Copy of Lab 4 _ The Human Arm

A grocery store sells 5-lb bags of mangoes. You purchase four bags over the course of a month and weigh the  mangoes each time. You obtain the following measurement: Week 1 weight: 4.8 lb Week 2 weigh: 5.3 lb Week 3 weigh: 4.9 lb Week 4 weigh: 5.4 lb Does the measurement have random error? Does the measurement have systematic error?

To measure the density of a stone, a digital scale and a beaker cup filled with water are used. The balance is used to measure the mass of the stone, while the beaker is used to measure the volume of the stone. It is known that the digital balance has a resolution of 0.1 g and that the beaker cup has a resolution of 5 ml. Repeated mass measurements return the following values: 250.0 g; 249.9 g; 250.3 g; 249.6g; 250.1 g; 249.7g; 250.4 g; 250.0 g; 248.8 g; 250.2 g The volume is measured only once. Placing the stone in the beaker, a volume of displaced water equal to 50 ml is measured. Using a k=2.5, check if the density of the stone is compatible or out of line with the value ρ = (4910 ± 65) kg.m-3 (a) none of the above (b) the values ​​are compatible (c) missing data to perform the compatibility test (d) the values ​​are discrepant

A company that manufacturers gas cylinder is interested in assessing the relationship between pressure dependent variable and volume of the gas independent variable. The table below gives experimental values of pressure of a given mass of gas corresponding to various of the volume. According to the thermodynamic principles, the relationship be of the form of  PVy=C where y and C are constants Volume 53.3  61.8  72.4  88.7  119  194 Pressure 61.2  49.5  37.6  28.4  19.2  10 Find the values y and c that best fit the data

The actual value of pressure differential for flow across a venturimeter is 60 mm WC. The measured values using a pressure sensor are; Confidence level 95% mm WC 59.8,59.2,59.7,60.2,60.3,60.1,60.5 Estimate Bias uncertainty (1) Precision uncertainty (2) Total uncertainty (3)

In a yogurt filling line, the containers are filled with yogurt. The producer uses a scale with anaccuracy of 1,8 percent of its range of 9 kg to measure the mass of each container in order to calculate theuncertainty in mass of the containers. 19 containers are selected at random and measured. The averagemass is 2 kg, and the standard deviation of the measurements is calculated to be 0,89 kg. Calculate the total uncertainty of the average mass of the containers at a 95 % confidence level.

In a Measurement ,the Expected value is 94 V and the measured value is 88 V. Find   (i) absolute error Ea , (ii)Relative error Er, (iii) Absolute accuracy Aa  (iv) Relative Accuracy Ar.

An airplane builder wants to build a scaled-down model of a real airplane in a 12:1 ratio in order to be able to perform tests in a wind tunnel. The real plane flies at 126 km/h, while the air speed in the tunnel where the model is located is given by V. The performances of the two will be equivalent for a value of V, in m/s, equal to Data: air viscosity η = 1.8 × 10-5 kg/(m.s) air density ρ = 1.3 kg/m3

Voltage E = 220 V ± 1% and resistance R = 22 W ± 0.5% were measured in an electrical circuit with measuring devices. What is the uncertainty in calculating the electrical power expressed as P = E2 / R? A)%2.45 B)%2.53 C)%2.24 D)%2.35 E)%2.64

The shear modulus, G, of an alloy can be determined by measuring the angular twist, θ,resulting from a torque applied to a cylindrical rod made from the alloy. For a rod of radius Rand a torque applied at a length L from a fixed end, the modulus is found by G=2LT/pR4θ.Examine the effect of the relative uncertainty of each measured variable on the shearmodulus. If during test planning all of the uncertainties are estimated to be 1%, what is theuncertainty in G?

Q2. Given a set of data that measured a diameter of a tube d1 = 1.65 mm, d2 = 1.66 mm, d3 = 1.65 mm, d4 = 1.64 mm  Determine the uncertainty of the diameter

How is thermal energy lost when a person exits a building through an exterior door in the winter? a) Description of your level of confidence in the variable values. b) The overall level of confidence in the solution and why. Just need answers for these two questions ?

Table 1 shows the variation of dynamic viscosities of water with absolute temperature. Table 1: Dynamic viscosity of water with absolute temperature. Viscosity µ, Pa.s x 10-³ 1.787 Temperature, K 273.15 278.15 283.15 293.15 303.15 1 313.15 333.15 353.15 373.15 4G 1.519 1.307 1.002 0.7975 0.6529 0.4665 0.3547 0.2828 a) Using excel software, develop a relationship of for viscosity in the form of μ=A+BT+CT² + DT³ + ET. Done Show your trend line regression and standard deviation for linear and polynomial index (quadratic T², cubic T³ and T). b) Using the relationship developed, predict the dynamic viscosity of water at 50 °C at which the reported value is 5.468 x 10 Pa.s. Compare your result with the results of Andrade's equation which is given in the form of μ = D.e BT where D and B are constants whose values are to be determined using viscosity data given.

You are abducted by aliens and find yourself locked in a large room on some strange planet. To pass the time, you decide to do some experiments using a ball-and-chain that you find on the floor. You make the following estimates: m(BALL) = 7 kg , m(CHAIN) = 0.5 kg , and l(CHAIN) = 2 m . (a) When you hold the free end of the chain above your head and allow the ball to swing like a pendulum, you use your wristwatch to measure the period as T = 4 s . What is the acceleration due to gravity on this planet?(b) If the ball accidentally hits a wall, how long does it take for this jolt in the chain to travel up to your hand?

Cardiologists use the short-range scaling exponent α1, which measures the randomness of heart rate patterns, as a tool to assess risk of heart attack. The article “Applying Fractal Analysis to Short Sets of Heart Rate Variability Data” compared values of α1 computed from long series of measurements (approximately 40,000 heartbeats) with those estimated from the first 300 beats to determine how well the long-term measurement (y) could be predicted the short-term one (x). Following are the data (obtained by digitizing a graph).  Short Long 0.54 0.55 1.02 0.79 1.4 0.81 0.88 0.9 1.68 1.05 1.16 1.05 0.82 1.05 0.93 1.07 1.26 1.1 1.18 1.19 0.81 1.19 0.81 1.2 1.28 1.23 1.18 1.23 0.71 1.24   Note: This problem has a reduced data set for ease of performing the calculations required. This differs from the data set given for this problem in the text.     Compute the least-squares line for predicting the long-term measurement from the short-term measurement.…

Using Newton’s laws, we could show that for some pendulums, the period T is related to the length l and free-fall acceleration g by  T=2pi square root of (l/g) , or T2 = (4pi2/g) * l          Does one of your graphs support this relationship? Explain. (Hint: Can the term in parentheses be treated as a constant of proportionality?)

Materials of Interest: CuFeS, in a silica matrix, 1.5% Cu (4.3318% CuFeS,); Top Size = 1.5 cm; CuFeS, grain size = 0.01 cm Desired sampling accuracy: +0.02% Cu, certainty of 0.99 (2.576 standard deviations) CuFeS, specific gravity=4.2: Overall specific gravity 2.8 Broad size distribution. Determine the minimum sample weight (in grams) needed for testing.

The standard deviation of linear dimensions P and Q are 3 um and 4 um respectively. When assembled, the standard deviation in um of the resulting linear dimension P+Q will be,

Five of your classmates measured the diagonal length of the blackboard. Classmate A measured it as 2.54 m; classmate B as 2.46 m; classmate C as 2.65 m; classmate D as 2.55 m; and classmate E as 2.39m. Find the variance and standard deviation of the measurements. Also, express the average measurement in a form that includes uncertainty.

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.

The heat transfer between a solid body and a fluid medium is determined by the equation Q=h·A·(Ts-Tf). Here; Q is the amount of heat transferred, h is the heat transfer coefficient, A is the heat transfer surface area, Ts is the temperature of the surface and Tf is the temperature of the fluid. These parameters were measured as h=250±1.75 W/m2ºC, A=20±0.75 m2, Ts =100±0.75ºC and Tf =25±0.75ºC, including error levels. What is the total uncertainty in the amount of heat transferred, in ±%? a. 3.98 b. 4.07 c. 2.73 d. 2.95 e. 3.88