STAT QUIZ

Describe the extent to which your data indicate that mechanical energy is conserved. Consider the percentage differences in the energy changes in Data Table 2 and Data Table 3 in youranswer.

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The following data are given for a certain rocket unit: Thrust, 8000 N Propellant weight flow rate, 36 N/sec Speed of rocket, 800 m/s internal efficiency32%combustion efficiency 97 % Determine (a) the effective velocity; (b) total kinetic energy per second (c) calorific value of propellant (d)  the propulsive efficiency (e) the overall  efficiency (f) the specific impulse (g) the specific propellant consumption ????? =1/3 ?(?^2) hV cylinder = ?(?^2) h V frustrum = 1/3 ?ℎ(?^2 +?^2 +? ×?)

A model pump has an impeller diameter of 30 cm. During a manufacturer's test, this model achieved an efficiency of 80%. A prototype in the same family (geometrically similar) is 10 times larger than this tested model. Under the same operating conditions dynamically similar to those in the model test, what most approximately will be the efficiency of the prototype pump? O 74% OOOO O 64% O 84% O 94%

What is the length, in meters, of the blades of a turbine that generates 2.1 MW of power when the wind speed is 6.8 m/s. Assume a power coefficient of 0.33. Round off your answer to a whole number (no decimals) and do not include the unit.

11 Sunco Oil has refineries in Los Angeles and Chicago.The Los Angeles refinery can refine up to 2 million barrelsof oil per year, and the Chicago refinery up to 3 million.Once refined, oil is shipped to two distribution points:Houston and New York City. Sunco estimates that eachdistribution point can sell up to 5 million barrels per year.Because of differences in shipping and refining costs, theprofit earned (in dollars) per million barrels of oil shippeddepends on where the oil was refined and on the point ofdistribution (see Table 51). Sunco is considering expandingthe capacity of each refinery. Each million barrels of annualrefining capacity that is added will cost $120,000 for the LosAngeles refinery and $150,000 for the Chicago refinery. Uselinear programming to determine how Sunco can maximizeits profits less expansion costs over a ten-year period.

Construct a qualitative work-energy bar chart for a process that is consistent with the equation below. Then describe in words and with a sketch a process that is consistent with both the equation and the bar chart. (1/2) (400 N/m) (0.20 m)² = (1/2) (0.50 kg) v² Ability A2: Can construct new representations from previous representations Needs Work Representations are created without mistakes, but there is information missing, i.e., labels, variables. Adequate Representations are constructed with all given (or understood) information and contain no major flaws. Adequate Sketch contains all key items with correct labeling of all physical quantities have consistent subscripts; axes are drawn and labeled correctly. + (0.50 kg) (9.8 N/kg) (0.80 m) Adequate Bar chart is properly labeled and has energy bars of appropriate magnitudes. The system is clearly identified. Inadequate Representations are attempted but use incorrect information or the representation does not agree with the…

Submit correct and complete solutions. Provide step-by-step detailed explanations.

Fluid runs through a drainage pipe with a 10-cm radius and a length of 30m (3000cm). The velocity of the fluid gradually decreases from the center of the pipe toward the edges as a result of friction with the walls of the pipe. For the data shown, v(x) is the velocity of the fluid (in. cm/sec) and x represents the distance (in. cm) from the center of the pipe toward the edge.   x 0 1 2 3 4 5 6 7 8 9 v(x) 195.2 194.7 193.7 192.3 190.6 188.4 185.8 182.8 179.5 175.7   Use regression to find a quadratic function to model the data. Use all of the given data points and round each coefficient to 4 decimal places.