If coefficient of speed fluctuation is 0.05 then ratio of maximum to minimum speed is

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BPSC AE Paper VI Mechanical 2024 Official Paper

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Answer 1

Concept:

The coefficient of speed fluctuation is defined as:

\( C_s = \frac{N_{\text{max}} - N_{\text{min}}}{N_{\text{mean}}} \)

And \(N_{mean}~=~\frac{N_{max}~+~N_{min}}{2}\)

Then:

\( N_{\text{max}} = N_{\text{mean}} \left(1 + \frac{C_s}{2} \right) \)

\( N_{\text{min}} = N_{\text{mean}} \left(1 - \frac{C_s}{2} \right) \)

Calculation:

\( \frac{N_{\text{max}}}{N_{\text{min}}} = \frac{1 + \frac{0.05}{2}}{1 - \frac{0.05}{2}} = \frac{1.025}{0.975} \approx 1.05 \)