The disc and tilt angles of a single bottom disc plough having 0.76 m disc diameter are 50° and 25°, respectively. If the depth of ploughing is 0.25 m, width of cut of the plough in m is
Options:
(A) 0.508
(B) 0.526
(C) 0.546
(D) 0.559
Official Answer Key:
B
Step-by-Step Solution & Explanation
Width of cut of a disc plough: w = D·sin(θd)·cos(θt), where θd = disc angle and θt = tilt angle. w = 0.76 × sin(50°) × cos(25°) = 0.76 × 0.7660 × 0.9063 = 0.527 m ≈ 0.526 m, matching option (B). (Depth of ploughing is not required for width-of-cut; it is a distractor input relevant to a different sub-question.)
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