answer all parts =Problem 2. Measurements of the diameter of spherical plastic beads from the large population of thebeads produced in similar conditions were recorded as three independent data sets. The followingstatistics parameters were evaluated: N₁ = 45; d₁ = 8.35 mm; Sa₁ = 0.09 mm; N₂ = 40; d₂8.33 mm; Sa2 = 0.11 mm; N3 = 38; d3 = 8.4 mm; Sd3 = 0.13 mm. Neglecting systematic errors anderrors other than variation in the measured data set, calculate:(a)An estimate of the pooled mean value of the bead's diameter:Answer:(b) [1] The range in which the true mean should lie within 95% confidence:

(a). The pooled mean value is 8.3589(b). The range is 8.109 ≤ μ ≤ 8.608 Please give positive…

Answered: = Problem 2. Measurements of the…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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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?
"The temperature of an ice bath is measured numerous times with a digital thermometer. The true temperature of the ice bath is 0.07202C. The sample mean temperature is T = -0.0008C. The sample standard deviation of all the readings is 0.02529C. We assume that the precision errors in the readings are purely random. In the standard engineering format, calculate the tolerance for 95%."
The following data were collected from a 12 mm diameter test specimen of Magnesium. LOAD (N) GAUEGE LENGTH (mm) 0 5000 10000 15000 20000 25000 26500 27000 26500 30.000 25000 30.0296 30.0592 30.0888 30.15 30.51 30.90 31.50 (maximum load) 32.10 32.79 (fracture) After the fracture, the gauge length is 32.61 mm and the diameter is 11.74 mm. a) What is the elastic modulus? b) Percent elongation at fracture? c) Percent elongation after fracture? d) What is the Poisson's ratio? e)Draw the engineering stress-strain diagram corresponding to the values in the table. Call this plot I. Now consider this experiment is repeated at a higher temperature with an identical sample. Draw the new engineering stress-strain diagram, call it plot II and highlight the differences (on the same graph) between I and II.
A random sample of 83 reconstructed clay vessels from the Turquoise Ridge archaeological site indicated the standard deviation of diameters to be approximately 5.5 cm. How many more such clay vessels must be found and reconstructed to be 95% sure that the sample mean of diameters is within 1 cm of the population mean of all such reconstructed clay vessels at this archaeological site?
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 50 m tape was standardized and found to be 0.0015 m longer at an observed temperature of 31.5°C under a pull of 10 kg. The same tape is used to measure a line found to be 523.61 m at an average temperature of 24.5 °C using a pull 12 kg. What is the correct length of the line?
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…
The shear modulus. G. of a material can be determined by applying a torque. T, on a cylindrical material specimen and measuring the angular twist, 0. The modulus can then be calculated from: G each measured variable (L. T.t. 0, R) is 3.4%. 3LT 2 Ree where R and Lare the specimen radius and length, respectively. The relative uncertainty in What is the total relative uncertainty in G? (Provide your amwer as a percentage using two decimal places. Do not include the % symbol.) 1226
4. A proposal for a “Smart" car seat operates by detecting the weight of the passenger and comparing against various thresholds. If the weight of the passenger is below 15 kg, the car would prevent deployment of an air bag in a collision. A standard "passenger" has a weight of >50 kg. The empty seat weighs 25 kG. The weight sensor is constructed with a strain gauge placed in one of the 4 “feet" of the car seat. In this position, it detects exactly 1/4 of the weight of the car seat plus the passenger. It consists of a structure that has a pre-assembly length of 1 cm, and a stiffness of 1,000,000 N/m. A metal film strain gauge with a nominal resistance of 10 kN and a gage factor of 2.0 is attached to this structure so that the weight of the car seat causes tensile strain in the strain gauge that is the same magnitude as the strain in the feet. a) If the unloaded length of the "foot" is 1 cm, what is the length when seat is mounted after the installation? If a 50 kG passenger sits in the…
Home work for tensile test The following data was obtained from a tensile test on 135 Load (kN) Extension (mm) 16 32 56 72 95 110 132 142 140 0.2 0.4 0.7 0.9 1.5 2.5 5.0 8.5 10.0 12.0 a specimen of 10mm diameter and gauge length 60mm. Using the graph paper supplied, plot the load-extension diagram and determine: (1) The tensile strength (2) 0.1% Proof Stress (3) Young's Modulus for the specimen
3. A consumer product company is formulating a new shampoo and is interested in foam height (in millimeters). Foam height is approximately normally distributed and has a standard deviation, 6, of 10 millimeters. The company wishes to test the following hypotheses using the results of n=25 samples: Ho: μ = 160, Ηi: μ < 160 The critical region to reject the null hypothesis is X < 155 %3D (a) Find the type I error probability a. (b) Find the probability of type II error if the true mean form height is 159 millimeters.
Pressure distribution measurements are made on a two-dimensional wing model placed in a wind tunnel. The difference between the static pressure sockets on the surface and the static pressure of the free stream is measured. 30 data is taken at each measurement point. The average of the values measured from one of the sockets near the trailing edge was calculated as 2.30 Pa, and the standard deviation was calculated as 2.65 Pa. After applying the Chauvenet criterion to these measurement values, it was decided to eliminate 3 measurements and the new mean value was found to be 2.18 Pa and the standard deviation was 2.42. It was verified that the unexcluded data fit the normal distribution curve. Data above how many Pa and below how many Pa were eliminated? Estimate how many data have negative value (?<0) after elimination.

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