Discussion

The expression of sensitiveness of a governor is :

(N₁ = maximum speed; N₂ = minimum speed)

Answer: C

Sensitiveness is \(\frac{2(N_{1} - N_{2})}{(N_{1} + N_{2})}\).

The sensitiveness of a governor is the range of speed between its extreme positions divided by the mean speed.

\[ \begin{aligned} S &= \frac{N_{1} - N_{2}}{N}, \quad N = \frac{N_{1} + N_{2}}{2} \\ S &= \frac{2(N_{1} - N_{2})}{N_{1} + N_{2}} \end{aligned} \]

The other options invert the ratio or misplace the factor 2. A smaller speed range for the same mean speed means a more sensitive governor.

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