The GATE Grind

GATE 2020 AG – Question 28

Farm Power · Tractors and Power Tillers · 1 mark · Numerical answer

A towed pneumatic wheel has unloaded radius 330 mm and travels 9.9 m in five revolutions without skid. Taking rolling radius equal to static loaded radius, find wheel deflection in mm (one decimal).

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Show answer and explanation

Correct answer: 14.7 to 15.1

Explanation

Rolling circumference is 9900/5=1980 mm. Loaded radius is 1980/(2π)=315.13 mm. Deflection is unloaded minus loaded radius: 330−315.13=14.87 mm, or 14.9.

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