GATE AG 2014 • Q18 NAT • 1 Mark

Section 2: Farm Machinery

Machine Design

Subtopic: Design and selection of machine elements – gears, pulleys, chains and sprockets and belts

Question Statement:

The pitch of the chain used in a chain drive motion is 38 mm. If the number of teeth on one of the sprockets is 35, the pitch circle diameter of the sprocket in m is_________.

Official Answer Key:

0.42 to 0.48

Step-by-Step Solution & Explanation

Pitch circle diameter: D = p / sin(180°/T), with p = 0.038 m, T = 35. 180°/35 = 5.1429°; sin(5.1429°) = 0.08963. D = 0.038 / 0.08963 = 0.4239 m.

Practice This in Real CBT Exam Interface

Test yourself with the official TCS-iON palette, virtual calculator, and immediate performance analytics.

Launch CBT Mock Test