Consider the speed control system shown in the figure wherein the inner loop corresponds to motor back e.m.f, the controller is an integrator with gain K observes that the load is inertia only. What is the value of K for which steady-state error to unit ramp input ( V_r ( s ) = 1s^2 ) is less than 0.01 rad/sec?

Consider the speed control system shown in the figure wherein the inner loop corresponds to motor back e.m.f, the controller is an integrator with gain K observes that the load is inertia only. What is the value of K for which steady-state error to unit ramp input $$\left(V_r\left(s\right)=\frac{1}{s^2}\right)$$   is less than 0.01 rad/sec?

Answer: Option D