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- The processing of raw coal involves “washing,” in which coal ash (nonorganic, incombustible material) is removed. The article “Quantifying Sampling Precision for Coal Ash Using Gy’s Discrete Model of the Fundamental Error” (Journal of Coal Quality, 1989:33–39) provides data relating the percentage of ash to the volume of a coal particle. The average percentage of ash for six volumes of coal particles was measured. The data are as follows: Volume (cm3) 0.01 0.06 0.58 2.24 15.55 276.02 Percent ash 3.32 4.05 5.69 7.06 8.17 9.36 Using the most appropriate model, predict the percent ash for particles with a volume of 48 cm3. Round answer to three decimal places. * the answer i got was of 6.260 was wrongThe 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. 3.88the following data is obtained for the velocity of a vehicle during a crash test: t(ms) v(mph) 0 30 10 29.5 20 28 30 23 40 10 50 5 60 2 70 0.5 80 0 if the vehicle's weight is 2,400 lb, approximate the force f in lb acting on the vehicle 40ms after the crash. the force can be calculated by F=m(dv/dt) , and the mass of the car m is 2400/32.2 slug. note that 1 ms=10^-3 s and 1 mile = 5,280 ft. convert t to secons and mph to fps. use 1st order forward, backward, and centered difference and apply Richardson's approximation. use h1=0.02 and h2-0.01s.Show detailed solution. Thanks!
- The transducer specified in Table 1.1 is chosen to measurea nominal pressure of 500 cm H2O. The ambient temperature is expected to vary between 18 ∘C and 25 ∘C duringtests. Estimate the possible range (magnitude) of each listedelemental error affecting the measured pressure refering to the solution provided online, Sensitivity error(eK) = (±0.0025)(500 cm H2O)= ± 0.75 cm H2O = ± 0.00375 V how do you get 0.75?? shoud it not be 1.25? according the answer, for sensitivityFrom the following test data estimate the values of Ks and Kefor the filter drag model. Limestone dust loading = 1.0g/m3 Fabric area = 1.00m2 Air flow rate = 0.8m3/min Time min 5 10 15 20 25 30 Filter ∆P, Pa 330 490 550 600 640 700 Give your answers in units of (Pa-min-m)/g and (Pa-min)/m respectivelyForecast sales for the 7th period. For leveling, use exponential smoothing 0.20 and moving average 3 for averaging; and linear and exponential functions for trend data. Assume an initial exponential forecast of 60 units in period 2 if you decide to use it (i.e., no forecast for period 1). Period Demand 1 67 2 72 3 68 4 20 5 70 6 66 7 68
- 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.…The speed of sound traveling through the sea is a function of temperature, salinity, and pressure. It is modeled by the function C = 1449.2 + 4.67T -0.055T² +0.00029T³ + (1.34-0.01T) (S-35) + 0.016D where C is the speed of sound (in meters per second), T is the temperature (in degrees Celsius), S is the salinity (the concentration of salts in parts per thousand, which means grams of dissolved solids per 1000 grams of water), and D is the depth below the sea surface, in meters. Calculate the following (Check attached image d3) when T = 10 °C, S = 35 parts per thousand, and D = 100 m. Explain the physical meaning of these derivatives.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.
- يخرج الهواء من فوهة معزولة عند 27 درجة مئوية و 100 كيلو باسكال و 150 (م / ث). إذا كانت الكفاءة الحرارية للفوهة 90٪ ، ارسم مخطط Ts لهذه العملية وحدد درجة حرارة المدخل والضغط (7، & P)؟ خذ (Cp = 1.005 و k = 1.4).A vertical chemical reactor undergone a maintenance in which its internals were subjected inspection from bottom to top before catalyst loading. A site engineer (63.00 kg) was tasked to do the inspection and he stopped from time to time at each portion to inspect. A safety officer monitored the engineer’s position while watching from the top and reported his position (Refer to the photo attached. CORRECTION for data table at t=70.00 min, position=725.0 cm): Solve for: (a) Power he exerted at t = 50.00 min (b) Power he exerted at t = 65.00 min (c) Total Work he exerted throughout the inspection (d) Average Power throughout the inspectionWhat mathematical relationship exists between the wave speed and the density of the medium, using the POWER trendline equation from the graph? Make your response specific (i.e., describe the full mathematical proportionality between the two variables) Feel free to use the table. Table: Frequency (Hz) Density (kg/m) Tension (N) Speed (cm/s) Wavelength (cm) 0.85 0.1 4.0 632.5 744.12 0.85 0.7 4.0 239.0 281.18 0.85 1.3 4.0 175.4 206.35 0.85 1.9 4.0 145.1 170.70