# Determine the length of the chain having 200 mm pitch and is used for speed reduction from 340 rpm to 120 rpm. The numbers of teeth on driving and driven sprockets are 20 and 40 respectively. The centre to centre distance between 2 sprockets is 540 mm and diameter of driven sprocket is 450 mm.

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Determine the length of the chain having 200 mm pitch and is used for speed reduction from 340 rpm to 120 rpm. The numbers of teeth on driving and driven sprockets are 20 and 40 respectively. The centre to centre distance between 2 sprockets is 540 mm and diameter of driven sprocket is 450 mm.

(a) 5.145 m

(b) 4.145 m

(c) 3.145 m

(d) 2.145 m

The question was asked by my college director while I was bunking the class.

This intriguing question comes from Mechanical Power Transmission topic in division Mechanical Power Transmission of Farm Machinery

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Correct choice is (d) 2.145 m

The explanation: $\frac{N2}{N1}=\frac{D1}{D2}$

D1=$\frac{120*0.48}{340}$

D1= 0.169 m

L=2*0.54*$\frac{π}{2}$ (0.169+0.48)+$\frac{[(0.48-0.169)^2]}{4*0.54}$

L = 2.145 m.

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