GATE AG 2020 • Q28 NAT • 1 Mark

Section 3: Farm Power

Tractors and Power Tillers

Subtopic: Traction theory

Question Statement:

A towed pneumatic wheel with unloaded radius 330 mm covers 9.9 m in 5 revolutions without skid. Assuming rolling radius = static loaded radius, find the tire deflection (mm). (Rounded to 1 decimal place)

Official Answer Key:

14.7 to 15.1

Step-by-Step Solution & Explanation

Rolling (loaded) radius = distance/(2π×revolutions) = 9.9/(2π×5) = 0.3151 m = 315.1 mm. Deflection = unloaded radius − loaded radius = 330 − 315.1 ≈ 14.9 mm.

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