## Problem 6: Tachometer System Analysis**System Description:**Consider the tachometer system shown in the block diagram. This system includes:- An input \( R(s) \).- A block with transfer function \( \frac{1}{s} \).- A summing junction where the input is added to a feedback loop.- A forward path with transfer function \( \frac{16}{s+0.8} \).- A feedback loop including a gain \( k \).- An output \( Y(s) \).**Tasks:**a) **Closed-Loop Transfer Function:** - Determine the closed-loop transfer function \( \frac{Y(s)}{R(s)} \). - Find the value of \( k \) such that the damping ratio of the poles is 0.5.b) **System Characteristics for the Obtained \( k \):** - Calculate the rise time \( t_r \). - Determine the maximum overshoot. - Find the settling time \( t_s \), assuming \( R(s) \) is a unit step input.**Diagram Explanation:**- The system has two main branches. The forward path has an integrator block \( \frac{1}{s} \), and the feedback loop introduces a gain \( k \).- The forward path also has a transfer function of \( \frac{16}{s+0.8} \) after the summing junction.- Feedback is applied to the input through the gain block, influencing system stability and response characteristics.

Answered: Image /qna-images/answer/5f22df7a-dc45-4417-a546-5131f8fe9f15.jpg

6. Consider the tachometer system shown below. R(s) 1 S Iin (s) 16 (s+0.8) k Y(s) a) Find the closed loop transfer function Y(s)/R(s) and determine the value of k such that the damping ratio of the poles of this transfer function is 0.5. b) For this value of k, find the rise time tr, maximum overshoot, and settling time ts, if R(s) is a unit step.

6. Consider the tachometer system shown below. R(s) 1 S Iin (s) 16 (s+0.8) k Y(s) a) Find the closed loop transfer function Y(s)/R(s) and determine the value of k such that the damping ratio of the poles of this transfer function is 0.5. b) For this value of k, find the rise time tr, maximum overshoot, and settling time ts, if R(s) is a unit step.

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

See similar textbooks

Similar questions

Problem 2. Draw Nyquist plot of the following open-loop transfer function and determine the stability of the system 1 G(s) s(s + 1)
Third year Control Lab Exp 6 assignment Q\ For the folowing block diagram: 1- Simulate the system in simulink for step and sinusoidal signals? 2- Find the overall transfer function for the system and find step response and prove that the system is stable? 2 0.8s +1 7+ 4s +1 s+1 0.4s +1 1.2 +1
In designing a signal-switching circuit (RC circuit), it was found that a 100-µF capacitor was needed for a time constant of 3 ms. What value resistor is necessary for the circuit? The resonant circuit for a radio broadcast consists of a 120-pF capacitor in series with a 240-uH inductor and a resistance of 400 2, what is the resonant frequency of the circuit? What would be the resonant frequency if the resistance were reduced to 40
I need the answer as soon as possible
The circuit below is switched at t = 0 after reaching the steady-state. From the given circuit below, find the following. 1. Neper frequency (in rad/s) 2. Resonant Radian Frequency (in rad/s) 3. Root of characteristic equations that is closer to the origin 4. What is the value of A1 from the form of natural response 40V -146t v(t) = A₁-854t such that the experiment is repeated with v(0) = 25V and dv(0)/dt = 0 V/s. + A₂e² +1 30Ω M t=0X 0.8H 500 40µF 50Ω + V
This is a review question, therefore it is not graded. The desired answer for the transfer function is in the photo below. Solve for the following using the given circuit. The subject is second order lti system: Passive Low Pass Filter RC Circuit. 1.) Solve for the transfer function (without the values just like in the photo below) using circuit/nodal analysis, after getting the transfer function. Solve for the poles and identify what kind of response. (Damping response, overdamped response, underdamped response, etc.) After identifying the response, apply step input and inverse laplace. 2.) Solve for the transfer function with values by simply substituting the values of the components. 3.) Solve for the Voltage Out of the Circuit.
Please answer in 20 minutes
I need the answer as soon as possible
Can anyone help me with this circuits question. I don’t need the design of the BW LPF just the hand calculations. Thank you
Can you please help me with this problem from my Biomedical Signals and sensors class?
Pls help ill rate
Consider the following block diagram. a. Find the poles and zeros of the open-loop transfer function (that is, K=K,=0) b. Find the closed-loop transfer function. + 1 1 s-1 (s +3)(s – 1) R2 K,