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 seed broadcaster is operated at 10.8 km h⁻¹. The broadcaster has a horizontal seed plate located inside the hopper above the ground level. The diameter of the plate is 300 mm and its angular velocity is 80 rad s⁻¹. If the air resistance is neglected, the resultant velocity with which the seed mass is approaching the furrow 3 seconds after its release from the hopper is
Options:
(A) 29.40 m s⁻¹
(B) 30.52 m s⁻¹
(C) 31.75 m s⁻¹
(D) 41.40 m s⁻¹
Official Answer Key:
C
Step-by-Step Solution & Explanation
Forward (tractor) speed V_f = 10.8/3.6 = 3 m/s. Tangential seed-throw speed from the plate, V_t = ωr = 80×0.15 = 12 m/s. Combining these two horizontal components (taken as mutually perpendicular, since the throw direction is radial off the rotating plate while the machine travels forward) gives a resultant horizontal speed V_h = √(3²+12²) = 12.37 m/s. In free fall (no air resistance) over t=3 s from a horizontal release, the vertical speed gained is v_v = g t = 9.81×3 = 29.43 m/s. Resultant velocity = √(V_h²+v_v²) = √(12.37²+29.43²) = 31.93 ≈ 31.75 m/s (within rounding).
Practice This in Real CBT Exam Interface
Test yourself with the official TCS-iON palette, virtual calculator, and immediate performance analytics.