. Problem 9-4: The pressure fluctuations in a pipe filled with air at 20°C at about 1 atm is to be measured using a static wall tap, rigid connecting tubing, and a diaphragm pressure transducer. The transducer has a natural frequency of 100000 Hz For a tap and tubing diameter of 3.5 mm, a tube length of 0.25 m, and a transducer dead volume of 1600 mm³, estimate the resonance frequency of the system. What is the maximum frequency that this system can measure with no more than a 10% dynamic error? Plot the frequency response of the system.
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- An application demands that sinusoidal pressure variation of 250 Hz be measured with no more than 2% dynamic error. In selecting a suitable pressure transducer from vendor catalog, you note that a desirable line of transducer has a fixed natural frequency of 500 Hz but that you have a choice of transducer damping ratio of between 0.5 and 1.5 in increments of 0.05. select a suitable transducer. The value of damping ratio is between the following values Select one: a. 0.707 and 0.807 b. 0.5215 and 0.5625 c. 0.631 and 0.692 d. 0.2356 and 0.5625An application demands that sinusoidal pressure variation of 250 Hz be measured with no more than 2% dynamic error. In selecting a suitable pressure transducer from vendor catalog, you note that a desirable line of transducer has a fixed natural frequency of 500 Hz but that you have a choice of transducer damping ratio of between 0.5 and 1.5 in increments of 0.05. select a suitable transducer. The value of damping that can be chosen from the catalog Select one: a. 0.65 b. 0.35 O c. 0.55 d. 0.757:24 O t ME 4141L -Controls... Z Encountered error/s: of and for the exclusive use of SLU. Reproduction, storing in a retrieval system, distributing, uploading or posting online, or transmitting in any form ectronic, mechanical, photocopying, recording, or otherwise of any part of this document, without the prior written permission of SLU, is strictly pro Problem #3: Use of 5/2 way valves with spring return Problem: Boxes (or certain production parts) are moved by a double-acting cylinder away from a gravity-feed magazine towards an assembly device. A push button and a pedal switch are to be incorporated in the circuit. The cylinder is to move out when either of these is actuated The return stroke is actuated by the cylinder rod after it reaches the end of the forward stroke. Positional sketch: 19/ 33 ::: II
- A plastic tube of inner diameter 5 mm and length 0.5 m is connected between the Pitot tube and the pressure transducer. The volume of the transducer is 4x10-4 m³. What is the transfer function of the measurement? Clearly state any assumptions made.Explain the significance of the following information given in the specification of the followingtransducer,Thermocouple Sensitivity: nickel chromium/nickel aluminum thermocouple: 0.039 mV/ºC when thecold junction is at 0 ºC.If q is the notch sensitivity and the fatigue stress concentration factor is Kf, then the theoretical stress concentration factor kt is calculated using the equation:
- ! Required information Sometimes manometer dimensions have a significant effect. In the given image, the containers (a) and (b) are cylindrical and conditions are such that Pa = Pb, for d= 0.2D. L D (a) Water Numeric Response -d D (b) SAE 30 oil H Take y=9790 N/m³ for water and 8720 N/m³ for SAE 30 oil. Comparing the above two cases, what is the percentage change in the value of Ap?Given the vibratory system shown in the figure Ki G=0-3 m 12= 0.7m m, Jo Support m2 WM 1) Denve u 2) If m, = 20 kg, m, = 10 kg, J, = 15 kg m, k, =1500 N/m, k, = 2500 N/m, k, = 3000 N m, Calculate the natural frequency in (Hz). 3) If the system's free vibration Amplitude is reduced by 90% in 12 cycles, calculate the value of c, . にEa string is attached to a mechanical vibrator, which has a frequency of 30Hx. the sttring is 3.0m long and has a linear density of .4 g/cm. the tension is varied by adding weights to teh string passing over the pully. What tension is needed to cause the string to resonate with the vibrator in four segments. assume that he points where the string meets the vibrator and the pulley are approx nodes.
- Exercise 3: Damped forced vibration. Find the solution ofu′′ +(1/8)u′ + u = 3 cos(ωt), u(0) = 2, u′(0) = 0 using sympy.dsolve for ω = 0.3 and ω = 1. Plot the solution, transient solution and steady-statesolution in a common plot for 0 < t < 10 for ω = 0.3 and ω = 1 respectively. Exercise 4: Undamped forced vibration. Plot the solution ofu′′ + u = 3 cos(ωt), u(0) = 0, u′(0) = 0 for 0 < t < 10 for ω = 0.3 and ω = 1 respectively. (You may find the solution either numerically with scipy.integrate.solve ivp, scipy.integrate.odeint or by finding and plotting the symbolic solution via sympy.dsolve)Remark: The vibration consists of beats; in the critical case ω = 1 solutions do not stay boundedFor a system with mass 10 kg, spring constant 100 N/m, damping ratio 1 kg/s, rotating unbalance of 0.1 kg, radius 100 cm, and driving frequency 50 Hz, what is the amplitude of the particular solution? What is the phase lag of the particular solution?A special instrument that will accommodate type E thermocouples operating over the range of -150 to 100°C is going to be designed. At some stage of design, the sensitivity at 0°C is needed. What is the sensitivity of the thermocouple at 0°C?