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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- Please solve True value density (kg/m3) and Percentage of ErrorProblem 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!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 1.8
- 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?At 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 mThe 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 choice
- 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 BIn 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.The answer is already given, I just need the solution. Please make the solution neat and readable. Thank you. Answer: Elò= 3350 N m^3
- 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)