GATE AG 2025 • Q29 NAT • 1 Mark

Section 3: Farm Power

Tractors and Power Tillers

Subtopic: Traction theory

Question Statement:

Nominal rear-wheel radius of a 2WD tractor = 0.5 m; rolling radius is 6% less than nominal. Field test: 20 revolutions of the rear wheel cover 56 m. Find rear-wheel slip (%). (Rounded to 2 decimal places)

Official Answer Key:

5.00 to 5.50

Step-by-Step Solution & Explanation

Rolling radius = 0.5×0.94 = 0.47 m. Theoretical distance for 20 rev = 20×2π×0.47 = 59.062 m. Slip = (theoretical − actual)/theoretical × 100 = (59.062−56)/59.062×100 = 5.18%.

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