In a certain gear train, the driver has 24 teeth while the follower has 8 teeth. For every _______ turns of the driver, the follower turns 36 times.

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This question was previously asked in

RRB ALP Fitter 23 Jan 2019 Official Paper (Shift 2).

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Answer 1

Concept:

Speed ratio (or velocity ratio) of the gear train:

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 = \(\frac{N_{driver}}{N_{driven}}=\frac{N_{1}}{N_{2}}=\frac{T_{2}}{T_{1}}\)

Where N and T are the speed and teeth of the gear. T₂ and T₁ are the numbers of gear teeth on the driven and driver gears.

Calculation:

Given:

T1 = 24, T2 = 8

N₂ = 36

Speed ratio = \(\frac{N_{driver}}{N_{driven}}\) = \(\frac{N_{1}}{N_{2}}\) = \(\frac{T_{2}}{T_{1}}\)

⇒ \(\frac{N_{1}}{N_{2}}\) = \(\frac{T_{2}}{T_{1}}\)

⇒ \(\frac{N_1}{36}~=~\frac{8}{24}\)

⇒ N₁ = 12

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