Final answer:
The steady state error to a unit ramp input for the given unity feedback system with open loop transfer function G(s)=5/s(s+5) is determined to be 1.
Step-by-step explanation:
The question pertains to control systems, which is a sub-discipline of engineering focused on the behavior of dynamical systems. The open loop transfer function given is G(s)=5/s(s+5), and the system is of unity feedback configuration. To find the steady state error to a unit ramp input, one method involves using the Final Value Theorem and finding the system type from the open loop transfer function. Since the system type is based on the number of pure integrators in the open loop transfer function (which is one in this case), and the input is a ramp (which can be represented as A/s^2 with A being the amplitude, 1 for a unit ramp), we use the formula for steady state error for a Type 1 system which is ε(∞)=A/Kv where Kv is the velocity error constant.
Kv is calculated by taking the limit as s approaches zero of s multiplied by the open loop transfer function without the integrator part. Here, Kv = lim(s->0) s*G(s) = lim(s->0) s*(5/s(s+5)) = lim(s->0) 5/(s+5) = 5/5 = 1. Thus, the steady state error for a unit ramp input is ε(∞)=1/1=1. Consequently, the steady state error to a unit ramp input is 1.