How to Graph Tides Using Sine Curves.
Daylight hours are dependent on sunrise and sunset times for each day which are dependent on seasonal change. The number of daylight hours can be represented by a periodic function. This periodic function can help Alaskan Council predict daylight hours for tourist travelling to watch their Bore Tide. A Bore Tide is a tidal phenomenon in which the leading edge of the incoming tide forms a wave (or waves) of water that travels up a river or narrow bay against the direction of the river or bay's current. Anchorage, Alaska is known for its famous Bore Tides. These bore tides occur at least once a day during high and low tide. Yet, health warnings are applied to viewing bore tides during low tide. Tourists have died by getting …show more content…
Question 1e:
Simple deriving and calculus was used to verify that the equation L=417 sin[2π/365 (t81)]+744 for when the longest and shortest day of the year occur. The derivative of the function was started by using the chain rule(dy/dx=dy/du*du/dx). The derivative was found to be: dy/dx=2π/365 417 cos(2π/365 t162π/365). dy/dx was made to equal 0 therefore the equation will end up looking like: 0=cos(2π/365 t162π/365). When dealing with a cos curve on a unit circle cos can only be 0 at 90 degrees (π/2) and 270 degrees (3π/2) therefore meaning that to find the longest and shortest days (2π/365 t162π/365) is made

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This is an essay I did on explaining how gravity works as well as how it effects the tides... How high tide and low tide work
1146 Words  5 PagesEarth and 24kg on the moon. This explains weightlessness in space. In space there is no gravity, so you have no weight. Tides At any time on earth there are 2 high tides and 2 low tides, each directly across from each other, as shown in the diagram above. In this diagram,(from Physics for a modern world 1986), points 1 and 2 are at high tide and points 3 and 4 are at low tide. The force of the moon on the earth complies with normal laws of gravity. While the moon pulls strongly upwards (away from…
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