GATE AG 2019 • Q30 NAT • 1 Mark

Section 2: Farm Machinery

Machine Design

Subtopic: Overload safety devices used in farm machinery

Question Statement:

Machine Design: Design and selection of machine elements – gears, pulleys, chains and sprockets and belts; overload safety devices used in farm machinery; measurement of force, stress, torque, speed, displacement and acceleration on machine elements - shafts, couplings, keys, bearings and knuckle joints. A pair of straight teeth spur gears is transmitting power at 500 rpm. The pinion has 16 standard full-depth involute teeth of module 8 mm. The pitch line velocity of the pinion in m s⁻¹ (rounded to 2 decimals) is ______.

Official Answer Key:

3.30 to 3.40

Step-by-Step Solution & Explanation

Pitch circle diameter of pinion, D = module × teeth = 8 mm × 16 = 128 mm = 0.128 m. Pitch line velocity v = πDN/60, with N = 500 rpm: v = π × 0.128 × 500 / 60 = 201.06 / 60 = 3.35 m/s. Answer: within 3.30–3.40.

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