LSC-Lab1-Report-MMV

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

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.

A temperature measurement system is composed of a sensor and a readout device. The readout device has a claimed accuracy of 0.6 °C with a resolution of 0.1 °C. The sensor has an off-the-shelf limit of error of 0.5 °C. Estimate a design-stage uncertainty in the temperature indicated by this combination. A displacement transducer has the following specifications: Linearity error:±0.25% reading Drift:±0.05%/°C reading Sensitivity error: ±0.25% reading Excitation:  10-25 V Output:  dc 0-5Vdc   Range: 0-5 cm The transducer output is to be indicated on a voltme- ter having a stated accuracy of 0:1% reading with a resolution of 10 μV. The system is to be used at room temperature, which can vary by 10 °C. Estimate an uncertainty in a nominal displacement of 2 cm at the design stage. Assume 95% confidence.

As an engineer working for a water bottling company, you collect the following data in order to test the performance of the bottling systems. Assume normal distribution. Milliliters of Water in the Bottle Frequency 485 490 milliliters 495 500 505 510 515 What is the mean (in milliliters)? milliliters What is the standard deviation (in milliliters)? What is the z value corresponding to 490 milliliters? Z = 6 12 20 33 18 11 00 8

Areas Under the Standard Normal Curve-The Values Were Generated Using the Standard Normal Distribution Function of Excel Note that the standard normal curve is symmetrical about the mean. z 0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.1 0.11 0.12 1 0.95 0.96 0.97 0.98 0.99 1.01 1.02 1.03 1.04 1.05 Mean - 0 1.06 1.07 1.08 1.09 A 0.0000 0.0040 0.0080 0.0120 0.0160 0.0199 0.0239 0.0279 0.0319 0.0359 0.0398 0.0438 0.0478 A 0.3186 0.3212 0.3238 0.3264 0.3289 0.3315 0.3340 0.3365 0.3389 Z 0.3413 0.3438 0.3461 0.3485 0.3508 0.3531 0.3554 0.3577 0.3599 0.3621 0.13 0.14 0.15 0.16 0.17 0.18 0.19 0.2 0.21 0.22 0.23 0.24 0.25 1.12 1.13 1.14 1.15 1.16 1.17 A z 0.0517 0.0557 0.26 0.27 0.28 0.29 0.0596 0.0636 0.0675 0.3 0.0714 0.31 0.0753 0.32 0.0793 0.33 0.0832 0.34 0.0871 0.35 0.0910 0.0948 0.0987 1.18 1.19 1.2 1.21 1.22 1.23 1.24 1.25 1.26 1.27 1.28 A 0.3643 0.3665 0.3686 0.3708 0.3729 0.3749 0.3770 0.3790 0.3810 0.36 0.3830 0.3849 0.3869 0.3888 0.3907 0.3925 0.3944 0.3962 0.3980 0.3997 0.37…

4:07 3G l. Moodle A bbb2.du.edu.om EE ...Session (15-3- Said Grami O College of Engineering Vision for the Future Question 3 During a step function calibration, a first-order instrument is exposed to a step change of 200 units. 1- If after 1.5 s the instrument indicates 140 units, find the instrument time constant. 2- find the error in the indicated value after 2 s S. 3- Find the raise time at 90 % of the system. y(0)=0 units; K=1 unit/unit. Question 4 A first order instrument with a time constant of 2 seconds is to be used to measure a periodic input. If a dynamic error of ±2% can be tolerated, 1- determine the maximum frequency of periodic input that can be measured. 2- What is the associated time lag (in seconds) at that frequency? MECH374: Instrumentation and Measurement Said Grami Practice

Instrumentation & Measurements This homework measures your capability to design/analyze various components/variables of ameasurement system based on what you have studied. Question is Attached in image. Thank you.

Chapter 12 - Lecture Notes.pptx: (MAE 272-01) (SP25) DY... Scores

We wish to measure a characteristic of a machined part whose nominal size is 50 mm at 20 °C. For this, two different instruments are used; an analog micrometer and a digital vernier caliper, both recently calibrated and with the same resolution (0.01 mm). The calibration certificate data of the analog micrometer and the digital vernier are shown in tables 5 and 6 respectively. In both cases the calibration uncertainty does not include the contribution of resolution uncertainty. Additionally, there are drift studies for both instruments and it is established that the drift of the micrometer is ± 0.002 mm while the drift of the vernier is ± 0.02 mm.   The same number of measurements were performed with both instruments to avoid repeatability biases under controlled environmental conditions. Table 7 shows the results of the measurements of both instruments. The temperature of the piece was monitored with a digital thermometer whose calibration uncertainty is 0.1 °C, which already includes…

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.

Lab 2-Measurement Asynch - Tagged.pdf Page 4 of 7 ? Part I: Taking Measurements & Estimating Uncertainties for a single measurement www.stefanelli.eng.br The mass of the object is_ 0 i Parts on a tripie peam palance 0 0 10 20 30 1 100 2 3 40 200 4 +/- 50 60 70 5 300 7 400 80 Qv Search 8 90 9 500 100 9 10 g www.stefanelli.eng.br

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

Record the dimensions of the known (calibration) block using the caliper and dial gauge on the table below. Indicate the units of each measurement. Calculate the average length of each side of the block. Dimension Caliper (Units) 0.995 1.455 0.985 Ruler(in) A: 0.9 B: 1.5 C: 0.9 A B C Dimension A B Instrument Use the average dimensions (see Problem 2a) of the known block to calibrate the LVDT at your workstation. Record the voltage on the table below: LVDT Offset: 0.556 (Do not include the offset value in your average dimensions) C Ave Dimension (Units) (Dial Gauge) 0.997 1.659 0.949 0.964 in 1.538 in 0.945 in oltage Average Dimension 1.244 volt 1.994 1.28 0.964 in 1.538 in 0.945 in

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)

Problem 2. The sides of a thin rectangular block are measured using different digital calipers as 25.00 + 0.05 mm and 17.50 + 0.01 mm. Based on the data, the perimeter of the block is calculated as 85.0 mm by adding the length of the four sides. What is the uncertainty in the perimeter of the block expressed in mm?

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

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Question 4

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A Pitot tube measures a pressure difference Pa = Pt- Ps (dynamic = total - static) between the front and side of the Pitot tube. The dynamic pressure is given by the kinetic energy due to the airspeed v, allowing airspeed to be calculated from the measured pressure difference. (a) P₁ = ² pv² ⇒ v= When designing a Pitot tube, a manufacturer wants to make it precise enough to measure airspeed to within 0.5 % uncertainty, i.e. = 0.005, at sea level. Av p=(1.225 +0.0005) kg/m³ at sea level. (b) 2Pd Av Using error propagation, derive an expression for Simplify as much as possible! ΔΡΑ Pd Calculate the maximum permissible %-uncertainty in Pa, i.e. allow the Pitot tube to meet the manufacturer's requirements. Hint: Answer 1% x 100, that will