Conduct a Monte Carlo simulation to predict the statistical outcome of a planned test to measure drag coefficient, CD = D/(0.5pU²A), on an airplane wing model. Experience shows that drag, D, and 4 Chapter 4 Probability and Statistics density, p, follow normal distributions, while velocity, U, and area, A, follow rectangular distribu- tions. Expected values are given below. Determine the mean, standard deviation, number of iterations for convergence, and the histogram for Cp. D-SN Sp=0.5N U-10m/s 9≤U≤ 10m/s p=1.225 kg/m³ -0.012kg/m² A=0.50m² 0.48 SA≤0.52 m²

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4.55 Conduct a Monte Carlo simulation to predict the statistical outcome of a planned test to measure drag
coefficient, Cp = D/(0.5pU A), on an airplane wing model. Experience shows that drag, D, and
160 Chapter 4 Probability and Statistics
density, p, follow normal distributions, while velocity, U, and area, A, follow rectangular distribu-
tions. Expected values are given below. Determine the mean, standard deviation, number of iterations
for convergence, and the histogram for Cp.
Ū = 10m/s
9SU< 10m/s S = 0.012kg/m
D=5N
P= 1.225 kg/m
A = 0.50 m?
SD = 0,5 N
0.48 SAS 0.52 m²
Transcribed Image Text:4.55 Conduct a Monte Carlo simulation to predict the statistical outcome of a planned test to measure drag coefficient, Cp = D/(0.5pU A), on an airplane wing model. Experience shows that drag, D, and 160 Chapter 4 Probability and Statistics density, p, follow normal distributions, while velocity, U, and area, A, follow rectangular distribu- tions. Expected values are given below. Determine the mean, standard deviation, number of iterations for convergence, and the histogram for Cp. Ū = 10m/s 9SU< 10m/s S = 0.012kg/m D=5N P= 1.225 kg/m A = 0.50 m? SD = 0,5 N 0.48 SAS 0.52 m²
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