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GATE 2024 AG – Question 28

Farm Machinery · Machine Design · 1 mark · Numerical answer

A chain drive reduces a solar thresher motor from 240 rpm to 120 rpm. Driver has 20 teeth;driven sprocket pitch-circle diameter is 600 mm. Find chain pitch in mm, to two decimals.

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Correct answer: 46.00 to 48.00

Explanation

Speed ratio gives $z_2/z_1=N_1/N_2=2$,so the driven sprocket has 40 teeth. Chain pitch is the chord between adjacent tooth centers: $p=D\sin(\pi/z_2)=600\sin(\pi/40)=47.07546$ mm. Rounded as requested,**47.08 mm**.

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