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​A gear train comprises of 4 spur gears – the driven gear G₁, two idlers G₂, G₃ and the driving gear G₄. The radii of G₁, G₂, G₃ and G₄ are r, r/2, r/
Question

​A gear train comprises of 4 spur gears – the driven gear G₁, two idlers G₂, G₃ and the driving gear G₄. The radii of G₁, G₂, G₃ and G₄ are r, r/2, r/3 and 2r, respectively. What is the ratio of angular velocities of G₁ to G₄ and their direction of rotation? ​

A.

Ratio = 1, opposite direction

B.

Ratio = 1/6, same direction

C.

Ratio = 2, Opposite direction

D.

Ratio = 1/2, same direction

Correct option is C

​​​​

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