Equation for Egg Volume Calculation Based on Smart’s Model

Yu-Kai Weng, Cheng-Han Li, Chia-Chun Lai and Ching-Wei Cheng
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Yu-Kai Weng: Department of Bio-Industrial Mechatronics Engineering, National Chung Hsing University, Taichung 40227, Taiwan
Cheng-Han Li: Department of Bio-Industrial Mechatronics Engineering, National Chung Hsing University, Taichung 40227, Taiwan
Chia-Chun Lai: Department of Bio-Industrial Mechatronics Engineering, National Chung Hsing University, Taichung 40227, Taiwan
Ching-Wei Cheng: Department of Computer Science and Information Engineering, National Taichung University of Science and Technology, Taichung 40401, Taiwan

Mathematics, 2022, vol. 10, issue 10, 1-9

Abstract: In the egg industry, it is necessary to estimate the egg volume accurately when estimating egg quality or freshness in a non-destructive method. Egg volume and weight could obtain egg density and could be used to determine egg freshness. Therefore, the egg geometric must be obtained first to establish a volume equation with a geometric shape. This research proposes an innovative idea to derive the mathematical model and volume equation of egg shape, calculate its volume, and verify the accuracy of the mathematical equation proposed using the volume displacement method. Using the proposed equation, the minimum error between the calculated egg volume) and actual egg volume is 0.01%. The maximum volume error does not exceed 2%. The egg shape equation can accurately draw the outer contour curve of the egg by the half-length of the maximum long axis and maximum breadth of the short axis, and the distance from the center point of the egg to the maximum breadth ( x m ).

Keywords: egg shape equation; displacement of volume method; egg volume (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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