GATE AG 2022 • Q30 NAT • 1 Mark

Section 3: Farm Power

Tractors and Power Tillers

Subtopic: Traction theory

Question Statement:

A two-wheel drive tractor is fitted with driving wheels having rolling radius of 860 mm. The effective gear ratio between the engine to the drive wheels is 98:1 and the power transmission efficiency at that gear ratio is 86%. If the engine torque is 520 N m, the ground thrust developed by the drive wheels in kN is __________. [round off to two decimal places]

Official Answer Key:

50.95 to 50.97

Step-by-Step Solution & Explanation

• Wheel torque = 520×98×0.86 = 43,825.6 N·m • Ground thrust = 43825.6/0.86(radius in m) = 50,960.0 N = 50.96 kN Computed value: 50.96 kN (within official range 50.95–50.97)

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