The displacement of a solid body is to be monitored by a transducer (second-order system) with...
The displacement of a solid body is to be monitored by a transducer (second-order system) with signal output displayed on a recorder (second-order system). The displacement is expected to vary sinusoidally between 2 and 5mm at a rate of 85Hz. Select appropriate design specifications for the measurement system for no more than 5% dynamic error (i.e., specify an acceptable range for natural frequency and damping ratio for each device).
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The displacement of a solid body is to be monitored by a
transducer (second-order system) with...
7. The displacement of a solid body is to be monitored by a transducer (second-order system)...
7. The displacement of a solid body is to be monitored by a transducer (second-order system) with signal output displayed on a recorder (second-order system). The displacement is expected to vary sinusoidally between 2 and 5mm at a rate of 85Hz. Select appropriate design specifications for the measurement system for no more than 5% dynamic error (i.e., specify an acceptable range for natural frequency and damping ratio for each device).
Problem 5: A measurement system can be modeled by using the following second-order ODE: j(t)2)4y(t)= 8U (t) - (a) Deter...
Problem 5: A measurement system can be modeled by using the following second-order ODE: j(t)2)4y(t)= 8U (t) - (a) Determine the natural frequency, damping ratio, and sensitivity of the system. (b) If the system is used to measure a harmonic signal U(t) 5sin(5t), calculate the magnitude ratio and phase shift (c) What is the range of the signal frequencies that this device can measure so that the resulting dynamic error is within ± 20 %?
Problem 5: A measurement system...
4force 000 lbf 001 0.002 ,sec 1000lbf 5. A load cell (second-order model) has the specifications ...
4force 000 lbf 001 0.002 ,sec 1000lbf 5. A load cell (second-order model) has the specifications as follows Undamped natural frequency 1000Hz Damping Ratiob-0.707 Sensitivity-10mv/lbf Stiffness 100000 lbfin If a dynamic force as shown below is applied to the load cell, determine (a) the steady- state output voltage as a function of time, and (b) the useful dynamic frequency range ( 5%).
4force 000 lbf 001 0.002 ,sec 1000lbf 5. A load cell (second-order model) has the specifications as follows...
QUESTION 4 (20 marks) For any given experiment data of a sensor, explain how to determine...
QUESTION 4 (20 marks) For any given experiment data of a sensor, explain how to determine a. to ench 63.2 2 ofHe Panes the settling time of a second-order system Tire to at 22 Tire the time constant of a first-order system (i) () b. A thermocouple with a time constant of 0.05s is considered to behave as a first-order system. For the thermocouple to measure the dynamic temperature with an error less than 5%, what is (8) the range...
Do only parts C and D 1. A second-order system has the following transfer function that...
Do only parts C and D
1. A second-order system has the following transfer function that describes its response: F(s)- s2 +as + 9 A. For a -3, calculate the following performance specifications of the system: Natural frequency (on) Damping ratio( Estimated rise time and settling time with ±5% change (tr, ts) Estimated overshoot (MP) . B. Label (a) ±5% range of steady state, (b) tr, (c) ts, and (d) MP on the step response curve below (You may also...
P1: A temperature measuring system is exited by a 0.25 Hz harmonically varying input. If the...
P1: A temperature measuring system is exited by a 0.25 Hz harmonically varying input. If the time constant of the system is 4.0s and the indicated amplitude is 10 degrees celcius, what is the true temperature? P2: A thermocouple with a time constant of 0.05s is considered to behave as a first order system, over what frequency range can the thermocouple measure dynamic temperature fluctuation (which is harmonic) with an error less than 5%? P3: A force transducer behaves as...
The unit step response of a second order system is 2- The unit step response of a second order system is Ste Consider the following statements: i) The under damped natural frequency is ii) The da...
The unit step response of a second order system is
2- The unit step response of a second order system is Ste Consider the following statements: i) The under damped natural frequency is ii) The damping ratio is iii) The impulse response is
2- The unit step response of a second order system is Ste Consider the following statements: i) The under damped natural frequency is ii) The damping ratio is iii) The impulse response is
Problem 5: Suppose that you are to design a unity gain feedback controller for a first order plant. The plant...
Problem 5: Suppose that you are to design a unity gain feedback controller for a first order plant. The plant and controller respectively take the form ,s+ p where K> 0, p. z are parameters to be specified. (a) Using root-locus methods, specify some p and z for which it is possible to make the closed-loop system strictly stable. Include a sketch of the closed-loop root locus, as well as the corresponding range of gains K for which the system...
Problem The response of an underdamped second order system to a step input can be expressed as ...
Problem The response of an underdamped second order system to a step input can be expressed as S lf the espenmentally observed damped period of oscillation of the system is 0577ms and, from a logarithmic decrement analysis, the damping ratio is found to be 0.8, what is the damped circular frequency of the system? the natural frequency of the system
Problem The response of an underdamped second order system to a step input can be expressed as
S lf the...
Problem 2: For the following general form of a second order measurement system (Eq. 1), classify...
Problem 2: For the following general form of a second order measurement system (Eq. 1), classify the system as underdamped, critically damped or over damped for each of the sets of coefficients given in parts (a) - (d). Also determine the natural frequency (n), the damping ratio (0 and if possible, the ringing frequency (od). (b) k 25, c 44, m- 3 (c) k 125, c 235, m 1100 (d) k 18, c 24, m 8
Problem 5: A measurement system can be modeled by using the following second-order ODE: j(t)2)4y(t)= 8U (t) - (a) Determine the natural frequency, damping ratio, and sensitivity of the system. (b) If the system is used to measure a harmonic signal U(t) 5sin(5t), calculate the magnitude ratio and phase shift (c) What is the range of the signal frequencies that this device can measure so that the resulting dynamic error is within ± 20 %?
Problem 5: A measurement system...
4force 000 lbf 001 0.002 ,sec 1000lbf 5. A load cell (second-order model) has the specifications as follows Undamped natural frequency 1000Hz Damping Ratiob-0.707 Sensitivity-10mv/lbf Stiffness 100000 lbfin If a dynamic force as shown below is applied to the load cell, determine (a) the steady- state output voltage as a function of time, and (b) the useful dynamic frequency range ( 5%).
4force 000 lbf 001 0.002 ,sec 1000lbf 5. A load cell (second-order model) has the specifications as follows...
QUESTION 4 (20 marks) For any given experiment data of a sensor, explain how to determine a. to ench 63.2 2 ofHe Panes the settling time of a second-order system Tire to at 22 Tire the time constant of a first-order system (i) () b. A thermocouple with a time constant of 0.05s is considered to behave as a first-order system. For the thermocouple to measure the dynamic temperature with an error less than 5%, what is (8) the range...
Do only parts C and D
1. A second-order system has the following transfer function that describes its response: F(s)- s2 +as + 9 A. For a -3, calculate the following performance specifications of the system: Natural frequency (on) Damping ratio( Estimated rise time and settling time with ±5% change (tr, ts) Estimated overshoot (MP) . B. Label (a) ±5% range of steady state, (b) tr, (c) ts, and (d) MP on the step response curve below (You may also...
The unit step response of a second order system is
2- The unit step response of a second order system is Ste Consider the following statements: i) The under damped natural frequency is ii) The damping ratio is iii) The impulse response is
2- The unit step response of a second order system is Ste Consider the following statements: i) The under damped natural frequency is ii) The damping ratio is iii) The impulse response is
Problem 5: Suppose that you are to design a unity gain feedback controller for a first order plant. The plant and controller respectively take the form ,s+ p where K> 0, p. z are parameters to be specified. (a) Using root-locus methods, specify some p and z for which it is possible to make the closed-loop system strictly stable. Include a sketch of the closed-loop root locus, as well as the corresponding range of gains K for which the system...
Problem The response of an underdamped second order system to a step input can be expressed as S lf the espenmentally observed damped period of oscillation of the system is 0577ms and, from a logarithmic decrement analysis, the damping ratio is found to be 0.8, what is the damped circular frequency of the system? the natural frequency of the system
Problem The response of an underdamped second order system to a step input can be expressed as
S lf the...
Problem 2: For the following general form of a second order measurement system (Eq. 1), classify the system as underdamped, critically damped or over damped for each of the sets of coefficients given in parts (a) - (d). Also determine the natural frequency (n), the damping ratio (0 and if possible, the ringing frequency (od). (b) k 25, c 44, m- 3 (c) k 125, c 235, m 1100 (d) k 18, c 24, m 8
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