Parameters of the following transfer function are given as: k=3.1, a=9.8, and b=4.2, calculate the gain constant K of the control system. (please keep four digits after decimal point)𝑇𝐹=𝑘𝑎𝑠+𝑏
Question
Parameters of the following transfer function are given as: k=3.1, a=9.8, and b=4.2, calculate the gain constant K of the control system. (please keep four digits after decimal point)𝑇𝐹=𝑘𝑎𝑠+𝑏
Solution
The transfer function is given as TF = kas + b.
The gain constant K of the control system is the coefficient of the 's' term in the transfer function.
Given that k = 3.1 and a = 9.8, we can calculate K as follows:
K = k * a
Substituting the given values:
K = 3.1 * 9.8 = 30.38
So, the gain constant K of the control system is 30.3800.
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