If there is no slip and the creep in the transmission, then what is the equation for the velocity ratio in the open belt drive?

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SSC JE ME Previous Paper 4 ( Held on: 25 Jan 2018 Morning)
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  1. \(\frac{{{N_1}}}{{{D_1}}} = \frac{{{N_2}}}{{{D_2}}}\)
  2. \(\frac{{{N_1}}}{{{D_1}}} = \frac{{{D_2}}}{{{N_2}}}\)
  3. \(\frac{{{N_1}}}{{{N_2}}} = \frac{{{D_2}}}{{{D_1}}}\)
  4. None of these

Answer (Detailed Solution Below)

Option 3 : \(\frac{{{N_1}}}{{{N_2}}} = \frac{{{D_2}}}{{{D_1}}}\)
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Detailed Solution

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Explanation:

Velocity Ratio:

The velocity ratio is the ratio of the speed of the driven pulley to that of the driving pulley.

\(Velocity\;Ratio\;(VR)=\frac{N_2}{N_1}=\frac{D_1\;+\;t}{D_2\;+\;t}\)

In the case of belt drive where the slip (S) is present the velocity ratio is given by:

\(Velocity\;Ratio\;(VR)=\frac{N_2}{N_1}=\frac{D_1\;+\;t}{D_2\;+\;t}\left ( \frac{100\;-\;S}{100} \right )\)

In gear and chain drive velocity ratio is given by:

\(Velocity\;Ratio\;(VR)=\frac{N_2}{N_1}=\frac{D_1}{D_2}\)

∵ slip is absent and thickness is very less as compared to the diameter so it can be ignored, ∴ it is constant.

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