# Real Tidal Waves Model Paper

Decent Essays

My goal is to build a model and find the best possible fit and variance from the real tidal motion throughout these three days. I chose this location because Florida has always been one of my favorite states and because I like to visit Hollywood in California, and when I saw Hollywood Beach, I thought it was a perfect fit. The three days I chose in particular were because my birthday is on June 13th and I have visited Florida between this time. I went to Florida for a week when I was 14 and it happened to fall right on my birthday, so it will forever be a memory. The units for my x and y axis are the x-axis is the time and the y-axis is the height of the tide converted into feet. The time is significant because since it’s over a three-day …show more content…

The line is not a good fit because it does not match up with points exactly. I found the amplitude by finding the average height of each high, medium, and low point of the tides, and then taking the medium tide average and subtracting that from the high tide average. Then, I took the low tide average and subtracted that from the medium tide average. From subtracting the medium from the high tide averages I got .748, and from subtracting the low from the medium tide averages I got .741. Next, I took these two numbers, added them and then divided that by two which gave me my amplitude of .7445. To find the period I took the middle point of the high points and the middle point of the low points and subtracted the time value of each of those, which gave me six. Then I put two pie over six which reduces to pie over three and in decimal form equals 1.04. My phase shit was five because my first x-value was five given from the tide website. My vertical shift was .997 and I found that by taking all of the middle points and taking the average of those. I used cosine instead of sine because my graph started at the amplitude and went towards the middle instead of going from the middle to the