6899B34D-8694-4CB2-AA75-D9D9BC20007F

i. Derive the linear and quatratic approximation of the below resistance temperature readings(temperature from 40 °c to 80 °c). (. ii. find out the resistance of RTD at a temperature of 200°c using linear approximation? ( Temperature 40 45 50 55 60[TO] 65 70 75 80 Resistance ohm 115.239 120.521 167.096 254.966 384.13 554.587 766.34 1019.38 1313.724

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

1. A process manufacturing missile component parts is being controlled, with the performance characteristic being the tensile strength in pounds per square inch. Samples of size 4 each are taken every hour and 30 samples are reported as below: 30 30 30 45219.84, Σ-1Τι = 321.6, Σ i= 1$i = 110.5 (a) Find trial control limits for X and R charts. (b) Repeat part (a) for X and S charts.

2- A pressure transducer is calibrated in an environment at a temperature of 20 °C and the following output readings (mV) are obtained for various input values P(kPa): P (kPa) ? 10 ? 20 ? 30 mV 12.1 24.2 | 36.3 | 48.4 | 60.5 72.6 a)Determine the sensitivity. b)lf the instrument is used in an environment at a temperature of 40 °C, it is noticed that the sensitivity became equals to the same value at 20 °C, but approximated to the nearest integer value, calculate the sensitivity drift per temperature change.

QUESTION 1 Solve the following differential equation in Matlab using ode45.m. Use time interval of 0.1 second. (Don't use options in ode45 to change teh tolerance.) d²x (1) +x(t) dx(1) dt +x(t)=0 dx x(0) = 0, =1. dt =0 What is x(t=0.8)? 0.653 ○ 0.726 ○ 0.498 0.547 ○ 0.651 ○ 0.895

If the observed voltage given by a thermocouple of type K equals to 72.5 mV then for an amplification factor of 40 the actual voltage is: Select one: a. 0.0018125 mV. b. 0.0018125 V. c. 2.9 mV. d. 0.029 V.

1. A Sinusoidal current has an rms value Of 5mA. Determine the following values. 1)Peak 2)Average 3) Peak to Peak 2. For a 00 reference sine wave with an rms value of 6.37V, determine its instantaneous value at the following points. 1) TT/8 rad 2) 3T/4 rad 3) 3TT/2 rad Prisciples of Elerteớc C

A temperature measurement system has the following specifications: -128 to 781°C Range Linearity error 0.29% FSO Hysteresis error 0.12% FSO Sensitivity error 0.04% FSO Zero drift 0.32% FSO FSO stands for "Full Scale Output". Estimate the overall instrument uncertainty for this system based on the available information. Use the maximum possible output range over the FSO in your computations.

2. Consider the voltmeter calibration data in Table 1. Plot the data using a suitable scale. a) Specify the percent maximum hysteresis based on full-scale range. b) Referring to increasing input calibration, determined the sensitivity and linearity errors. Increasing input (mV) Decreasing input (mV) X Y Y 0.0 1.0 0.1 5.0 5.0 1.1 4.0 4.2 2.0 2.1 3.0 3.2 3.0 3.0 2.0 2.2 4.0 4.1 1.0 1.2 5.0 5.0 Table 1: Calibration results 0.0 0.2

A) As the head of the Accelerometer Design Division (ADD), based on the following figures, advise your team on the production an accelerometer to reduce or eliminate distortions in the readouts. Magnitude ratio M(Go) 2.0 1.5 1.0 0.8 0.6 0.4 0.2 0.1 0.05 I 0.1 = 10.0 I 0.20 5.0 0.5 w/wn 2.0 H 1.0 {=0 0.3 0.4 0.5 0.707 1.0 2.0 3.0 +6 +3 0 -3 do d Decibels (dB) -10 -15 Resonance band Transmission band Filter band Phase shift [°] +(6) 0 -20 -40H -60 -80 -100- -120- -140 -160 -180 0.05 0.10 10.0 0.20 0.50 (=0 1.0 10.0 5.0 2.0 1.0 0.7 0.5 0.4 = 0.3 I 2.0

antuitive methodology (seize and fox) noting they will be different. olowing cases, find the degrees-of-freedom using KMOGE (Identify L. h. Jz and M) and using the em 3: KMOGE has conditions under which it simply produces the wrong answer. In each of the A. L= Mseize and Fix B L = MKMOGE = Mseize and Fix J = MEMOGE Msetze and Fix

PartII Say you've deployed a robot that can can measure electric field due to specified charge at the specified location with good accuracy. And you got these results from the robot: Electric field due to q2 at point p1 is (-1667.0) i + (18340.0) j Electric field due to q3 at point p1 is (-2496.0) i + (–1628.0) j Electric field due to q1 at point p2 is (-6311.0) î + (2470.0) } Electric field due to q2 at point p2 is (-11585.0) î + (–6951.0) ĵ Electric field due to q3 at point p2 is (4657.0) î + (11310.0) } c) Find the net Electric field at pj .

A thermocouple has an output emf as shown in the following table when its hot (measuring) junction is at the temperatures shown. Determine the sensitivity of measurement for the thermocouple in mv/"C. Temperature (C) 3.5 13 4 12 Voltage imv) Sensitivity, S

QUESTION 2 Solve the following differential equation in Matlab using ode45.m. Use time interval of 0.1 second. (Don't use options in ode45 to change teh tolerance.) d²x(t) dt² x(0)-1, +x²=0 dx dt #L- =1. =0 What is dx/dt (t=2.5)? -0.217 -1.32 0.432 0.556 -0.485 ○ 0.120

9. A commercial linear analog sensor is used to measure measurable quantity x. To calibrate linear voltage measuring function Vout= Kx + Vo of the actual sensor, sample measurements (x, Vout) must be conducted where the values of x and Vout can be directly obtained from the actual sensor. (a) Ture (b) False

12:30 Done Edit A 24.6 2 resistor found experimentally. in Ohm's law experiments, if its actual value is equal to 24 Q, then the percentage error in R is Select one: a. 0.025% b. 2.5 % c. 3.3% d. 0.033% Loay Aljboor 2020/11/13

2. Consider the voltmeter calibration data in Table 1. The sensitivity of the pressure sensor is 0.5 V/kPa (given by manufacturer) and the linear curve fit for the upscale calibration is given as y = 0.9829 x + 0.1095 . Plot the data using a suitable scale. a) Specify the percent maximum hysteresis based on full-scale range. b) Referring to increasing input calibration, determined the sensitivity and linearity errors. Increasing input (mV) Decreasing input (mV) Y Y 0.0 0.1 5.0 5.0 1.0 1.1 4.0 4.2 2.0 2.1 3.0 3.2 3.0 3.0 2.0 2.2 4.0 4.1 1.0 1.2 5.0 5.0 0.0 0.2 Table 1: Calibration results

3. Honeywell CRS FR NAV 1 57 NM 20 F 10 - 10 M • 10 - 10 015 S 330 200 DH 200 RA 33 0 03 DH Fig. Q3 (a) Refer to Figure Q3 above. State the type of display shown and explain when it would be used. (b) Identify 5 pieces of information you are able to derive from the electronic display shown above. 20 •

Consider the following system: mä(t) + cx(t) + kx(t) = F,8(t) + F28(t – t1) Asumme zero initial conditions. The units are in Newtons. If m = 9.3634 kg, c = 49.8992 Ns/m, k = 90.1813 N/m, F1 = 94.7209 N.s , F2= -85.0916 N.s and t1 = 0.8657 s, the displacement of the system at t2 = 5.4519 s is: %3D %3D 0.0021 mm -0.0218 mm 0.0002 mm -12.3038 mm -0.539 mm

Using the colored bands on the two resistors at your table, you determine that the two resistances of the resistors are 200 ohms with 5% tolerance and 100 ohms with a 20% tolerance. What would you expect the equivalent resistance of the two resistors to be (including the uncertainty) if they are connected in series? ) ohms ± Check

Consider the voltmeter calibration data in the following table. Plot the data using a suitable scale. Specify the percent maximum hysteresis based on full-scale range. Increasing Input [mV] Decreasing Input [mV] Y Y 0.0 0.1 5.0 5.0 1.0 1.1 4.0 4.2 2.0 2.1 3.0 3.2 3.0 3.0 2.0 2.2 4.0 4.1 1.0 1.2 5.0 5.0 0.0 0.2

A thermocouple was used to measure the temperature. Over the range of temperatures expected in the experiment, a linear regression analysis was performed for the temperature as a function of voltage. The best-fit equation was T = (-0.008563 + 220*V), where V is the thermocouple voltage. The voltage was fed into a 11-bit A/D converter with a voltage range of -8 V to 8 V. Determine the measurement resolution (in °C) due to the ADC? O 0.851 None O 3.113 1.710 0.393 4.960 1.144 O 3.797

2-Errors due to manufacturing defects in the instrument is called as Aging Error. Select one: O True O False

3. The results of a simple calibration of pressure transducer and its specification are shown in Figure 1 and Table 1. The sensitivity of the pressure sensor is 0.5 V/kPa (given by manufacturer) and the linear curve fit for the upscale calibration is given as y = 0.51x +0.02 . a) Calculate the hysteresis and linearity errors for this calibration. b) Please discuss either the pressure transducer can now be used for the actual measurement or not. Table 1: Pressure tansducer specification Оperation Input range 0- 5 kPa + 15 V 0 - 2.5 V Excitation Output range Performance Linearity error ± 3 % Hysteresis Less than + 15% Sensitivity error + 5% Thermal sensitivity error + 0.02% / °C Temperature range 0 - 50 °C 2.5 upacale mesurement downscale measurement 0.5 0.5 3.5 pressure, kPa Оприt, voltage ((V) Upscale Input, pressure (kPa) Downscale 0.00 0.00 1 0.53 0.48 2 1.05 0.94 3 1.62 1.45 4 2.12 1.95 5 2.50 2.50 Figure 1: Calibration results (plot and tabulated data)

5) A pressure gauge which has a linear calibration curve has a radius of scale line as 120 mm and pressure of 0 to 50 Pascal is displayed over an arc of 300°. Determine the sensitivity of the gauge as a ratio of scale length to pressure.