Imagine that you are asked to compute the surface area of planet earth. You will use the following model to find the surface area of the Earth: A = 4rr? • Identify the sources of errors that may exist in this model. • What is the maximum precision with which you can report your result(Km², m², cm², etc.)? (Provide an argument to support your answer.)
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- Given the data x 1 2 3 5 7 8 f (x) 3 6 19 99 291 444 Calculate f (4) using Newton’s interpolating polynomials of order 1 through 4. Choose your base points to attain good accuracy. What do your results indicate regarding the order of the polynomial used to generate the data in the table?Problem 2 Calculate the distance from the base of a rectangle to the centroid of its area. Assume the width of the base is b and the height h. Do not just write the final answer. You must integrate to get the answer!Please solve True value density (kg/m3) and Percentage of Error
- 2.) ANALYZE COMPLETELY AS PRESENTED IN THE POWERPOINT LECTURE. You may not copy the problem. SUMMARIZE ANSWERS 0.9m 900N 0,6m 2.4 m 2000 N A自 0.6 1.8 1.8The shape shown in figure below has its centroidal axis y'-y', x, mm from the y axis. Calculate the second moment of area (moment of inertia of area) of the area about y'-y'. The circular hole has a radius r2. Select the closest answer from the options given. Note that the answer is given to 3 significant figures. The second moment of area of a circle about its own diameter is given by Tr* and that of a rectangle is bA You are provided with the following data, a, = 9 mm,b, = 9 mm, a, = 2 mm, b, = 2 mm, r2 = 1.9 mm, x. = 0.33 mm. 12 y' University of Wol ENGG107inal am versity of Wollongong ENGG102 Final Exam b2 Xc a2 bị a1 O 627 mm^4 y' O 528 mm^4 O 484 mm^4 O 488 mm^4 Clear my choiceAt time t = 0 s, an object is observed at x = 0 m; and its position along the x axis follows this expression: x = -4t + t2, where the units for distance and time are meters and seconds, respectively. What is the object's displacement ?x between t = 1.0 s and t = 3.0 s? A +10 m B +2 m с -5 m D -21 m E +16 m
- Problem 4: Values: ● ● ● a = 300 mm b = 75 mm c = 100 mm Use the graphical method to break F into components parallel to bars AB and BC. If the component parallel to bar AB is 7 kN, what is the magnitude of F? a F BThe answer is already given, I just need the solution. Please make the solution neat and readable. Thank you. Answer: Elò= 3350 N m^3In the given figure below, a tube was supported at A and E with a ball and socket and a wire at D connected to F. Determine the following give that Force F is equal to 690.86 N. Note: Express your answer in terms of the units. Observe 3 decimal places. The error threshold is ± 2.50% Relative to the right answer. XB: 188.419mm Xc: 471.768mm Ya: 209.808mm Ze: 155.444 mm Zf: 471.096 mm 5.) Determine the x-component of the moment experienced by the system assuming that there is no wire support. 6.) Determine the y-component of the moment experienced by the system assuming that there is no wire support. 7.) Determine the z-component of the moment experienced by the system assuming that there is no wire support. 8.) Determine the Tension experienced by the wire DF.
- In the given figure below, a tube was supported at A and E with a ball and socket and a wire at D connected to F. Determine the following give that Force F is equal to 690.86 N. Note: Express your answer in terms of the units. Observe 3 decimal places. The error threshold is ± 2.50% Relative to the right answer. XB: 188.419mm Xc: 471.768mm Ya: 209.808mm Ze: 155.444 mm Zf: 471.096 mm 1.) Determine x-component of vector DF. 2.) Determine the y-component of Vector DF 3.) Determine the z-component of Vector DF. 4.) Determine the moment experienced by the system assuming that there is no wire support.EXAMPLE (2) A bar of uniform cross sectional area 100mm2 is subjected to forces as shown in Fig . Calculate change in length of the bar. Take E=2*10 N/mm?. A B C D 1kN 5KN 6KN 2kN 300mm 400mm 600mmAn engineering function is given by a = y?e? cos x At x = 1.3,y = 2.1, and z = 4.9, compute the absolute and relative erors if the error in the values of x,y and z are 0.05 (correct to 5 decimal digits)