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 tractor drawn vertical rotor planter is operated in the field at a forward speed of 5 km h⁻¹. The effective diameter of the ground wheel of the planter is 0.5 m and the transmission ratio between the ground wheel and the rotor shaft is 1:1.
Options:
(A) 26
(B) 39
(C) 48
(D) 58
Official Answer Key:
C
Step-by-Step Solution & Explanation
For a trailed (unpowered) ground/gauge wheel, skid causes the wheel to under-rotate relative to the theoretical (no-skid) circumference for the actual distance travelled, i.e. actual distance per revolution = πD/(1−skid). Distance per revolution = π×0.5/(1−0.10) = 1.5708/0.90 = 1.745 m. Forward speed v = 5 km/h = 1.389 m/s. Wheel (= rotor, 1:1 ratio) rotational speed N = v/(distance per rev) = 1.389/1.745 = 0.7958 rev/s = 47.75 rpm ≈ 48 rpm, matching option (C).
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