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mae155b_hw2sol

# mae155b_hw2sol - MAE155b Homework 2 SOLUTIONS 1...

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MAE155b Homework 2 SOLUTIONS 1 Questions (and Answers) 1. What was the difference between the theoretical estimate and the actual performance? My single estimate for time of flight was 20.35 seconds. The median actual time of flight for the class was 19.7 seconds. 2. Why were they different? Most teams looked at only one data point to derive one solution. In reality, there is always variance to all real parts and the solution should be more probabilistic in nature. 3. How do you improve the model with 20-20 hindsight? Vary the model parameters to reflect the real manufacturing tolerances and performance expectancies. 4. Re-run the improved model and see if it worked better. A Monte Carlo simulation was run given the statistical properties of the hardware at hand. The results are summarized directly below. Notice that all of the rocket launches were within the normal range of expected performance. 1

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10 15 20 25 30 35 40 45 50 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 Time of flight [s] Normalized occurances mean=19.5, σ =4.24, median=19.7, (Actual) mean=21.3, σ =4.33, median=20.9, (Sim) Monte Carlo Actual Flight Data (a) Figure 1: DistributionofTimeofFlight 30 40 50 60 70 80 90 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 h max [m] Normalized occurances mean=50.6,
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mae155b_hw2sol - MAE155b Homework 2 SOLUTIONS 1...

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