GATE AG 2018 • Q33 NAT • 1 Mark

Section 2: Farm Machinery

Farm Machinery

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

Question Statement:

A self-propelled power reaper with a 1.2 m wide cutter bar was operated at a forward speed of 4 km h⁻¹. Turning loss during operation was observed to be 25 minutes per hectare. Neglecting any other losses, the field efficiency of the reaper will be ________ %.

Official Answer Key:

83.00 to 84.00

Step-by-Step Solution & Explanation

Theoretical field capacity, TFC = W × S / 10 = (1.2 × 4)/10 = 0.48 ha h⁻¹. Theoretical (productive) time = 1/0.48 = 2.0833 h ha⁻¹ = 125 min ha⁻¹. Total time = productive + turning = 125 + 25 = 150 min ha⁻¹. η_f = 125/150 × 100 = 83.33 % — within the official range 83.00–84.00.

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