The reciprocal of coefficient of fluctuation of speed is known as ______

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NHPC JE Mechanical 6 April 2022 (Shift 2) Official Paper
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  1. coefficient of vibration
  2. coefficient of readiness
  3. coefficient of steadiness
  4. coefficient of energy

Answer (Detailed Solution Below)

Option 3 : coefficient of steadiness
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Explanation:

Maximum fluctuation of speed:

The difference between the maximum and minimum speeds during a cycle is called the maximum fluctuation of speed.

Co-efficient of fluctuation of speed:

The ratio of the maximum fluctuation of speed to the mean speed is called the coefficient of fluctuation of speed.

Co-efficient of steadiness:

The reciprocal of the coefficient of fluctuation of speed is known as the coefficient of steadiness.

Let \({N_1}\) and \({N_2}\) = Maximum and minimum speeds in r.p.m. during the cycle

\(N\) = Mean speed in r.p.m. \(= \frac{{{N_1} + \;{N_2}}}{2}\)

Co-efficient of fluctuation of speed:

\({C_s} = \;\frac{{{N_1} - \;{N_2}}}{N} = \;\frac{{2\left( {{N_1} - {N_2}} \right)}}{{{N_1} + \;{N_2}}}\)

Co-efficient of steadiness:

\(\begin{array}{l} m = \frac{1}{{Coeff.\;of\;fluctuation\;of\;speed}}\\ = \frac{{{N_{mean}}}}{{{N_{max}} - {N_{min}}}} = \frac{{{N_1} + \;{N_2}}}{{2\left( {{N_1} - {N_2}} \right)}} \end{array}\)

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