Question 1 (2.5 pts): Wave short-term statistics. A wave buoy measured the wave
Question 1 (2.5 pts): Wave short-term statistics. A wave buoy measured the wave climate during 35 min and provided a list of 444 individual waves with their number, period (in seconds, second column) and height (in meters, third column). See file attached “Exam_hw_individual.dat”.
Determine all the representative wave height parameters Hmean, Hmax, Hrms, H1/3, H1/100 .
Determine the representative period parameters Tmean, Trms, T1/3, T1/100
What is the ratio between H1/3 and Hmean and Hmax and H1/3? Do they make sense based on what you learned in class? (i.e. compare with the common values you should expect).
You can use Excel or Matlab to solve these questions. Clearly describe how you created your code in Matlab or formulas in Excel. The presentation of numbers without justification will have no points.
Question 2 (2.5 pts): Wave long term analysis and return period. In a certain location, the PoT analysis (with waves over 2 meters) has identified 1800 storms within an interval of 20 years. Using the Weibull distribution and the PoT analysis, an statistician has determine the values of A=1.23, B=1.19 and alpha=1.22. You need to design a breakwater to protect a nuclear plant which has to resist a wave exceeded with a return period of 200 years. What is the height of the wave you need to consider?
note*** plagiarism will be checked, please submit hand written answers with all details and steps clearly shown.