Problem $2(20\%)$

A sensor has a range of $25-125\frac{m}{s}.$ What is the gain of this sensor$?$ What is the output signal of the sensor when the velocity is $95\frac{m}{s}?$

Problem $3(10\%)$

What does the time constant of the sensor means?

Problem $4(20\%)$

An actuator has the following transfer function,

$G_A(s)=\frac{11}{5s+1}\frac{\frac{m^3}{s}}{mA}$

What is the gain of the actuator?

What is the time constant of the actuator?

What is the type of control process?

Problem $5(40\%)$

A speed cruise control system has the following transfer functions.

$G_s(s)=\frac{1}{3s+1}\frac{\frac{m}{s}}{mA}$

$G_P(s)=\frac{70}{0\mathrm{.}1s+1}\frac{\frac{m}{s}}{\frac{L}{s}}$

$G_A(s)=\frac{0\mathrm{.}1}{s+1}\frac{\frac{L}{s}}{mA}$

If Proportional only controller is used, calculate the ultimate gain of th