Tide Modelling - Science & Maths Assignment Help

Assignment Task

Part 1: Tide Modelling 
Objective: Create a function that models the tide at a given location. 
Background: Tides occur in alternating major and minor pairs. A major high tide will be followed by a major low tide. then a minor high tide is followed by a minor low tide, before the pattern repeats beginning with another major high tide. 
(In reality, the tides are more complex than this. Eventually the major tides will decrease in amplitude, and the minors will increase in amplitude, such that they cross over and swap monikers. When this happens, a major low will precede a major high, which are then followed by a minor low and minor high. Just ensure the data you collect is from either side of the cross over point.) 

• Data Collection 

I. Nominate a NSW coastal location for which tide data is available and record 4 days of tide data. Collect 8 consecutive high tides and 8 consecutive low tides (4 major tide pairs and 4 minor tide pairs). Under the heading of Data Collection, present this data as photographs or sercenshots of your data sources. 

• Major Tide Model 

I. Under the heading of Major Tide Model, create a table of the major high and low tides. Your table is to use the units of metres and hours. 2. Using appropriate graph drawing software, plot the points from the above table on a set of axes.

3. Draw 2 dashed horizontal lines representing the average highs and lows respectively.

4. Determine a sine function of the form y = a. sin(bx + c) + d that passes though, or close to, as many of the plotted points as possible. The maxima and minima should lie on, or close to, the corresponding average line.

5. Plot this function on the same set of axes as the points in (2) above.

6. Record the output and the equation of the function. 

• Minor Tide Model 

1. Under the heading of Minor Tide Model, create a table of the minor high and low tides.

2. Using appropriate graph drawing software, plot the points from the above table on a set of axes.

3. Draw 2 dashed horizontal lines representing the average highs and lows respectively.

4. Determine a cosine function of the form y = a. cos(bx + c) + d that passes though, or close to, as many of the plotted points as possible. The maxima and minima should lie on, or close to, the corresponding average line.

5. Plot this function on the same set of axes as the points in (2) above.

6. Record the output and the equation of the function.

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