GATE AG 2020 • Q54 NAT • 2 Marks

Section 2: Farm Machinery

Farm Machinery

Subtopic: Functional requirements, principles of working, construction and operation of manual, animal, tractor and renewable energy operated equipment for tillage, sowing, planting, fertilizer application, inter-cultivation, spraying, mowing, chaff cutting, harvesting and threshing

Question Statement:

A chaff cutter's electric motor runs at 1440 rpm; speed reduction motor→main shaft = 4:1. Feed rollers (10 cm diameter) are driven by the main shaft with a further reduction of 15:1. The cutting unit (on the main shaft) has two knives. Find the theoretical length of cut chaff (mm). (Rounded to 2 decimal places)

Official Answer Key:

10.40 to 10.60

Step-by-Step Solution & Explanation

Main shaft speed = 1440/4 = 360 rpm. Feed roller speed = 360/15 = 24 rpm; feed (linear) speed = πDN = π×0.10×24 = 7.540 m/min. Knife cuts per minute = main-shaft rpm × number of knives = 360×2 = 720 cuts/min. Length of cut = feed speed/cuts per min = 7.540/720 m = 0.010472 m ≈ 10.47 mm.

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