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2. A first-order temperature measurement system is excited by a 0.25Hz sinusoidal input (a). Know...
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...
2) A single degree of freedom system is excited by sinusoidal force. Determine the damping ratio...
2) A single degree of freedom system is excited by sinusoidal force. Determine the damping ratio of the system if the amplitude of displacement at resonance is 2 in, the exciting frequency is one- tenth of the natural frequency and the amplitude of displacement at resonance is 0.2 in a) 0.25 Hz b) 0.5 Hz c) 0.0025 Hz d) 005 Hz
2) A single degree of freedom system is excited by sinusoidal force. Determine the damping ratio of the system...
A second order mechanical system of a mass connected to a spring and a damper is subjected to a s...
A second order mechanical system of a mass connected to a spring and a damper is subjected to a sinusoidal input force mx+cx + kx = A sin(at) The mass is m-5 kg, the damping constant is c = 1 N-sec/m, the spring stiffness is 2 N/m, and the amplitude of the input force is A- 3 N. For this system give explicit numerical values for the damping factor 5 and the un-damped natural frequency Using the given formulas for...
A second order mechanical system of a mass connected to a spring and a damper is subjected to a s...
A second order mechanical system of a mass connected to a spring and a damper is subjected to a sinusoidal input force mi+ci +kx- Asin(ot) The mass is m-5 kg, the damping constant is c = 1 N-sec/m, the spring stiffness is 2 N/m, and the amplitude of the input force is A- 3 N. For this system give explicit numerical values for the damping factor un-damped natural frequency on a. and the
A second order mechanical system of a...
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...
3. The input and output corresponding to the steady (vibratory) response of a first order system...
3. The input and output corresponding to the steady (vibratory) response of a first order system have been recorded below. (a) Use the phase difference to find the time constant of the system. (b) Use the magnitude ratio between both curves to find the time constant of the system and compare your answer to that of part (a) if the equation is known to be ai + bx = Csin(wt) where the input is Csin(wt), the output is x, and...
Below is the frequency response of a dynamic system +)20 20 → 1st order 40">2"d Order a. What are...
Below is the frequency response of a dynamic system +)20 20 → 1st order 40">2"d Order a. What are the corner frequencies? 、.a.,.1D.歩100 b. How many poles in the system? e. How many zeros in the system'? d. For the input signal shown in the Figure below find (at steady-state situation): i. The output signal amplitude ii. The output signal phase (in degrees and show the sign)... Plot the output signal on the Figure below e. 57 58 9 61...
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...
Calculate the first-order correction to the ground and first excited states of a one dimensional harmonic...
Calculate the first-order correction to the ground and first excited states of a one dimensional harmonic oscillator due to the relativistic correction to its kinetic energy. The mass of the oscillator is m, and its natural frequency is ω. What would be an analog of “fine structure constant” in this system?
For the mechanical system shown below find the input-output equation relating xolt) to the displacement input...
For the mechanical system shown below find the input-output equation relating xolt) to the displacement input x(t) 1. ド ド Ki Derive the transfer function X,G)/X, (s)of the mechanical system shown below. The displacements x, and xo are measured from their respective equilibrium potions. Is the system a first-order system if so, what is the time constant? 2. k1 bz k2 3. Consider the mechanical system shown below. The system is initially at rest. The displacements x, and x2 are...
2) A single degree of freedom system is excited by sinusoidal force. Determine the damping ratio of the system if the amplitude of displacement at resonance is 2 in, the exciting frequency is one- tenth of the natural frequency and the amplitude of displacement at resonance is 0.2 in a) 0.25 Hz b) 0.5 Hz c) 0.0025 Hz d) 005 Hz
2) A single degree of freedom system is excited by sinusoidal force. Determine the damping ratio of the system...
A second order mechanical system of a mass connected to a spring and a damper is subjected to a sinusoidal input force mx+cx + kx = A sin(at) The mass is m-5 kg, the damping constant is c = 1 N-sec/m, the spring stiffness is 2 N/m, and the amplitude of the input force is A- 3 N. For this system give explicit numerical values for the damping factor 5 and the un-damped natural frequency Using the given formulas for...
A second order mechanical system of a mass connected to a spring and a damper is subjected to a sinusoidal input force mi+ci +kx- Asin(ot) The mass is m-5 kg, the damping constant is c = 1 N-sec/m, the spring stiffness is 2 N/m, and the amplitude of the input force is A- 3 N. For this system give explicit numerical values for the damping factor un-damped natural frequency on a. and the
A second order mechanical system of a...
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...
3. The input and output corresponding to the steady (vibratory) response of a first order system have been recorded below. (a) Use the phase difference to find the time constant of the system. (b) Use the magnitude ratio between both curves to find the time constant of the system and compare your answer to that of part (a) if the equation is known to be ai + bx = Csin(wt) where the input is Csin(wt), the output is x, and...
Below is the frequency response of a dynamic system +)20 20 → 1st order 40">2"d Order a. What are the corner frequencies? 、.a.,.1D.歩100 b. How many poles in the system? e. How many zeros in the system'? d. For the input signal shown in the Figure below find (at steady-state situation): i. The output signal amplitude ii. The output signal phase (in degrees and show the sign)... Plot the output signal on the Figure below e. 57 58 9 61...
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...
For the mechanical system shown below find the input-output equation relating xolt) to the displacement input x(t) 1. ド ド Ki Derive the transfer function X,G)/X, (s)of the mechanical system shown below. The displacements x, and xo are measured from their respective equilibrium potions. Is the system a first-order system if so, what is the time constant? 2. k1 bz k2 3. Consider the mechanical system shown below. The system is initially at rest. The displacements x, and x2 are...
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