losses

Question Statement:

A multi-crop thresher was tested utilizing power from a tractor PTO shaft and the fuel consumption recorded was 4.5 L h⁻¹. The brake thermal efficiency of the engine is 32 percent and density of the fuel having a heating value of 40 MJ kg⁻¹ is 825 kg m⁻³. If the transmission loss from the engine to PTO drive is 5 percent, the power consumed by the thresher is

Options:

  • (A) 8.66 kW
  • (B) 12.54 kW
  • (C) 13.20 kW
  • (D) 41.25 kW

Official Answer Key:

B

Step-by-Step Solution & Explanation

Mass fuel rate = 4.5 L/h × 825 kg/m³ ×(1 m³/1000 L) = 3.7125 kg/h = 0.0010313 kg/s. Engine power = η_bth × ṁ × HV = 0.32×0.0010313×40,000 kJ/kg = 13.2 kW. Power at PTO (after 5% transmission loss) = 13.2×0.95 = 12.54 kW.

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