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Mechanical Engineering QUESTION #2376
Question 1
For a proportional (P) control element with gain \(K\), the transfer function is:
  • \(Y(s) = K/s\)
  • \(Y(s) = Ks\)
  • \(Y(s) = K\)✔️
  • \(Y(s) = K s^2\)
Correct Answer Explanation
A proportional element: \(x_o(t)=K x_i(t)\), so in Laplace domain \(X_o(s)=K X_i(s)\), giving transfer function \(Y(s)=K\) (a constant gain).