GATE AG 2016 • Q15 NAT • 1 Mark

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 vertical rotor planter has 8 cells on each rotor. The rolling radius of the ground wheel is 200 mm. The ratio of rpm of the ground wheel to that of the rotor shaft is 2:3. If the planting is done at a forward speed of 3.5 km h⁻¹, the plant spacing in the rows in mm will be ______

Official Answer Key:

103 to 106

Step-by-Step Solution & Explanation

Forward speed v = 3.5 km/h = 972.2 mm/s. Ground-wheel rev. rate N_w = v/(2πr) = 972.2/(2π×200) = 0.7737 rev/s. Given N_w:N_rotor = 2:3, rotor speed N_r = N_w×(3/2) = 1.1605 rev/s. With 8 cells (seeds) dropped per rotor revolution, seed-drop rate = N_r×8 = 9.284 seeds/s. Plant spacing = v / (seed-drop rate) = 972.2/9.284 = 104.7 mm, within the accepted band 103–106.

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