A speed control system of an engine is shown in Fig. P1.2. Determine: (a) Sensitivity of closed

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A speed control system of an engine is shown in Fig. P1.2. Determine:
(a) Sensitivity of closed loop system to changes in engine gain \(k_{1}\) and tachometer feedback gain \(k_{2}\).
(b) Steady state speed for reference speed \(=50 \mathrm{~km} / \mathrm{hr}, k_{1}=100, k_{2}=1\) and \(d(t)=0\)
(c) Steady state speed when there is \(5 \%\) change in \(k_{1}\) and other values as in part (b).
(d) Steady state speed when there is \(5 \%\) change in \(k_{2}\) and other values as in part (b).

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