I decided to focus this Mathematical Exploration on the math behind oceanic tides. I began by looking at the generic possibilities set out by my teacher. Among them was the idea of math being applied to water. In my initial search I found nothing that seemed interesting to me, however, I wanted to stick to the broad topic of water. After continued search I decided to focus on a subject important to me the ocean, specifically oceanic tides. Every year my family takes a trip to California for a week at the beach and since I was a little kid I was perplexed that the water would come up the beach at night and recede during the day. As I grew older and I learned this movement was called the tide and was caused by the moon and the sun’s gravity affecting the ocean. Thus I decided to take the exploration as a chance to further my knowledge of this subject and tides became my subject for this.
I thus decided to explore geographical and gravitational effects on tides along with solar and lunar tides and finally predicting the tides.
With the 39% of Americans living in counties on the shore line of the ocean, tides are forces of nature that many people deal with on a day-to-day basis. But what do we know about the tides? We know that the tides are the rising and falling of the ocean levels because of the gravitational pull from the sun and moon. There are also generally four tides in a day two lunar tides and two solar tides.
In order to explore the tides one must first deduce the big ideas needed to understand them. These include factors that can affect the tides such as the geography of an area and gravitational pulls. Also a separate look at solar and lunar tides will be taken. Finally tidal predictions will be taken under consideration...
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...e highest and lowest tides occur when h’(t)=0
Using this we can predict that the lowest tide of the first week occurred at t_min= 124.58 hrs and h(t_min) = −0.86 ft. This predicts there is a low tide at 4:35 am on Sept. 6 of -.86 ft. The actual low tide occurred at 3:35 am on Sept. 6 of -1.0 ft. The prediction was off by 60 minutes and 0.14 ft. Using the same process we can predict the highest tide of the first week. Here we get the max occurring at t_max= 142.56 hrs and h(t_max) = 6.40 ft or Sept. 6 at 10:33 pm with a height of 6.4 ft. The actual is a tide of 6.7 ft at 9:36 pm on Sept. 6. This time we were off by 0.3 ft and 57 minutes off. This model proved to not be 100% accurate, however, only 4 cosine functions were used to predict the tides while most models use up to 12 and the addition of more functions and parameters would create more accurate predictions.
[4.1] On average, how many high and low tides will a given spot on the coast experience in a day, and why?
Figure 6 - How longshore drift works (Brief). Source: Classwork image (originally from Google images)
One of the greater messages conveyed through An Ocean Apart, A World Away, pertains to the eradication of sexism, encouraging equality between all genders, and re-establishing the independence of women in many cultures. The author demonstrates the struggles of one individual assimilating into a foreign culture. The difference between the Chinese and American culture is evident as are the attempts of the main character to assimilate, and adapt to his/her new surroundings. The novel compares the stereotypes women face in both the Chinese and American culture and clearly regards it as an issue. An Ocean Apart, A World Away is a unique story with an important message, providing great insight into the history of China while maintaining a subtle sense of humour to keep the story entertaining. It also has a strong female protagonist but failed to successfully develop secondary characters. Other female characters could have aided the story in giving a stronger message as well as creating a more interesting plot. The plot lacked many details during the events, causing the plot to seem rushed. Although the story is lacking in some aspects, readers will find themselves fully engrossed into the daily lives of Chinese women during the early 1900s.
In the article “A Tsunami, Where?” (2015). On June 2013 a storm have hit the East Coast in the U.S that results in tsunami. Over 30 tide gauges have reported similar tsunami conditions. The highest capacity was recorded in Newport located in Rhode Island. In addition, Conditions showed a conceivable torrent, even to the individuals who did not have the guide of the tide gages. Brian Coen was spearfishing at Barnegat Inlet in Ocean County, New Jersey he saw a solid outrush of water as the tide went out. Outrush conveyed jumpers over submerged rocks that serve as a barrier, the strong waves carried the three drivers but only two were harmed. However, Ebersole reviewed that before long, the current switched at the same pace. A close-by gage recorded
In Longfellow’s poem, The Tide Rises, the Tide Falls, Longfellow states “The little waves, with their soft white hands, / Efface the footprints in the sands.” By personifying the waves in the ocean, longfellow reveals the truth that all humans eventually die and their mark on the world is erased, like the waves wash away the footprints. In this imaginative way, Longfellow shows how no one lasts forever. Multiple times in other parts of the poem, Longfellow writes “And the tide rises, the tide falls.” Longfellow is expressing that the ocean is continuous, regardless of what happens. After losing his second wife, Longfellow was very depressed, and in this poem he is accepting that life goes on after someone dies. Using his imagination, Longfellow states the truth of the inevitability of death and the fact that life does not stop in the event of
Sara M. Evans, in her book, Tidal Wave: How Women Changed America at Century’s End, chronicles feminist activities over several decades from just before the beginning of the women’s liberation movement in the 1960’s through the 1990’s. Doctor Evans was born in 1943 and currently teaches at the University of Minnesota in the history department after receiving both her B.A. and M.A. at Duke University and then later her PhD from the University of North Carolina Chapel Hill.
The Sun’s radiation heats the upper atmosphere, sending the energy toward the earth’s surface and finally mixes with the planet’s counter-rotational currents, creating jetstream flows. The winds flow over the ocean’s surface creating friction that spawns chops, pushing up the seas forming perfect bands of open ocean swell. Pushed on by gravitational forces, the swells speed away from the winds that they came from, moving across the deeps until they feel the drag of the shallows near the coast. As the swells rise up out of themselves, they peak, curling into the liquid dreams that we surfers ride (Kampton 4).
Seffen, P., & Moravchik, B. (2008, March 25). Estuaries 101 Middle School Curriculum. Retrieved March 11, 2014, from http://estuaries.noaa.gov/Teachers/estuaries.aspx
Once a child has reached the age of 15 they can decide which line of work they would like to go into. If one decides they would like to be a musician and be a direct line of communication to the Tide, they must be chosen by the Tide. In order to be chosen, the young adult is given one trial run at leading a chant or song of their choice, asking for a blessing in hopes that the Tide will positively respond to their prayer. If the Tide provides what was asked for during the trial chant led by the young adult, then they have been deemed chosen to become a full fledged musician with the power to have direct communication with the Tide. Later in this essay I will discuss the ins and outs of these sacred rituals, but for now let’s move on to the most important and smallest group of this community, the
That is causing tides just like the oceans on earth. A push pull effect of the water underneath the moon or planet. (Robert H. Tyler, cellphone August, 27th, 2015). Dr. Tyler has to use scientific method to help prove his theories to be correct. First Dr.Tyler will found his problem (why are there oceans under 50 miles of think oceans.).
The area of the Atlantic Ocean popularly referred to as the Bermuda Triangle is a complete enigma and has proven to be so for much of recorded history. Many seemingly inexplicable occurrences and disappearances have taken place in this particular area. No rational explanation that will satisfy the materialistic parameters of the typical scientist has been offered that would account for all the mysterious happenings that have taken place in the Bermuda Triangle during the course of many thousands of years.
Ocean currents are horizontal or vertical movement of both surface and deep water throughout the world’s oceans (Briney, n.d.). The primary generating forces are wind and differences in water density caused by variations in temperature and salinity. Currents generated by these forces are modified by factors such as the depth of the water, ocean floor topography and deflection by the rotation of the Earth. Horizontal currents are wind driven, fast moving and carries small amount of water; while, vertical currents are slow moving, density driven and carries large bodies of water. In this paper I will describe horizontal and vertical currents, their importance and some of the tools used to measure ocean currents.
?The Eagle has landed.? Many people use this phrase without knowing where it came from. On July 20, 1969, NASA astonished the world, when Neil Armstrong spoke these words when the Apollo spacecraft, nicknamed ?the Eagle,? landed on the moon?s surface. He later spoke the famous words, ?One small step for man, one giant leap for mankind,? when he was the first man to set foot on the moon. When astronauts walk on the moon, they are allowed to breathe, because of their space suits. These space suits have oxygen tanks in them, and allow astronauts to stay out in space for up to seven hours at a time. They have to think ahead a few steps so they can step or turn without difficulty, because they have to take huge steps. The pull of gravity on the moon is one-sixth lower than the pull of gravity on the Earth, which makes them a lot lighter on the moon. The moon?s gravitational pull controls the ocean?s tides on the Earth. The moon pulls the Earth and water towards it, which causes an increase of water nearest the moon. As the moon pulls the core of the Earth towards it, the water on the side farthest away from the moon flings around to the side, and creates an increase of water there, too. The increase of water is called a high tide. On the sides of the Earth not facing the sun or moon, there are low tides. Each beach or po...
The evolution story of Ocean Basket has the hallmarks of early humble beginnings to now being a seafood franchise restaurant playing in the big leagues.