Lab #2 Report

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A temperature sensor Pt100 has a rage from -200C to 850C as shown in the figure. Considering the function is linear, find the sensitivity of the sensor? How can we ?improve the sensitivity of this sensor Resistance vs. Temperature- Pt100 (385) 400 350 300 250 200 150 100 50 -200 100 100 200 300 400 50 600 700 800 900 Temperature ["c) Resistance [Ohms]

2. Figure 1 shows a sensor consists of a core, an armature and a variable air gap. The core with 3.0 cm depth and 10000 relative permeability has 200 coil turns. On the other hand, the armature is a steel plate of thickness 0.2 cm and has similar relative permeability with the core. Assuming the relative permeability of air is unity and the permeability of free space is equal to 4x x 10-7 H.m, calculate the inductance of the sensor for air gaps of 0 mm and 2 mm. Please write the answers in 3 decimal places. 2.0 cm 1.0 cm 6.0 cm 3.0 cm 1.5 cm Figure I

1. Piezoelectric materials are often used as sensor materials because they transform mechanical deformation to electrical charge. Figure 1 shows an electric circuit of a piezoelectric sensor. The piezoelectric material is modeled as a current source in parallel with a capacitor. The resistance models the impedance of an amplifier. The goal is to make the output voltage v(t) proportional to the input charge q(t), so that we can use the voltage v(t) to measure the charge q(t). The ODE governing the input and output is dv RC +v=R- dt Ddq dt (1) where q(t) is the input and v(t) is the output. (a) Determine the frequency response function G(w). You can leave it as a fraction of two complex numbers. (b) Find the magnitude of the frequency response function G(w). (c) Show the asymptotic behavior of G(w) when w <1/RC and when w≫ 1/RC. (d) Plot the magnitude of G(w). (Not necessarily the Bode plot.) (e) For what frequency range can you use this sensor? x(t) R k с ġ(t) v(t) →f(t) Figure 1: A…

2. [5 points] (a) Vs (b) R Rx IG contact Ammeter A A potentiometer is to be used to measure the voltage Vm as shown above. L is the length of the potentiometer and x is the length of resistance to the contact point when the measurement is ready to be taken. VmRm What conditions are required for a measurement to be taken? Does this place the system in null or deflection mode for the measurement? How is Vm calculated from the measured length x? Provide a mathematical expression. No written explanation required.

MECT361 Mechatronics Components and Instrumentation PLEASE GIVE ME THE short answer and wite it by keyword thanks

b) Figure 1 shows the calibration data of a sensor. Determine the static sensitivity at the input of X= 0, X= 5 and X= 10. For which input values is the system more sensitive? Calibration Data 300 250 y = 0.875x1.055 200 150 100 50 20 40 60 80 100 120 Input value, cm Figure 1 c) Suppose you found a dial thermometer in a stockroom. Discuss several methods by which you might estimate random and systematic error in the thermometer? How would you estimate its uncertainty? Output value, V

Question 4

Please answer question with as much detail as possible Please Use the “NCEES FE Reference Handbook 10.0.1” which can be downloaded for Free from https://ncees.org/ as your Reference for tables and formulas

The A/D converter wit the specifications listed below is planned to be used in an environment in which the A/D converter temperature may change by ± 10 °C. Estimate the contributions of conversion and quantization errors to the uncertainty in the digital representation of an analog voltage by the converter. FSO N Linearity error Temperature drift error Analog to Digital (A/D) Converter 0-10 V 12 bits ± 3 bits 1 bit/5 °C

Learning Goal: Integrating the equation of motion, as applied to all particles in a system, yields t₂ Σmi(vi), + Σf Fidt = Σmi(vi)2 where m, is the ith particle's mass, v; is the ith particle's velocity, and F; is the external force that acts on the ith particle. This relationship states that the sum of the initial linear momenta, at time t₁, and the impulses of all the external forces acting between times t₁ and t2 is equal to the sum of the linear momenta of the system, at time t₂. If the system has a mass center, G, the expression becomes Figure 93°F Sunny B x 0 1 of 1 Part C Provide

Subject: Mechanical Measurements Do not copy online solutions. It's different value

The output of a potentiometer is to be read by a recorder of 10,000 ohms input resistance. Nonlinearity must be held to 1 percent. A family of potentiometers having a thermal rating of 5 watts and resistances ranging from 100 to 10,000 ohms in 100- ohm steps is available. Choose from this family the potentiometer that has the greatest possible sensitivity and also meets the other requirements. What is this sensitivity if the potentiometers are single-turn (360°) units?

1. Given the circuit in Figure 2, determine the resistance R₂ such that V₁ = VB. Then find the voltages Vд and VB. Show steps of your calculations. 20 V R₁ 500 Ω. 0 R3 200 Ω R4 R₂ 50 Ω Figure 2: Circuit for Exercise 1 2. Use Multisim Schematics to create the circuit in Figure 3. Assign the resistor R₂ value based on your calculations in previous step. Run the simulation to obtain the DC voltage at terminals VA and VB. Compare the values with the calculated voltages in previous step. Are they identical? Take a screenshot of your Multisim circuit schematic, showing the voltage values, and include it to your lab report. Vs -20V XMM1 +. R1 500 Σ R3 2000 XMM2 R2 R4 ≥500 Figure 3: Multisim Simulation Circuit with instruments for Exercise 1 3. Add a 100 resistor between terminals VA and VB and connect an ammeter to measure the current through the resistor. Is the current value consistent with the expected theoretical value? Justify your answer. Take a screenshot of your Multisim circuit…

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