Sensitiveness of governor is defined as

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UKPSC JE Mechanical 2013 Official Paper I
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  1. \(\rm \frac{Range\ of\ speed}{mean\ speed}\)
  2. \(\rm \frac{mean\ speed}{Range\ of\ speed}\)
  3. Mean Speed × Range of speed
  4. None of these

Answer (Detailed Solution Below)

Option 1 : \(\rm \frac{Range\ of\ speed}{mean\ speed}\)
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Concept:

  • Consider two governors A and B running at the same speed
  • When this speed increases or decreases by a certain amount, the lift of the sleeve of governor A is greater than the lift of the sleeve of governor B
  • It is then said that the governor A is more sensitive than the governor B
  • In general, the greater the lift of the sleeve corresponding to a given fractional change in speed, the greater is the sensitiveness of the governor
  • The sensitiveness is defined as the ratio of the difference between the maximum and minimum equilibrium speeds to the mean equilibrium speed

\({\rm{Sensitiveness = }}\frac{{{\rm{Range}}\,{\rm{of}}\,{\rm{Speed}}}}{{{\rm{Mean}}\,{\rm{Speed}}}} = \frac{{{\omega _{\max }} - {\omega _{\min }}}}{{{\omega _{{\mathop{\rm m}\nolimits} ean}}}}\)

  • A governor is said to be isochronous when the equilibrium speed is constant (i.e. the range of speed is zero) for all radii of rotation of the balls within the working range, neglecting friction.

Additional Information

Sensitivity of Governor 

  • It is defined as the reciprocal of the Sensitiveness of the governor.
  • \(Sensitivity~=~\frac{1}{Sensitiveness}\)
  • \(Sensitivity~=~\frac{mean ~speed}{range~ of~ speed}~=~\frac{N_m}{N_2-N_1}\)
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