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In a Gear Train of n wheels, the speed ratio is defined as
1. \(\frac{{\mathop N\nolimits_1 }}{{\mathop N\nolimits_n }}\)
2. \(\frac{{\mathop N\nolimits_n }}{{\mathop N\nolimits_1 }}\)
3. \(\frac{{\mathop T\nolimits_1 }}{{\mathop T\nolimits_n }}\)
4. \(\frac{{\mathop \omega\nolimits_n }}{{\mathop \omega\nolimits_1 }}\)

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Correct Answer - Option 1 : \(\frac{{\mathop N\nolimits_1 }}{{\mathop N\nolimits_n }}\)

Concept:

Speed ratio (or velocity ratio) of the gear train is the ratio of the speed of the driver to the speed of the driven or follower.

\(Speed\;ratio = \frac{{{\omega _{driver}}}}{{{\omega _{driven}}}} = \frac{{{\omega _1}}}{{{\omega _n}}} = \frac{{{N_1}}}{{{N_n}}} = \frac{{{T_n}}}{{{T_1}}} = \frac{1}{{Train\;Value}}\)

\(Train\;ratio = \frac{{{\omega _{drivev}}}}{{{\omega _{driver}}}} \)

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