We can make some interesting mathematics problems by taking some information from the actual situation and making some simplifying assumptions to make the problems solvable on a reasonable amount of time
- The well is leaking 5,000 barrels of oil per day (Thought to be true initially, but later raised a great deal)
- The well is located about 5 miles from the coast (True)
- The oil will form a circle as it reaches the surface of the water. (Not True)
- The oil slick will have a consistent thickness of 100 µm (micrometres) (Not True)
- Please find the radius of the spill after 1 day,2 days,3 days,4 days,5 days,10 days, and 20 days. (Do each calculation by first finding the volume of the oil released, then finding the radius of the cylinder 100µm thick that contains that much oil.
- Find an explicit equation that gives the radius of the oil slick as a function of time.
- Please graph the radius of the spill as a function of time.
- Please estimate how long it will take the spill to reach the coast.
- Write a clear explanation of why the volume of the oil and the radius of the slick are not directly proportional.