Finding an Equation Between the Pouring Angle and Volume Regarding to the Coffee Pot

by Cha Ma

 

Submitted : Spring 2016

Coffee pot is most used item in our day life. In this project, I will be trying to use an equation to explain the relationship between the angle and the volume that the coffee pot has poured out. First of all, the curve of the coffee pot is not a perfect curve, it is hard to find out only using one equation to express the whole curve of coffee pot on the sides. Therefore, the curve can be estimated by using many different definite integrals in two-dimensional space. In this way, the volume can be evaluated accurately. Since the volume has been evaluated, the angle can be related to the volume by using trigonometric functions. In the end, we have three different equations to explain the relationship between the angle and the volume regarding the coffee pot in different ranges.

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	Advisors :
	Arcadii Grinshpan, Mathematics and Statistics
	Yadang Li, Cell Biology, Microbiology, and Molecular Biology
	Suggested By :
	Cha Ma