Subtopic: Power transmission systems – gear trains, differential, final drives and power take-off
Question Statement:
In a tractor differential, the pinion on the propeller shaft has 12 teeth and the crown gear has 60 teeth. The propeller shaft rotates at 1000 rpm and the right rear axle rotates at 210 rpm while taking a left turn. The rotation of the left rear axle in rpm will be
Options:
(A) 170
(B) 180
(C) 190
(D) 200
Official Answer Key:
C
Step-by-Step Solution & Explanation
Crown-wheel (average axle) speed = propeller shaft rpm × (pinion teeth/crown teeth) = 1000 × 12/60 = 200 rpm. A differential enforces N_left + N_right = 2 × N_crown (average of the two axle speeds equals crown speed). So N_left = 2×200 − 210 = 190 rpm.
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