GATE AG 2014 • Q20 NAT • 1 Mark

Section 2: Farm Machinery

Machine Design

Subtopic: Measurement of force, stress, torque, speed, displacement and acceleration on machine elements – shafts, couplings, keys, bearings and knuckle joints

Question Statement:

A flywheel and clutch assembly weighs 200 N and has a radius of gyration 150 mm. If the engine speed is 3000 rpm, the kinetic energy possessed by the rotating assembly in kJ is_______.

Official Answer Key:

22.2 to 22.7

Step-by-Step Solution & Explanation

Mass, m = W/g = 200/9.81 = 20.39 kg. Radius of gyration, k = 0.15 m; moment of inertia I = mk² = 20.39 × 0.0225 = 0.4588 kg·m². ω = 2πN/60 = 2π(3000)/60 = 314.16 rad/s. KE = ½ Iω² = 0.5 × 0.4588 × (314.16)² = 0.5 × 0.4588 × 98,696 = 22,640 J ≈ 22.64 kJ. Farm Machinery

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